{"id":2930,"date":"2021-07-23T06:14:15","date_gmt":"2021-07-23T00:44:15","guid":{"rendered":"http:\/\/ncertsolutions.guru\/?p=2930"},"modified":"2021-07-23T17:38:39","modified_gmt":"2021-07-23T12:08:39","slug":"ncert-solutions-for-class-9-maths-chapter-10-hindi","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium)"},"content":{"rendered":"<h2><span style=\"color: #00ccff;\">NCERT Solutions for Class 9 Maths Chapter 10 Circles (\u0935\u0943\u0924\u094d\u0924) (Hindi Medium)<\/span><\/h2>\n<p>These Solutions are part of <a href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths\/\">NCERT Solutions for Class 9 Maths in Hindi Medium<\/a>. Here we have given NCERT Solutions for Class 9 Maths Chapter 10 Circles.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.1\u00a0<\/strong><\/span><\/p>\n<p><strong>Ex 10.1 Class 9 \u0917\u0923\u093f\u0924 Q1. \u0916\u093e\u0932\u0940 \u0938\u094d\u0925\u093e\u0928 \u092d\u0930\u093f\u090f:<\/strong><br \/>\n<strong>(i)\u00a0\u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 (\u092c\u0939\u093f\u0930\u094d\u092d\u093e\u0917\/\u0905\u092d\u094d\u092f\u0902\u0924\u0930)\u0964<\/strong><br \/>\n<strong>(ii) \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941, \u091c\u093f\u0938\u0915\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0938\u0947 \u0926\u0942\u0930\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0938\u0947 \u0905\u0927\u093f\u0915\u00a0\u0939\u094b, \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. \u0938\u094d\u0925\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 (\u092c\u0939\u093f\u0930\u094d\u092d\u093e\u0917\/\u0905\u092d\u094d\u092f\u0902\u0924\u0930)\u0964<\/strong><br \/>\n<strong>(iii) \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0940 \u091c\u0940\u0935\u093e \u0935\u0943\u0924\u094d\u0924 \u0915\u093e &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;. \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<strong>(iv) \u090f\u0915 \u091a\u093e\u092a &#8230;&#8230;&#8230;&#8230;&#8230;.. \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u092c \u0907\u0938\u0915\u0947\u00a0\u0938\u093f\u0930\u0947 \u090f\u0915 \u0935\u094d\u092f\u093e\u0938 \u0915\u0947\u00a0\u0938\u093f\u0930\u0947 \u0939\u094b\u0902\u0964<\/strong><br \/>\n<strong>(v) \u0935\u0943\u0924\u094d\u0924\u0916\u0902\u0921 \u090f\u0915 \u091a\u093e\u092a \u0924\u0925\u093e &#8230;&#8230;&#8230;&#8230;&#8230;&#8230; \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u092d\u093e\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<strong>(vi) \u090f\u0915 \u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938 \u0924\u0932 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0909\u0938\u0947 &#8230;&#8230;&#8230;&#8230;&#8230;. \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0909\u0924\u094d\u0924\u0930 :\u00a0<\/strong><br \/>\n(i) \u0905\u092d\u094d\u092f\u0902\u0924\u0930<br \/>\n(ii) \u092c\u0939\u093f\u0930\u094d\u092d\u093e\u0917<br \/>\n(iii) \u092c\u094d\u092f\u093e\u0938<br \/>\n(iv) \u0905\u0930\u094d\u0927\u0935\u0943\u0924<br \/>\n(v) \u091c\u0940\u0935\u093e<br \/>\n(vi) \u0905\u0928\u0902\u0924<\/p>\n<p><strong>Ex 10.1 Class 9 \u0917\u0923\u093f\u0924\u00a0Q2. \u0932\u093f\u0916\u093f\u090f, \u0938\u0924\u094d\u092f \u092f\u093e \u0905\u0938\u0924\u094d\u092f\u0964 \u0905\u092a\u0928\u0947 \u0909\u0924\u094d\u0924\u0930 \u0915\u0947\u00a0\u0915\u093e\u0930\u0923 \u0926\u0940\u091c\u093f\u090f\u0964<\/strong><br \/>\n<strong>(i) \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u094b \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0915\u093f\u0938\u0940 \u092c\u093f\u0928\u094d\u0926\u0941 \u0938\u0947 \u092e\u093f\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u0930\u0947\u0916\u093e\u0916\u0902\u0921 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/strong><br \/>\n<strong>(ii) \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0932\u0902\u092c\u093e\u0908 \u0915\u0940 \u092a\u0930\u093f\u092e\u093f\u0924 \u091c\u0940\u0935\u093e\u090f\u0901 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<\/strong><br \/>\n<strong>(iii) \u092f\u0926\u093f \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u094b \u0924\u0940\u0928 \u092c\u0930\u093e\u092c\u0930 \u091a\u093e\u092a\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f \u0926\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092d\u093e\u0917 \u0926\u0940\u0930\u094d\u0918 \u091a\u093e\u092a \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<strong>(iv) \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u090f\u0915 \u091c\u0940\u0935\u093e, \u091c\u093f\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0938\u0947 \u0926\u094b \u0917\u0941\u0928\u0940 \u0939\u094b, \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u0939\u0948\u0964<\/strong><br \/>\n<strong>(v) \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u0916\u0902\u0921, \u091c\u0940\u0935\u093e \u090f\u0935\u0902 \u0938\u0902\u0917\u0924 \u091a\u093e\u092a \u0915\u0947\u00a0\u092c\u0940\u091a \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u00a0\u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<strong>(vi) \u0935\u0943\u0924\u094d\u0924 \u090f\u0915 \u0938\u092e\u0924\u0932 \u0906\u0915\u0943\u0924\u093f\u00a0\u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0909\u0924\u094d\u0924\u0930:\u00a0<\/strong><br \/>\n(i) \u0938\u0924\u094d\u092f<br \/>\n(ii) \u0938\u0924\u094d\u092f<br \/>\n(iii) \u0905\u0938\u0924\u094d\u092f<br \/>\n(iv) \u0938\u0924\u094d\u092f<br \/>\n(v) \u0905\u0938\u0924\u094d\u092f<br \/>\n(vi) \u0938\u0924\u094d\u092f<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.2<\/strong><\/span><\/p>\n<p><strong>Ex 10.2 Class 9 \u0917\u0923\u093f\u0924 Q1. \u092f\u093e\u0926 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u092f\u0926\u093f \u0909\u0928\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0902\u0964 \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u092c\u0930\u093e\u092c\u0930 \u091c\u0940\u0935\u093e\u090f\u0901 \u0909\u0928\u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u092a\u0930 \u092c\u0930\u093e\u092c\u0930 \u0915\u094b\u0923 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1777\/43178913785_35a5442107_o.jpg?resize=374%2C159&#038;ssl=1\" alt=\"NCERT Solutions For Class 9 Maths Circles Hindi Medium 10.2 1\" width=\"374\" height=\"159\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0O \u0914\u0930 O\u2019 \u0935\u093e\u0932\u0947 \u0926\u094b \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e<br \/>\n\u0935\u0943\u0924\u094d\u0924 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0940 \u092c\u0930\u093e\u092c\u0930 \u091c\u0940\u0935\u093e\u090f\u0902 AB = PQ \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\n\u2220AOB =\u00a0\u2220PO\u2019Q \u0939\u0948 |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u0394AOB \u0924\u0925\u093e\u00a0\u0394PO\u2019Q \u092e\u0947\u0902<br \/>\nAO = PO\u2019 (\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948)<br \/>\nBO = QO\u2019 (\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e)<br \/>\nAB = PQ (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\nSSS \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u0947<br \/>\n\u0394AOB\u00a0<strong>\u2245<\/strong>\u00a0\u0394PO\u2019Q<br \/>\n\u0905\u0924:\u00a0\u00a0\u2220AOB =\u00a0\u2220PO\u2019Q\u00a0 (BY CPCT)<br \/>\nProved.<\/p>\n<p><strong>Ex 10.2 Class 9 \u0917\u0923\u093f\u0924\u00a0Q2. \u0938\u093f\u0926\u094d\u0927\u00a0\u0915\u0940\u091c\u093f\u090f \u0915\u093f \u092f\u0926\u093f \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u091c\u0940\u0935\u093e\u090f\u0901 \u0909\u0928\u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u092a\u0930 \u092c\u0930\u093e\u092c\u0930 \u0915\u094b\u0923 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0947\u0902, \u0924\u094b \u091c\u0940\u0935\u093e\u090f\u0901 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1839\/29147731607_bf62c45139_o.jpg?resize=374%2C159&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.2 2\" width=\"374\" height=\"159\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0O \u0914\u0930 O\u2019 \u0935\u093e\u0932\u0947 \u0926\u094b \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e<br \/>\n\u0935\u0943\u0924\u094d\u0924 \u0939\u0948\u0902 \u091c\u093f\u0928\u092e\u0947\u0902\u00a0\u2220AOB =\u00a0\u2220PO\u2019Q \u0939\u0948|<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nAB = PQ \u0939\u0948|<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u0394AOB \u0924\u0925\u093e\u00a0\u0394PO\u2019Q \u092e\u0947\u0902<br \/>\nAO = PO\u2019 (\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948)<br \/>\nBO = QO\u2019 (\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e)<br \/>\n\u2220AOB =\u00a0\u2220PO\u2019Q (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\nSSS \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u0947<br \/>\n\u0394AOB\u00a0<strong>\u2245<\/strong>\u00a0\u0394PO\u2019Q<br \/>\n\u0905\u0924:AB = PQ\u00a0 (BY CPCT)<br \/>\nProved.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.3<\/strong><\/span><\/p>\n<p><strong>Ex 10.3 Class 9 \u0917\u0923\u093f\u0924 Q2. \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0906\u092a\u0915\u094b \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0926\u093f\u092f\u093e \u0939\u0948\u0964 \u090f\u0915 \u0930\u091a\u0928\u093e \u0907\u0938\u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u094b \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0926\u0940\u091c\u093f\u090f\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong>\u00a0<strong>\u0930\u091a\u0928\u093e \u0915\u0947 \u092a\u0926 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1811\/29147731667_7e1f839472_o.jpg?resize=354%2C343&#038;ssl=1\" alt=\"Maths NCERT Solutions Class 9 Circles Hindi Medium 10.3 2\" width=\"354\" height=\"343\" data-recalc-dims=\"1\" \/><br \/>\n(i) \u0926\u093f\u092f\u093e \u0939\u0941\u0906 \u092c\u093f\u0928\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u093e \u090f\u0915 \u0916\u093f\u0902\u091a\u093e |<br \/>\n(ii) \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0924\u0940\u0928 \u0905\u0938\u0902\u0930\u0947\u0916\u0940 \u092c\u093f\u0928\u094d\u0926\u0941\u090f\u0901 A, B \u0924\u0925\u093e C \u0921\u093e\u0932\u093e \u0914\u0930 A \u0915\u094b B \u0938\u0947 \u0914\u0930 B \u0915\u094b C \u0938\u0947 \u092e\u093f\u0932\u093e\u092f\u093e |<br \/>\n(iii) \u0930\u0947\u0916\u093e\u0916\u0902\u0921 AB \u0914\u0930 BC \u0915\u093e \u0932\u0902\u092c \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0916\u093f\u0902\u091a\u093e \u091c\u094b \u090f\u0915 \u0926\u0941\u0938\u0930\u0947 \u0915\u094b \u092c\u093f\u0902\u0926\u0941 O \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 |<br \/>\n(iv) \u092c\u093f\u0902\u0926\u0941 O \u0939\u0940 \u0926\u093f\u090f \u0917\u090f \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0905\u092d\u0940\u0937\u094d\u091f \u0915\u0947\u0902\u0926\u094d\u0930 \u0939\u0948 |<\/p>\n<p><strong>Ex 10.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q3. \u092f\u0926\u093f \u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u092a\u0930\u0938\u094d\u092a\u0930 \u0926\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0947\u0902, \u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0909\u0928\u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u091c\u0940\u0935\u093e \u0915\u0947 \u0932\u092e\u094d\u092c \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0O \u0914\u0930 O\u2019 \u0935\u093e\u0932\u0947 \u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u090f\u0915<br \/>\n\u0926\u0941\u0938\u0930\u0947 \u0915\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 A \u0914\u0930 B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<br \/>\n\u0905\u0924: \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u091c\u0940\u0935\u093e AB \u0939\u0948 |<br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0O \u0914\u0930 O\u2019 \u0935\u093e\u0932\u0947 \u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u090f\u0915<br \/>\n\u0926\u0941\u0938\u0930\u0947 \u0915\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 A \u0914\u0930 B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<br \/>\n\u0905\u0924: \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u091c\u0940\u0935\u093e AB \u0939\u0948 |<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1819\/29147732287_a143a0bb21_o.jpg?resize=371%2C32&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.3 3\" width=\"371\" height=\"32\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1774\/43366680434_fc91e8d8f3_o.jpg?resize=398%2C729&#038;ssl=1\" alt=\"Class 9 Maths NCERT Circles Solutions Hindi Medium 10.3 3.1\" width=\"398\" height=\"729\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1818\/30217096908_b29ae2ea2e_o.jpg?resize=385%2C238&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 9 Circles Hindi Medium 10.3 3.2\" width=\"385\" height=\"238\" data-recalc-dims=\"1\" \/><br \/>\n\u0905\u092c \u091a\u0942\u0901\u0915\u093f AB \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u0939\u0948 |<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.4<\/strong><\/span><\/p>\n<p><strong>Ex 10.4 Class 9 \u0917\u0923\u093f\u0924 Q1. 5<\/strong>\u00a0<strong>cm \u0924\u0925\u093e\u00a0<\/strong><strong>3<\/strong>\u00a0<strong>cm \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u0926\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u0925\u093e \u0909\u0928\u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940\u00a0<\/strong><strong>4<\/strong><strong>\u00a0cm \u0939\u0948\u0964 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u091c\u0940\u0935\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1794\/30217097118_8a7cd21ec4_o.jpg?resize=294%2C188&#038;ssl=1\" alt=\"NCERT Class 9 Maths Hindi Medium Circles Solutions 10.4 1\" width=\"294\" height=\"188\" data-recalc-dims=\"1\" \/><br \/>\nAO = 5 cm<br \/>\nAO\u2019 = 3 cm<br \/>\nOO\u2019 = 4 cm<br \/>\nAB = ?<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1817\/30217097008_102ec4e79f_o.jpg?resize=344%2C707&#038;ssl=1\" alt=\"NCERT Maths Class 9 Hindi Medium Circles Solutions 10.4 1.1\" width=\"344\" height=\"707\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q2.<\/strong><strong>\u00a0\u092f\u0926\u093f \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928 \u091c\u0940\u0935\u093e\u090f\u0901 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0947\u0902<\/strong><strong>,\u00a0<\/strong><strong>\u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u090f\u0915<\/strong><strong>\u091c\u0940\u0935\u093e \u0915\u0947 \u0916\u0902\u0921 \u0926\u0942\u0938\u0930\u0940 \u091c\u0940\u0935\u093e \u0915\u0947 \u0938\u0902\u0917\u0924 \u0916\u0902\u0921\u094b\u0902 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1799\/30217097608_2a552c5d4f_o.jpg?resize=186%2C190&#038;ssl=1\" alt=\"NCERT Solutions For Maths Class 9 Circles Hindi Medium 10.4 2\" width=\"186\" height=\"190\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0926\u094b \u092c\u0930\u093e\u092c\u0930<br \/>\n\u091c\u0940\u0935\u093e\u090f\u0902 AB \u0924\u0925\u093e CD \u0939\u0948\u0902 | \u091c\u094b \u090f\u0915 \u0926\u0941\u0938\u0930\u0947 \u0915\u094b<br \/>\n\u092c\u093f\u0902\u0926\u0941 E \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0AE = CE \u0914\u0930 BE = DE \u0939\u0948 |<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong>\u00a0O \u0938\u0947 M \u0924\u0925\u093e N \u0915\u094b \u092e\u093f\u0932\u093e\u092f\u093e |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1777\/30217097248_4a304a4c5b_o.jpg?resize=445%2C364&#038;ssl=1\" alt=\"Maths NCERT Solutions Class 9 Circles Hindi Medium 10.4 2.1\" width=\"445\" height=\"364\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1771\/30217097468_36d6c2bc9a_o.jpg?resize=330%2C143&#038;ssl=1\" alt=\"Maths NCERT Class 9 Solutions Circles Hindi Medium 10.4 2.2\" width=\"330\" height=\"143\" data-recalc-dims=\"1\" \/><br \/>\n\u092f\u093e\u00a0\u00a0\u00a0 AM = CN\u00a0\u00a0 &#8230;&#8230; (2)<br \/>\n\u092f\u093e\u00a0\u00a0\u00a0 BM = DN\u00a0\u00a0 &#8230;&#8230;. (3)<br \/>\n\u0905\u092c \u0938\u092e\u0940\u0915\u0930\u0923 (2) \u092e\u0947\u0902 \u0938\u0947 (1) \u0918\u091f\u093e\u0928\u0947 \u092a\u0930<br \/>\nAM \u2013 EM = CN \u2013 EN<br \/>\n\u092f\u093e\u00a0 AE = CE\u00a0\u00a0<strong>Proved (i)<\/strong><br \/>\n\u0905\u092c \u0938\u092e\u0940\u0915\u0930\u0923 (3) \u092e\u0947\u0902 (1) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nBM + EM = DN + EN<br \/>\n\u092f\u093e\u00a0 BE = DE\u00a0<strong>Proved (ii)<\/strong><br \/>\n\u0905\u0924: AE = CE \u0914\u0930 BE = DE \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f \u091c\u0940\u0935\u093e \u0915\u0947 \u0938\u0902\u0917\u0924 \u0905\u0902\u0924:\u0916\u0902\u0921 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902 |<\/p>\n<p><strong>Ex 10.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q3.<\/strong><strong>\u00a0\u092f\u0926\u093f \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928 \u091c\u0940\u0935\u093e\u090f\u0901 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0947\u0902<\/strong><strong>,\u00a0<\/strong><strong>\u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f\u00a0<\/strong><strong>\u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u094b \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 \u092e\u093f\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u091c\u0940\u0935\u093e\u0913\u0902 \u0938\u0947 \u092c\u0930\u093e\u092c\u0930 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1800\/29147733237_ced908481b_o.jpg?resize=186%2C190&#038;ssl=1\" alt=\"Maths NCERT Class 9 Solutions Circles Hindi Medium 10.4 3\" width=\"186\" height=\"190\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0926\u094b \u092c\u0930\u093e\u092c\u0930 \u091c\u0940\u0935\u093e\u092f\u0947\u0902<br \/>\nAB \u0924\u0925\u093e CD \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u092c\u093f\u0902\u0926\u0941 E \u092a\u0930<br \/>\n\u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong>\u00a0E \u0915\u094b \u0915\u0947\u0902\u0926\u094d\u0930 O \u0938\u0947 \u092e\u093f\u0932\u093e\u092f\u093e |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1833\/29147733137_6160efece1_o.jpg?resize=448%2C468&#038;ssl=1\" alt=\"Maths Class 9 NCERT Solutions Hindi Medium 10.4 3.1\" width=\"448\" height=\"468\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q4. \u092f\u0926\u093f \u090f\u0915 \u0930\u0947\u0916\u093e \u0926\u094b \u0938\u0902\u0915\u0947\u0902\u0926\u094d\u0930\u0940 \u0935\u0943\u0924\u094b\u0902 (\u090f\u0915 \u0939\u0940 \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924) \u0915\u094b, \u091c\u093f\u0928\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 O \u0939\u0948, A, B, C \u0914\u0930 D \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0947, \u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f AB = CD \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1794\/43178916655_e948ea3d0e_o.jpg?resize=229%2C190&#038;ssl=1\" alt=\"Circles Maths Solutions For Class 9 NCERT Hindi Medium 10.4 4\" width=\"229\" height=\"190\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0\u0926\u094b \u0938\u0902\u0915\u0947\u0902\u0926\u094d\u0930\u0940 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0928\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 O \u0939\u0948 |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1793\/29147733367_47d36dede8_o.jpg?resize=280%2C218&#038;ssl=1\" alt=\"Circles Solutions For Maths NCERT Class 9 Hindi Medium 10.4 4.1\" width=\"280\" height=\"218\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1772\/43178916545_2fa5f9571e_o.jpg?resize=369%2C423&#038;ssl=1\" alt=\"Class 9 NCERT Maths Circles Solutions Hindi Medium 10.4 4.2\" width=\"369\" height=\"423\" data-recalc-dims=\"1\" \/><br \/>\n\u090f\u0915 \u0930\u0947\u0916\u093e \u0935\u0943\u0924\u094d\u0924 \u0915\u094b A, B, C \u0914\u0930 D \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<\/p>\n<p><strong>Ex 10.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q5.\u00a0<\/strong><strong>\u090f\u0915 \u092a\u093e\u0930\u094d\u0915 \u092e\u0947\u0902 \u092c\u0928\u0947 5 m \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0916\u0921\u093c\u0940<\/strong>\u00a0<strong>\u0924\u0940\u0928 \u0932\u0921\u093c\u0915\u093f\u092f\u093e\u0901 \u0930\u0947\u0936\u092e\u093e<\/strong><strong>,\u00a0<\/strong><strong>\u0938\u0932\u092e\u093e \u090f\u0935\u0902 \u092e\u0928\u0926\u0940\u092a \u0916\u0947\u0932 \u0930\u0939\u0940<\/strong>\u00a0<strong>\u0939\u0948\u0902\u0964 \u0930\u0947\u0936\u092e\u093e \u090f\u0915 \u0917\u0947\u0902\u0926 \u0915\u094b \u0938\u0932\u092e\u093e \u0915\u0947 \u092a\u093e\u0938<\/strong><strong>,\u00a0<\/strong><strong>\u0938\u0932\u092e\u093e<\/strong>\u00a0<strong>\u092e\u0928\u0926\u0940\u092a \u0915\u0947 \u092a\u093e\u0938 \u0924\u0925\u093e \u092e\u0928\u0926\u0940\u092a \u0930\u0947\u0936\u092e\u093e \u0915\u0947 \u092a\u093e\u0938<\/strong><strong>\u00a0\u092b\u0947\u0902<\/strong><strong>\u0915\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0930\u0947\u0936\u092e\u093e \u0924\u0925\u093e \u0938\u0932\u092e\u093e \u0915\u0947 \u092c\u0940\u091a \u0914\u0930<\/strong>\u00a0<strong>\u0938\u0932\u092e\u093e \u0924\u0925\u093e \u092e\u0928\u0926\u0940\u092a \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0926\u0942\u0930\u0940 6 m \u0939\u094b<\/strong><strong>,\u00a0<\/strong><strong>\u0924\u094b \u0930\u0947\u0936\u092e\u093e \u0914\u0930 \u092e\u0928\u0926\u0940\u092a \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u094d\u092f\u093e \u0939\u0948<\/strong><strong>?<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1815\/43178917125_c0670e25ec_o.jpg?resize=241%2C239&#038;ssl=1\" alt=\"NCERT Solutions For Class 9 Maths Circles PDF Hindi Medium 10.4 5\" width=\"241\" height=\"239\" data-recalc-dims=\"1\" \/><br \/>\n\u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 O \u0914\u0930 \u0914\u0930 \u092e\u093e\u0928\u093e \u0915\u093f \u0935\u0943\u0924\u094d\u0924 \u092a\u0930<br \/>\n\u0930\u0947\u0936\u092e\u093e (R), \u0938\u0932\u092e\u093e (S) \u0914\u0930 \u092e\u0928\u0926\u0940\u092a (M) \u0939\u0948 |<br \/>\nRS = 6 m, SM = 6 m \u0914\u0930 RM = ?<br \/>\nOR = OS = 5 cm \u0939\u0948 |<br \/>\n\u0394ROS\u00a0 \u092e\u0947\u0902,<br \/>\na = 5 cm, b = 5cm \u0914\u0930 c = 6 cm<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1792\/43178916905_0308cfa15a_o.jpg?resize=426%2C636&#038;ssl=1\" alt=\"Class 9th Maths NCERT Circles Solutions Hindi Medium 10.4 5.1\" width=\"426\" height=\"636\" data-recalc-dims=\"1\" \/><br \/>\nRM = 2 \u00d7 RN<br \/>\nRM = 2 \u00d7 4.8 = 9.6 m<br \/>\n\u0905\u0924: \u0930\u0947\u0936\u092e\u093e \u0914\u0930 \u092e\u0928\u0926\u0940\u092a \u0915\u0940 \u092c\u0940\u091a \u0915\u0940 \u0926\u0941\u0930\u0940 9.6 \u0939\u0948 |<\/p>\n<p><strong>Ex 10.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q6.\u00a0<\/strong><strong>20 m \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u093e \u090f\u0915 \u0917\u094b\u0932 \u092a\u093e\u0930\u094d\u0915\u00a0<\/strong><strong>(<\/strong><strong>\u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930) \u090f\u0915 \u0915\u093e\u0932\u094b\u0928\u0940 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964 \u0924\u0940\u0928 \u0932\u0921\u093c\u0915\u0947\u00a0<\/strong><strong>\u0905\u0902\u0915\u0941\u0930<\/strong><strong>,\u00a0<\/strong><strong>\u0938\u0948\u092f\u0926 \u0924\u0925\u093e \u0921\u0947\u0935\u093f\u0921 \u0907\u0938\u0915\u0940 \u092a\u0930\u093f\u0938\u0940\u092e\u093e \u092a\u0930 \u092c\u0930\u093e\u092c\u0930 \u0926\u0942\u0930\u0940 \u092a\u0930 \u092c\u0948\u0920\u0947 \u0939\u0948\u0902 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0947 \u0939\u093e\u0925 \u092e\u0947\u0902 \u090f\u0915 \u0916\u093f\u0932\u094c\u0928\u093e \u091f\u0947\u0932\u0940\u092b\u094b\u0928 \u0906\u092a\u0938 \u092e\u0947\u0902 \u092c\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092b\u094b\u0928 \u0915\u0940 \u0921\u094b\u0930\u0940<\/strong>\u00a0<strong>\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1795\/43178918065_d0b56b8ff2_o.jpg?resize=245%2C264&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.4 6\" width=\"245\" height=\"264\" data-recalc-dims=\"1\" \/><br \/>\n\u092e\u093e\u0928\u093e \u0905\u0902\u0915\u0941\u0930 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f A, \u0938\u0948\u092f\u0926 \u0915\u0940 S \u0914\u0930 \u0921\u0947\u0935\u093f\u0921 \u0915\u0940 D \u0939\u0948 |<br \/>\n\u0905\u0924: \u092b\u094b\u0928 \u0915\u0940 \u0921\u094b\u0930\u0940 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 AS = SD = AD = x m \u0939\u0948 |<br \/>\n\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e AO = OS = OD = 20 m \u0939\u0948 |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1780\/43178917335_0d0886b3f1_o.jpg?resize=428%2C698&#038;ssl=1\" alt=\"NCERT Maths Book Class 9 Circles Solutions Hindi Medium 10.4 6.1\" width=\"428\" height=\"698\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1835\/43178917465_ccce480e9e_o.jpg?resize=377%2C237&#038;ssl=1\" alt=\"Class 9 NCERT Solutions Maths Circles Hindi Medium 10.4 6.2\" width=\"377\" height=\"237\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1832\/43178917615_5c32912383_o.jpg?resize=572%2C675&#038;ssl=1\" alt=\"Class 9 NCERT Solutions Maths Circles Hindi Medium 10.4 6.3\" width=\"572\" height=\"675\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1835\/43178917825_065dc76072_o.jpg?resize=253%2C178&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.4 6.4\" width=\"253\" height=\"178\" data-recalc-dims=\"1\" \/><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.5<\/strong><\/span><\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924 Q1. \u0906\u0915\u0943\u0924\u093f 10.36 \u092e\u0947\u0902, \u0915\u0947\u0902\u0926\u094d\u0930 O \u0935\u093e\u0932\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0924\u0940\u0928 \u092c\u093f\u0902\u0926\u0941 A, B \u0914\u0930 C \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u0902 \u0915\u093f <\/strong>\u2220<strong>BOC = 30<sup>\u0966<\/sup>\u00a0\u0924\u0925\u093e\u00a0<\/strong>\u2220<strong>AOB = 60<sup>\u0966<\/sup>\u00a0\u0939\u0948 | \u092f\u0926\u093f \u091a\u093e\u092a ABC \u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 D \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948, \u0930\u094b\u00a0<\/strong>\u2220<strong>ADC \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1791\/43178918105_9388bb92ac_o.jpg?resize=224%2C223&#038;ssl=1\" alt=\"9th Class Maths NCERT Circles Hindi Medium Solutions 10.5 1\" width=\"224\" height=\"223\" data-recalc-dims=\"1\" \/><br \/>\n\u2220AOC = 2\u00a0\u2220ADC\u00a0 (\u092a\u094d\u0930\u092e\u0947\u092f 10.8 \u0938\u0947 )<br \/>\n[ \u090f\u0915 \u091a\u093e\u092a \u0926\u094d\u0935\u093e\u0930\u093e \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0936\u0947\u0937 \u092d\u093e\u0917 \u0915\u0947 \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 \u0915\u093e \u0926\u0941\u0917\u0941\u0928\u093e \u0939\u094b\u0924\u093e \u0939\u0948 | ]<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1798\/43178918005_443ac4aa72_o.jpg?resize=286%2C233&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 1.1\" width=\"286\" height=\"233\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q2. \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u090f\u0915 \u091c\u0940\u0935\u093e \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 | \u091c\u0940\u0935\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0932\u0918\u0941 \u091a\u093e\u092a \u0915\u0947 \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0924\u0925\u093e \u0926\u0940\u0930\u094d\u0918 \u091a\u093e\u092a \u0915\u0947 \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u092d\u0940 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1838\/43178918455_ce3269b5cd_o.jpg?resize=183%2C221&#038;ssl=1\" alt=\"CBSE Class 9 Maths Circles Hindi Medium Solutions 10.5 2\" width=\"183\" height=\"221\" data-recalc-dims=\"1\" \/><br \/>\n\u091a\u093e\u092a AB \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 OA \u0924\u0925\u093e OB \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f\u00a0\u0394AOB \u090f\u0915 \u0938\u092e\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 |<br \/>\n\u0905\u0924:\u00a0\u2220AOB = 60<sup>\u0966<\/sup>\u00a0(\u0938\u092e\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b\u0923)<br \/>\n\u0905\u092c,\u00a0\u2220AOB = 2\u2220APB<br \/>\n\u0935\u0943\u0924\u094d\u0924\u00a0\u0915\u0947\u00a0\u0915\u0947\u0902\u0926\u094d\u0930\u00a0\u092a\u0930\u00a0\u092c\u0928\u093e\u00a0\u0915\u094b\u0923\u00a0\u0936\u0947\u0937\u00a0\u0935\u0943\u0924\u094d\u0924\u00a0\u092a\u0930\u00a0\u092c\u0928\u0947\u00a0\u0915\u094b\u0923\u00a0\u0915\u093e\u00a0\u0926\u0941\u0917\u0941\u0928\u093e\u00a0\u0939\u094b\u0924\u093e\u00a0\u0939\u0948)<br \/>\n\u092f\u093e\u00a0\u00a0\u00a0 60<sup>\u0966<\/sup>\u00a0= 2\u2220APB<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1817\/43178918355_28c7cc7ec3_o.jpg?resize=314%2C433&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 2.1\" width=\"314\" height=\"433\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q3. \u0906\u0915\u0943\u0924\u093f 10.37 \u092e\u0947\u0902,\u00a0\u2220PQR = 100<sup>\u0966<\/sup>\u00a0\u0939\u0948, \u091c\u0939\u093e\u0901 P, Q \u0924\u0925\u093e R \u0915\u0947\u0902\u0926\u094d\u0930 O \u0935\u093e\u0932\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902 |\u00a0\u2220OPR \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1794\/43178918615_5ac2eb95f7_o.jpg?resize=234%2C209&#038;ssl=1\" alt=\"NCERT Solutions For Class 9 Maths Circles Hindi Medium 10.5 3\" width=\"234\" height=\"209\" data-recalc-dims=\"1\" \/><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 &#8211;\u00a0\u2220PQR = 100<sup>\u0966<\/sup>\u00a0\u0939\u0948 |<br \/>\n\u091a\u0942\u0901\u0915\u093f\u00a0(\u0935\u0943\u0924\u094d\u0924\u00a0\u0915\u0947\u00a0\u0915\u0947\u0902\u0926\u094d\u0930\u00a0\u092a\u0930\u00a0\u092c\u0928\u093e\u00a0\u0915\u094b\u0923\u00a0\u0936\u0947\u0937\u00a0\u0935\u0943\u0924\u094d\u0924\u00a0\u092a\u0930\u00a0\u092c\u0928\u0947\u00a0\u0915\u094b\u0923\u00a0\u0915\u093e\u00a0\u0926\u0941\u0917\u0941\u0928\u093e\u00a0\u0939\u094b\u0924\u093e\u00a0\u0939\u0948)<br \/>\n\u0907\u0938\u0932\u093f\u090f\u00a0\u2220POR = 2\u00a0\u2220PQR<br \/>\n\u092f\u093e \u2220POR = 2 \u00d7 100<sup>\u0966<\/sup><br \/>\n\u092f\u093e \u2220POR = 200<sup>\u0966<\/sup><br \/>\n\u0905\u092c \u092a\u094d\u0930\u0924\u093f\u0935\u0930\u094d\u0924\u0940\u00a0\u2220POR = 360<sup>\u0966<\/sup>\u00a0&#8211; 200<sup>\u0966<\/sup><br \/>\n\u092f\u093e\u00a0 \u092a\u094d\u0930\u0924\u093f\u0935\u0930\u094d\u0924\u0940\u00a0\u2220POR = 160<sup>\u0966<\/sup><br \/>\n\u0394POR \u092e\u0947\u0902, PO = RO (\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e)<br \/>\n\u0907\u0938\u0932\u093f\u090f\u00a0\u2220OPR =\u00a0\u2220ORP\u00a0 &#8230;&#8230;..(1) (\u092c\u0930\u093e\u092c\u0930 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u0915\u094b\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902)<br \/>\n\u0905\u092c, \u00a0\u2220OPR +\u00a0\u2220ORP +\u00a0\u2220POR = 180<sup>\u0966<\/sup>\u00a0 (\u0924\u0940\u0928\u094b\u0902 \u0915\u094b\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917)<br \/>\n\u092f\u093e \u2220OPR +\u00a0\u2220OPR + 160<sup>\u0966<\/sup>\u00a0= 180<sup>\u0966<\/sup>\u00a0 \u0938\u092e\u0940\u0966 (1) \u0938\u0947<br \/>\n\u092f\u093e 2\u00a0\u2220OPR = 180<sup>\u0966<\/sup>\u00a0&#8211; 160<sup>\u0966<\/sup><br \/>\n\u092f\u093e 2\u00a0\u2220OPR = 20<sup>\u0966<\/sup><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1836\/43178918515_c3fc3a2b6b_o.jpg?resize=233%2C98&#038;ssl=1\" alt=\"Maths NCERT Solutions Class 9 Circles Hindi Medium 10.5 3.1\" width=\"233\" height=\"98\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q4. \u0906\u0915\u0943\u0924\u093f 10.38 \u092e\u0947\u0902,\u00a0\u2220ABC = 69<sup>\u0966<\/sup>\u00a0\u0914\u0930\u00a0\u2220ACB = 31<sup>\u0966<\/sup>\u00a0\u0939\u094b, \u0924\u094b\u00a0\u2220BDC \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1798\/43178918715_8883482630_o.jpg?resize=227%2C209&#038;ssl=1\" alt=\"Class 9 Maths NCERT Circles Solutions Hindi Medium 10.5 4\" width=\"227\" height=\"209\" data-recalc-dims=\"1\" \/><br \/>\n\u0394ABC \u092e\u0947\u0902,<br \/>\n\u2220ABC +\u00a0\u2220ACB +\u00a0\u2220BAC = 180<sup>\u0966<\/sup>\u00a0(\u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0924\u0940\u0928\u094b\u0902 \u0915\u093e \u092f\u094b\u0917)<br \/>\n\u092f\u093e 69<sup>\u0966<\/sup>\u00a0+ 31<sup>\u0966<\/sup>\u00a0+\u00a0\u2220BAC = 180<sup>\u0966<\/sup><br \/>\n\u092f\u093e 100<sup>\u0966<\/sup>\u00a0+\u00a0\u2220BAC = 180<sup>\u0966<\/sup><br \/>\n\u092f\u093e \u2220BAC = 180<sup>\u0966<\/sup>\u00a0&#8211; 100<sup>\u0966<\/sup><br \/>\n\u092f\u093e \u2220BAC = 80<sup>\u0966<\/sup><br \/>\n\u0905\u092c \u091a\u0942\u0901\u0915\u093f\u00a0\u2220BAC =\u00a0\u2220BDC<br \/>\n\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220BDC = 80<sup>\u0966<\/sup><\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q5. \u0906\u0915\u0943\u0924\u093f 10.39 \u092e\u0947\u0902, \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 A, B, C \u0914\u0930 D \u091a\u093e\u0930 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902 | AC \u0914\u0930 BD \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 E \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f\u00a0<\/strong>\u2220<strong>BEC = 130\u00b0 \u0924\u0925\u093e\u00a0<\/strong>\u2220<strong>ECD = 20\u00b0 \u0939\u0948 |\u00a0<\/strong>\u2220<strong>BAC \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1798\/44036656302_98f37f208f_o.jpg?resize=213%2C199&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 9 Circles Hindi Medium 10.5 5\" width=\"213\" height=\"199\" data-recalc-dims=\"1\" \/><br \/>\nBED \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220BEC +\u00a0\u2220CED = 180<sup>\u0966<\/sup>\u00a0(\u0930\u0948\u0916\u093f\u0915 \u092f\u0941\u0917\u094d\u092e)<br \/>\n\u092f\u093e 130\u00b0 + \u2220CED = 180<sup>\u0966<\/sup><br \/>\n\u092f\u093e\u00a0\u2220CED = 180<sup>\u0966<\/sup>\u00a0&#8211; 130\u00b0<br \/>\n\u092f\u093e \u2220CED = 50\u00b0<br \/>\n\u0905\u092c\u00a0\u00a0\u00a0\u00a0\u2220BAC =\u00a0\u2220CED\u00a0[\u0915\u094d\u092f\u094b\u0902\u0915\u093f \u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0916\u0902\u0921 \u092e\u0947\u0902 \u092c\u0928\u0947 \u0915\u094b\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902]<br \/>\n\u0907\u0938\u0932\u093f\u090f\u00a0\u2220BAC = 50\u00b0<\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q6. ABCD \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 E \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f\u00a0<\/strong><strong>\u2220<\/strong><strong>DBC = 70\u00b0\u00a0<\/strong><strong>\u0914\u0930\u00a0<\/strong><strong>\u2220<\/strong><strong>BAC = 30\u00b0\u00a0<\/strong><strong>\u0939\u094b, \u0924\u094b\u00a0<\/strong><strong>\u2220<\/strong><strong>BCD\u00a0<\/strong><strong>\u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u092a\u0941\u0928\u0903 \u092f\u0926\u093f\u00a0<\/strong><strong>AB = BC\u00a0<\/strong><strong>\u0939\u094b,\u00a0<\/strong><strong>\u0924\u094b \u00a0<\/strong><strong>\u2220<\/strong><strong>ECD<\/strong><strong>\u00a0\u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u00a0<\/strong><strong>\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1835\/43178918965_9a97f987fe_o.jpg?resize=223%2C221&#038;ssl=1\" alt=\"NCERT Class 9 Maths Hindi Medium Circles Solutions 10.5 6\" width=\"223\" height=\"221\" data-recalc-dims=\"1\" \/><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 \u0915\u093f \u2220DBC = 70\u00b0 \u0914\u0930 \u2220BAC = 30\u00b0 \u0939\u0948 |<br \/>\n\u0905\u092c,\u00a0 \u2220BAC = \u2220BDC\u00a0[\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0916\u0902\u0921 \u092e\u0947\u0902 \u092c\u0928\u0947 \u0915\u094b\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902]<br \/>\n\u0907\u0938\u0932\u093f\u090f, \u2220BDC = 30\u00b0\u00a0 &#8230;&#8230; (1)<br \/>\n\u0905\u092c DBCD \u092e\u0947\u0902,<br \/>\n\u2220BDC = 30\u00b0, \u2220DBC = 70\u00b0 \u0914\u0930 \u2220BCD = ?<br \/>\n\u0905\u092c\u00a0 \u2220BDC + \u2220DBC + \u2220BCD = 180\u00b0\u00a0[\u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0924\u0940\u0928\u094b\u0902 \u0915\u094b\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917]<br \/>\n\u092f\u093e 30\u00b0 + 70\u00b0 + \u2220BCD = 180\u00b0\u00a0 \u0938\u092e\u0940\u0966 (1) \u0938\u0947<br \/>\n\u092f\u093e 100\u00b0 + \u2220BCD = 180\u00b0<br \/>\n\u092f\u093e \u2220BCD = 180\u00b0 &#8211; 100\u00b0<br \/>\n\u092f\u093e \u2220BCD = 80\u00b0<br \/>\n\u0905\u092c, AB = BC \u0926\u093f\u092f\u093e \u0939\u0948<br \/>\n\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220BAC =\u00a0\u2220BCA &#8230;&#8230; (2)\u00a0[\u092c\u0930\u093e\u092c\u0930 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u0915\u094b\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902]<br \/>\n\u0905\u092c \u091a\u0942\u0901\u0915\u093f\u00a0\u2220BAC = 30\u00b0 \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f\u00a0\u2220BCA = 30\u00b0\u00a0 \u0938\u092e\u0940\u0966 (2) \u0938\u0947<br \/>\n\u092f\u093e \u2220ECB = 30\u00b0<br \/>\n\u091a\u0942\u0901\u0915\u093f\u00a0 \u2220BCD = 80\u00b0 \u0939\u0948 |<br \/>\n\u092f\u093e \u2220ECB +\u00a0\u2220ECD = 80\u00b0<br \/>\n\u092f\u093e 30\u00b0 +\u00a0\u2220ECD = 80\u00b0<br \/>\n\u092f\u093e \u2220ECD = 80\u00b0 &#8211; 30\u00b0= 50\u00b0<br \/>\n\u0905\u0924:\u00a0\u2220ECD = 50\u00b0 \u0914\u0930 \u2220BCD = 80\u00b0 \u0939\u0948 |<\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q7.\u00a0<\/strong><strong>\u092f\u0926\u093f \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 \u0909\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937\u094b\u0902 \u0938\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0935\u094d\u092f\u093e\u0938 \u0939\u094b\u0902<\/strong><strong>,\u00a0<\/strong><strong>\u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0935\u0939 \u090f\u0915 \u0906\u092f\u0924 \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1831\/43178919075_10906ff03f_o.jpg?resize=188%2C178&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 7\" width=\"188\" height=\"178\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948<br \/>\n\u091c\u093f\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0924\u0925\u093e BD \u092c\u093f\u0902\u0926\u0941 O \u092a\u0930<br \/>\n\u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :\u00a0<\/strong>ABCD \u090f\u0915 \u0906\u092f\u0924 \u0939\u0948 \u0964<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u0394AOB \u0924\u0925\u093e\u00a0\u0394COD \u092e\u0947\u0902<br \/>\nOA = OC (\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u093f \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u092f\u0947\u0902)<br \/>\nOB = OD (\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u093f \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u092f\u0947\u0902)<br \/>\n\u2220AOB =\u00a0\u2220COD (\u0936\u093f\u0930\u094d\u0937\u093e\u092d\u093f\u092e\u0941\u0916 \u0915\u094b\u0923)<br \/>\nSAS \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u0947<br \/>\n\u0394AOB\u00a0<strong>\u2245<\/strong>\u00a0\u0394COD<br \/>\n\u0905\u0924: AB = CD\u00a0 &#8230;.(1)\u00a0 (By CPCT)<br \/>\n\u0914\u0930 \u2220BAO =\u00a0\u2220DCO \u090f\u0915\u093e\u0902\u0924\u0930 \u0915\u094b\u0923<br \/>\n\u0905\u0924: AB \u0965 CD &#8230;(2)<br \/>\n\u0938\u092e\u0940\u0966 (1) \u0924\u0925\u093e (2) \u0938\u0947<br \/>\nABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0964<br \/>\n\u0905\u092c BD \u0935\u093f\u0915\u0930\u094d\u0923 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u092c\u094d\u092f\u093e\u0938 \u0939\u0948 (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\n\u0907\u0938\u0932\u093f\u090f\u00a0\u2220A = 90\u00b0 \u0924\u0925\u093e\u00a0\u2220C = 90\u00b0 \u0939\u0948 \u0964\u00a0[\u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 \u092e\u0947\u0902 \u092c\u0928\u093e \u0915\u094b\u0923 90\u00b0\u00a0\u0939\u094b\u0924\u093e \u0939\u0948]<br \/>\n\u0905\u0924: ABCD \u090f\u0915 \u0906\u092f\u093e\u0924 \u0939\u0948 \u0964<br \/>\n(\u0935\u0939 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u091c\u093f\u0938\u0915\u093e \u090f\u0915 \u0915\u094b\u0923 \u0938\u092e\u0915\u094b\u0923 \u0939\u094b \u0935\u0939 \u0906\u092f\u0924 \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948)<\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q8.\u00a0<\/strong><strong>\u092f\u0926\u093f \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0915\u0940 \u0905\u0938\u092e\u093e\u0902\u0924\u0930 \u092d\u0941\u091c\u093e\u090f\u0901 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0902<\/strong><strong>,\u00a0<\/strong><strong>\u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0935\u0939 \u091a\u0915\u094d\u0930\u0940\u092f \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1814\/43178919135_3e95cffd90_o.jpg?resize=213%2C203&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 8\" width=\"213\" height=\"203\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902<br \/>\nAB || CD \u0939\u0948 \u0914\u0930 AD = BC \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nABCD \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u0394ACD \u0924\u0925\u093e\u00a0\u0394BDC \u092e\u0947\u0902<br \/>\nAD = BC (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\nDC = DC (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\n\u2220DAC =\u00a0\u2220CBD (\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0916\u0902\u0921 \u092e\u0947\u0902 \u092c\u0928\u0947 \u0915\u094b\u0923)<br \/>\nSAS \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u0947<br \/>\n\u0394ACD\u00a0<strong>\u2245<\/strong>\u00a0\u0394BDC<br \/>\n\u0905\u0924:\u00a0\u00a0\u00a0\u00a0\u00a0\u2220D =\u00a0\u2220C &#8230;.. (1)\u00a0 By CPCT<br \/>\n\u0905\u092c \u091a\u0942\u0901\u0915\u093f AB || CD \u0926\u093f\u092f\u093e \u0939\u0948<br \/>\n\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220A +\u00a0\u2220D = 180\u00b0 (\u0905\u0924: \u0906\u0938\u0928\u094d\u0928 \u0915\u094b\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917)<br \/>\n\u092f\u093e\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2220A +\u00a0\u2220C = 180\u00b0\u00a0 \u0938\u092e\u0940\u0966 (1)\u0938\u0947<br \/>\n\u0905\u0924: ABCD \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948|<br \/>\nProved.<\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q9. \u00a0\u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u0926\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 B \u0914\u0930 C \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0964 B \u0938\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0926\u094b \u0930\u0947\u0916\u093e\u0916\u0902\u0921 ABD \u0914\u0930 PBQ \u0935\u0943\u0924\u094b\u0902 \u0915\u094b A, D \u0914\u0930 P, Q \u092a\u0930 \u0915\u094d\u0930\u092e\u0936: \u092a\u094d\u0930\u0924\u093f\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0916\u0940\u0902\u091a\u0947 \u0917\u090f \u0939\u0948\u0902 \u0964 \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f\u00a0<\/strong>\u2220<strong>ACP =\u00a0<\/strong>\u2220<strong>QCD \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 : \u00a0\u00a0<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1833\/43178919215_38a3862f2e_o.jpg?resize=249%2C163&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 9\" width=\"249\" height=\"163\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0\u2220ACP =\u00a0\u2220QCD<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><br \/>\n\u091a\u093e\u092a AP \u092c\u0928\u0947 \u0915\u094b\u0923\u00a0\u2220ABP \u0924\u0925\u093e\u00a0\u2220ACP \u0939\u0948\u0902 |<br \/>\n\u0905\u0924:\u00a0\u00a0\u2220ABP =\u00a0\u2220ACP\u00a0 &#8230;&#8230;&#8230;.. (1)[\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0916\u0902\u0921 \u092e\u0947\u0902 \u092c\u0928\u0947 \u0915\u094b\u0923]<br \/>\n\u0905\u092c,\u00a0\u00a0\u2220ABP =\u00a0\u2220QBD\u00a0 &#8230;&#8230;&#8230;.. (2)[\u0936\u093f\u0930\u094d\u0937\u093e\u092d\u093f\u092e\u0941\u0916 \u0915\u094b\u0923]<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0924\u0925\u093e (2) \u0938\u0947<br \/>\n\u2220ACP =\u00a0\u2220QBD &#8230;&#8230;&#8230;.. (3)<br \/>\n\u092a\u0941\u0928:\u00a0\u00a0\u00a0\u2220QCD =\u00a0\u2220QBD &#8230;&#8230;&#8230;. (4)\u00a0[\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0916\u0902\u0921 \u092e\u0947\u0902 \u092c\u0928\u0947 \u0915\u094b\u0923]<br \/>\n\u0905\u0924: \u0938\u092e\u0940\u0915\u0930\u0923 (3) \u0924\u0925\u093e (4) \u0938\u0947<br \/>\n\u2220ACP =\u00a0\u2220QCD<br \/>\nProved.<\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q10.\u00a0<\/strong><strong>\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0940 \u0926\u094b \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u094b \u0935\u094d\u092f\u093e\u0938 \u092e\u093e\u0928\u0915\u0930 \u0935\u0943\u0924\u094d\u0924 \u0916\u0940\u0902\u091a\u0947 \u091c\u093e\u090f\u0901<\/strong><strong>,\u00a0<\/strong><strong>\u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f<\/strong>\u00a0<strong>\u0907\u0928 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0928\u094d\u0926\u0941 \u0924\u0940\u0938\u0930\u0940 \u092d\u0941\u091c\u093e \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0939\u0932 : \u00a0<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1775\/44085406371_5442e5aa28_o.jpg?resize=254%2C184&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 10\" width=\"254\" height=\"184\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABC \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902<br \/>\nAB \u0924\u0925\u093e AC \u0915\u094b \u0935\u094d\u092f\u093e\u0938 \u092e\u093e\u0928\u0915\u0930 O \u0924\u0925\u093e O&#8217; \u0935\u093e\u0932\u0947<br \/>\n\u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u0916\u093f\u0902\u091a\u093e \u0939\u0948 | \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u091c\u0940\u0935\u093e AD \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0\u092c\u093f\u0902\u0926\u0941 D BC \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0AB O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u0939\u0948 |<br \/>\n\u0905\u0924:\u00a0\u2220ADB = 90\u00b0 &#8230;&#8230;&#8230;. (1) (\u0905\u0930\u094d\u0927\u0935\u0943\u0924 \u092e\u0947\u0902 \u092c\u0928\u093e \u0915\u094b\u0923 \u0938\u092e\u0915\u094b\u0923 \u0939\u094b\u0924\u093e \u0939\u0948)<br \/>\n\u0905\u092c, AC O&#8217; \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u0939\u0948 \u0964<br \/>\n\u0905\u0924:\u00a0\u2220ADC = 90\u00b0 &#8230;&#8230;&#8230;. (2) (\u0905\u0930\u094d\u0927\u0935\u0943\u0924 \u092e\u0947\u0902 \u092c\u0928\u093e \u0915\u094b\u0923 \u0938\u092e\u0915\u094b\u0923 \u0939\u094b\u0924\u093e \u0939\u0948)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0924\u0925\u093e (2) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\n\u2220ADB +\u00a0\u2220ADC = 90\u00b0 + 90\u00b0<br \/>\n\u092f\u093e\u00a0\u00a0\u00a0\u00a0\u2220ADB +\u00a0\u2220ADC = 180\u00b0\u00a0 [\u0930\u0948\u0916\u093f\u0915 \u092f\u0941\u0917\u094d\u092e]<br \/>\n\u0905\u0924: BDC \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u0939\u0948 \u091c\u093f\u0938\u092a\u0930 \u092c\u093f\u0902\u0926\u0941 D \u0938\u094d\u0925\u093f\u0924 \u0939\u0948|<br \/>\nProved.<\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q11. \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0915\u0930\u094d\u0923 AC \u0935\u093e\u0932\u0947 \u0926\u094b \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0914\u0930 ADC \u0939\u0948\u0902\u0964 \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u2220CAD = \u2220CBD \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1849\/30597933658_654e941704_o.png?resize=167%2C173&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 11\" width=\"167\" height=\"173\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948:<\/strong> \u2206ABC \u0914\u0930 \u2206ADC \u0926\u094b \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u093e \u0915\u0930\u094d\u0923 AC \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0939\u0948\u0964 \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 BD \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0939\u0948\u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948:<\/strong> \u2220CAD = \u2220CBD<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong> AC \u0915\u094b \u0935\u094d\u092f\u093e\u0938 \u092e\u093e\u0928\u0915\u0930 \u0935\u0943\u0924\u094d\u0924 \u0916\u0940\u0902\u091a\u093e\u0964<br \/>\n\u0909\u092a\u092a\u0924\u094d\u0924\u093f: \u091a\u0942\u0901\u0915\u093f \u2206ABC \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0930\u094d\u0923 AC \u0939\u0948\u0964<br \/>\n\u2220B = 90\u00b0<br \/>\n\u092a\u0941\u0928\u0903 \u2206ADC \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0930\u094d\u0923 AC \u0939\u0948\u0964<br \/>\n\u2220D = 90\u00b0<br \/>\n\u0924\u092c \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u092e\u0947\u0902, \u2220B + \u2220D = 180\u00b0 (\u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u0915\u094b\u0923 \u0938\u092e\u094d\u092a\u0942\u0930\u0915 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902)<br \/>\nABCD \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964<br \/>\n\u092c\u093f\u0928\u094d\u0926\u0941 A, B,C \u0914\u0930 D \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0939\u0948\u0902\u0964 \u091a\u0942\u0901\u0915\u093f \u2220CAD \u0914\u0930 \u2220CBD \u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924\u0916\u0923\u094d\u0921 \u0915\u0947 \u0915\u094b\u0923 \u0939\u0948\u0902\u0964<br \/>\n\u0905\u0924\u0903 \u2220CAD = \u2220CBD<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e\u094d.<\/p>\n<p><strong>Ex 10.5 Class 9 \u0917\u0923\u093f\u0924\u00a0Q12. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u091a\u0915\u094d\u0930\u0940\u092f \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u090f\u0915 \u0906\u092f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1868\/30597933758_65e2252fff_o.png?resize=202%2C187&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.5 12\" width=\"202\" height=\"187\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong> \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong> \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u090f\u0915 \u0906\u092f\u0924 \u0939\u0948\u0964<br \/>\n<strong>\u0909\u092a\u092a\u0924\u094d\u0924\u093f :<\/strong> ABCD \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948,<br \/>\n\u2220A + \u2220C = 180\u00b0 &#8230;&#8230;(1)<br \/>\n\u092a\u0930\u0928\u094d\u0924\u0941 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u0915\u094b\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n\u2220A = \u2220C &#8230;&#8230;(2)<br \/>\n\u0905\u0924\u0903 \u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0935 (2) \u0938\u0947,<br \/>\n\u2220A = \u2220C = 90\u00b0<br \/>\n\u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930, \u2220B = \u2220D = 90\u00b0<br \/>\nABCD \u0915\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0928\u094d\u0924:\u0915\u094b\u0923 90\u00b0 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964<br \/>\n\u0905\u0924: ABCD \u090f\u0915 \u0906\u092f\u0924 \u0939\u0948\u0964 .<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e\u094d<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.6 (\u0910\u091a\u094d\u091b\u093f\u0915)<\/strong><\/span><\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924 Q1. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0926\u094b \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u0915\u0940 \u0930\u0947\u0916\u093e \u0926\u094b\u0928\u094b\u0902 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u092a\u0930 \u0938\u092e\u093e\u0928 \u0915\u094b\u0923 \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1859\/30597933928_ef46c5fd0a_o.png?resize=249%2C167&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 1\" width=\"249\" height=\"167\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948: O<sub>1<\/sub> \u0924\u0925\u093e O<sub>2<\/sub> \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u0935\u093e\u0932\u0947 \u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u0926\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 A \u0924\u0925\u093e B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0930\u0947\u0916\u093e O<sub>1<\/sub>O<sub>2<\/sub> \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0928\u094d\u0926\u0941 A \u092a\u0930 \u2220O<sub>1<\/sub>AO<sub>2<\/sub> \u0924\u0925\u093e B \u092a\u0930 \u2220O<sub>1<\/sub>BO<sub>2<\/sub> \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964<br \/>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948: \u2220O<sub>1<\/sub>AO<sub>2<\/sub> \u0924\u0925\u093e \u2220O<sub>1<\/sub>BO<sub>2<\/sub> \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964<br \/>\n\u0909\u092a\u092a\u0924\u094d\u0924\u093f: \u2206O<sub>1<\/sub>AO<sub>2<\/sub> \u0924\u0925\u093e \u2206O<sub>1<\/sub>BO<sub>2<\/sub> \u092e\u0947\u0902,<br \/>\nO<sub>1<\/sub>A = O<sub>1<\/sub>B (\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901)<br \/>\nO<sub>2<\/sub>A = O<sub>2<\/sub>B (\u090f\u0915 \u0939\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901)<br \/>\nO<sub>1<\/sub>O<sub>2<\/sub> = O<sub>1<\/sub>O<sub>2<\/sub> (\u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920)<br \/>\n\u2206O<sub>1<\/sub>AO<sub>2<\/sub> = \u2206O<sub>1<\/sub>BO<sub>2<\/sub> (\u092d\u0941\u091c\u093e-\u092d\u0941\u091c\u093e-\u092d\u0941\u091c\u093e \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0938\u0947)<br \/>\n\u2220O<sub>1<\/sub>AO<sub>2<\/sub> = \u2220O<sub>1<\/sub>BO<sub>2<\/sub> (\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0938\u0902\u0917\u0924 \u0915\u094b\u0923)<\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q2. \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 5 \u0938\u0947\u092e\u0940 \u0924\u0925\u093e 11 \u0938\u0947\u092e\u0940 \u0932\u092e\u094d\u092c\u0940 \u0926\u094b \u091c\u0940\u0935\u093e\u090f\u0901 AB \u0914\u0930 CD \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0939\u0948\u0902 \u0914\u0930 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u0940 \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f AB \u0914\u0930 CD \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 6 \u0938\u0947\u092e\u0940 \u0939\u094b \u0924\u094b \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1842\/30597934818_224f335d41_o.png?resize=234%2C206&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 2\" width=\"234\" height=\"206\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : O \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u093e \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 AB \u0924\u0925\u093e CD \u0926\u094b \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091c\u0940\u0935\u093e\u090f\u0901 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 O \u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924 \u0913\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 5 \u0938\u0947\u092e\u0940 \u0935 11 \u0938\u0947\u092e\u0940 \u0939\u0948\u0902\u0964 \u091c\u0940\u0935\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 (\u0932\u093e\u092e\u094d\u092c\u093f\u0915) \u0926\u0942\u0930\u0940 6 \u0938\u0947\u092e\u0940 \u0939\u0948 \u0905\u0930\u094d\u0925\u093e\u0924\u094d MON = 6 \u0938\u0947\u092e\u0940 \u091c\u092c\u0915\u093f MON \u22a5 AB \u0935 MON \u22a5 CD<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1863\/42658655030_9c39ea0ae6_o.png?resize=638%2C418&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 2.1\" width=\"638\" height=\"418\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1855\/30597934288_7decc38aab_o.png?resize=641%2C661&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 2.2\" width=\"641\" height=\"661\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1856\/43558038525_5b03027dda_o.png?resize=336%2C150&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 2.3\" width=\"336\" height=\"150\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q3. \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091c\u0940\u0935\u093e\u0913\u0902 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901 6 \u0938\u0947\u092e\u0940 \u0914\u0930 8 \u0938\u0947\u092e\u0940 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u091b\u094b\u091f\u0940 \u091c\u0940\u0935\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0938\u0947 4 \u0938\u0947\u092e\u0940 \u0915\u0940 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u094b \u0924\u094b \u0926\u0942\u0938\u0930\u0940 \u091c\u0940\u0935\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0938\u0947 \u0915\u093f\u0924\u0928\u0940 \u0926\u0942\u0930 \u0939\u0948?<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1859\/30597935238_57f47398a1_o.png?resize=184%2C180&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 3\" width=\"184\" height=\"180\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : O \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091c\u0940\u0935\u093e\u0913\u0902 AB \u0935 CD \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 6 \u0938\u0947\u092e\u0940 \u0935 8 \u0938\u0947\u092e\u0940 \u0939\u0948\u0902\u0964 \u091b\u094b\u091f\u0940 \u091c\u0940\u0935\u093e AB \u0915\u0940 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 O\u0938\u0947 \u0926\u0942\u0930\u0940 OM = 4 \u0938\u0947\u092e\u0940 \u0939\u0948\u0964<br \/>\n\u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u093e \u0939\u0948 : \u0926\u0942\u0938\u0930\u0940 \u091c\u0940\u0935\u093e CD \u0915\u0940 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 O \u0938\u0947 \u0926\u0942\u0930\u0940 ON<br \/>\n\u0917\u0923\u0928\u093e : \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 OA \u0924\u0925 OD \u0916\u0940\u0902\u091a\u0940\u0902\u0964<br \/>\n\u091c\u0940\u0935\u093e AB \u0915\u0940 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 O \u0938\u0947 (\u0932\u093e\u092e\u094d\u092c\u093f\u0915) \u0926\u0942\u0930\u0940 OM = 4 \u0938\u0947\u092e\u0940<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1887\/30597935098_5b89747516_o.png?resize=443%2C471&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 3.1\" width=\"443\" height=\"471\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q4. \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u094b\u0923 ABC \u0915\u093e \u0936\u0940\u0930\u094d\u0937 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092c\u093e\u0939\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 \u0914\u0930 \u0915\u094b\u0923 \u0915\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \u0935\u0943\u0924\u094d\u0924 \u0938\u0947 \u092c\u0930\u093e\u092c\u0930 \u091c\u0940\u0935\u093e\u090f\u0901AD \u0914\u0930 CE \u0915\u093e\u091f\u0924\u0940 \u0939\u0948\u0902\u0964 \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u2220ABC \u091c\u0940\u0935\u093e\u0913\u0902 AC \u0924\u0925\u093e DE \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930\u00a0<\/strong><strong>\u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u094b\u0923\u094b\u0902 \u0915\u0947 \u0905\u0928\u094d\u0924\u0930 \u0915\u094b \u0906\u0927\u093e \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1872\/30597935478_8c37982fa6_o.png?resize=256%2C193&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 4\" width=\"256\" height=\"193\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : \u2220ABC \u092c\u0928\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 AB \u0935 BC \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0938\u0947 \u091c\u0940\u0935\u093e\u090f\u0901 AD \u0914\u0930 CE \u0915\u093e\u091f\u0924\u0940 \u0939\u0948\u0902\u0964 \u091c\u0940\u0935\u093e AC \u0926\u094d\u0935\u093e\u0930\u093e \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 O \u092a\u0930 \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 \u2220AOC \u0939\u0948 \u0914\u0930 DE \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930 \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 \u2220DOE \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1892\/30597935388_4082c38768_o.png?resize=681%2C592&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 4.1\" width=\"681\" height=\"592\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q5. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0915\u093f\u0938\u0940 \u092d\u0940 \u092d\u0941\u091c\u093e \u0915\u094b \u0935\u094d\u092f\u093e\u0938 \u092e\u093e\u0928\u0915\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0935\u0943\u0924\u094d\u0924, \u0909\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923\u094b \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0928\u094d\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1860\/30597935648_f08b4d779c_o.png?resize=214%2C166&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 5\" width=\"214\" height=\"166\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n<strong>\u0926\u093f\u0902\u092f\u093e \u0939\u0948:<\/strong> ABCD \u090f\u0915 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 AC \u0914\u0930 BD \u0926\u094b \u0935\u093f\u0915\u0930\u094d\u0923 \u0939\u0948\u0902 \u091c\u094b \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u0938\u092e\u0915\u094b\u0923 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948:<\/strong> BC \u0915\u094b \u0935\u094d\u092f\u093e\u0938 \u092e\u093e\u0928\u0915\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0935\u0943\u0924\u094d\u0924 \u0935\u093f\u0915\u0930\u094d\u0923\u094b \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0928\u094d\u0926\u0941 P \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br \/>\n<strong>\u0909\u092a\u092a\u0924\u094d\u0924\u093f :<\/strong> ABCD \u090f\u0915 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0914\u0930 \u0909\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0924\u0925\u093e BD \u092a\u0930\u0938\u094d\u092a\u0930 \u092c\u093f\u0928\u094d\u0926\u0941 P \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n\u2220CPB = 90\u00b0<br \/>\n\u2206CPB \u090f\u0915 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0930\u094d\u0923 BC \u0939\u0948\u0964 \u0924\u092c \u0938\u092e\u0915\u094b\u0923 \u2206CPB \u0915\u094b \u2220CPB \u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u094b\u0917\u093e \u091c\u093f\u0938\u0915\u093e \u0935\u094d\u092f\u093e\u0938 BC \u0939\u0948\u0964<br \/>\n\u0905\u0924\u0903 BC \u0915\u094b \u0935\u094d\u092f\u093e\u0938 \u092e\u093e\u0928\u0915\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0935\u0943\u0924\u094d\u0924 \u092c\u093f\u0928\u094d\u0926\u0941 P (\u0935\u093f\u0915\u0930\u094d\u092e\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0928\u094d\u0926\u0941) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u090f\u0917\u093e\u0964<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e\u094d.<\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q6. ABCD \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964 A, B \u0914\u0930 C \u0938\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u0935\u0943\u0924\u094d\u0924 CD (\u092f\u0926\u093f \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u094b \u0924\u094b \u092c\u0922\u093e\u0915\u0930) \u0915\u094b E \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f AE = AD \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1859\/30597935898_6021cffbce_o.png?resize=185%2C169&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 6\" width=\"185\" height=\"169\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948: ABCD \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937\u094b\u0902 A, B \u0914\u0930 C \u0938\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u091c\u094b \u092d\u0941\u091c\u093e CD \u0915\u094b E \u092a\u0930 \u0915\u093e\u091f\u0924\u093e \u0939\u0948\u0964<br \/>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948: AE = AD<br \/>\n\u0909\u092a\u092a\u0924\u094d\u0924\u093f : \u091a\u0942\u0901\u0915\u093f ABCD \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948,<br \/>\n\u2220B = \u2220D (\u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u0915\u094b\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964) &#8230;&#8230;(1)<br \/>\n\u091a\u0942\u0902\u0915\u093f A, B, C \u0938\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u0935\u0943\u0924\u094d\u0924 CD \u0915\u094b E \u092a\u0930 \u0915\u093e\u091f\u0924\u093e \u0939\u0948,<br \/>\nABCE \u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964<br \/>\n\u092c\u0939\u093f\u0937\u094d\u0915\u094b\u0923 AED = \u2220B &#8230;&#8230;(2)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0935 (2) \u0938\u0947,<br \/>\n\u2220AED = \u2220D (= \u2220ADE)<br \/>\n\u2206ADE \u092e\u0947\u0902,<br \/>\n\u2220AED = \u2220ADE<br \/>\n\u2206ADE \u0938\u092e\u0926\u094d\u0935\u093f\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902<br \/>\nAD = AE<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e\u094d.<\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q7. AC \u0914\u0930 BD \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u091c\u0940\u0935\u093e\u090f\u0901 \u0939\u0948\u0902 \u091c\u094b \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964 \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f-<\/strong><br \/>\n<strong>(i) AC \u0914\u0930 BD \u0935\u094d\u092f\u093e\u0938 \u0939\u0948\u0902\u0964<\/strong><br \/>\n<strong>(ii) ABCD \u090f\u0915 \u0906\u092f\u0924 \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1867\/30597936028_6a8d72c382_o.png?resize=206%2C176&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 7\" width=\"206\" height=\"176\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948:<\/strong> AC \u0924\u0925\u093e BD \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u091c\u0940\u0935\u093e\u090f\u0901 \u0939\u0948\u0902 \u091c\u094b \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b , \u092c\u093f\u0928\u094d\u0926\u0941 O \u092a\u0930 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\n(i) AC \u0924\u0925\u093e, BD \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0935\u094d\u092f\u093e\u0938 \u0939\u0948\u0902\u0964<br \/>\n(ii) ABCD \u090f\u0915 \u0906\u092f\u0924 \u0939\u0948\u0964<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong> AB, BC, CD \u0924\u0925\u093e DA \u0915\u094b \u092e\u093f\u0932\u093e\u092f\u093e\u0964<br \/>\n<strong>\u0909\u092a\u092a\u0924\u094d\u0924\u093f :<\/strong><br \/>\n(i) \u091c\u0940\u0935\u093e AC \u0914\u0930 BD \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u092c\u093f\u0928\u094d\u0926\u0941 O \u092a\u0930 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964<br \/>\nOA = OB = OC = OD<br \/>\n\u0924\u092c OA, OB, OC \u0914\u0930 OD \u090f\u0915 \u0910\u0938\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 O \u0939\u0948\u0964<br \/>\n\u0924\u092c, AC = OA + OC = \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e + \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e = 2 x \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e<br \/>\nAC \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u0939\u0948\u0964<br \/>\nBD \u092d\u0940 O \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0924\u092c BD \u092d\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u0939\u0948\u0964<br \/>\n(ii) \u091a\u0942\u0902\u0915\u093f AC \u0935\u094d\u092f\u093e\u0938 \u0939\u0948, \u0924\u092c \u2220B = 90\u00b0 \u0924\u0925\u093e \u2220D = 90\u00b0<br \/>\n\u0914\u0930 BD \u0935\u094d\u092f\u093e\u0938 \u0939\u0948, \u0924\u092c \u2220A = 90\u00b0 \u0924\u0925\u093e \u2220C = 90\u00b0<br \/>\n\u0924\u092c, ABCD \u090f\u0915 \u0910\u0938\u093e \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0928\u094d\u0924: \u0915\u094b\u0923 90\u00b0 \u0939\u0948 \u0924\u0925\u093e \u0935\u093f\u0915\u0930\u094d\u0923 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u0905\u0930\u094d\u0927\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n\u0905\u0924: ABCD \u090f\u0915 \u0906\u092f\u0924 \u0939\u0948\u0964<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e\u094d<\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q8. \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0947 \u0915\u094b\u0923\u094b\u0902 A, B \u0914\u0930 C \u0915\u0947 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0909\u0938\u0915\u0947 \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u0915\u094b \u0915\u094d\u0930\u092e\u0936\u0903 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 D, E \u0914\u0930 F \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/strong><br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u2206DEF \u0915\u0947 \u0915\u094b\u0923 \u0915\u094d\u0930\u092e\u0936\u0903 90\u00b0 &#8211; \\(\\frac { A }{ 2 }\\) , 90\u00b0 &#8211; \\(\\frac { B }{ 2 }\\) \u0914\u0930 90\u00b0 &#8211; \\(\\frac { C }{ 2 }\\) \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : \u2206ABC \u0915\u0947 \u0915\u094b\u0923\u094b\u0902 A, B \u0914\u0930 C \u0915\u0947 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 AD, BE \u0935 CF \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u0915\u094b \u0915\u094d\u0930\u092e\u0936\u0903 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 D, E \u0935 F \u092a\u0930 \u0915\u093e\u091f\u0924\u0947 \u0939\u0948\u0902\u0964 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 D, E \u0935 F \u0938\u0947 \u0924\u094d\u0930\u093f\u092d\u0941\u091c DEF \u092c\u0928\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1867\/30597936198_e7027799af_o.png?resize=681%2C582&#038;ssl=1\" alt=\"NCERT Maths Class 9 Hindi Medium Circles Solutions 10.6 8\" width=\"681\" height=\"582\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q9. \u0926\u094b \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924 \u092a\u0930\u0938\u094d\u092a\u0930 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 A \u0914\u0930 B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 A \u0938\u0947 \u0939\u094b\u0915\u0930 \u0915\u094b\u0908 \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 PAQ \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f P \u0914\u0930 \u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902\u0964 \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f BP = BQ \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1874\/43558040295_35146cff7f_o.png?resize=225%2C140&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 9\" width=\"225\" height=\"140\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong> \u0926\u094b \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 O<sub>1<\/sub> \u0935 O<sub>2<\/sub> \u0939\u0948\u0902 \u0914\u0930 \u0935\u0947 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 A \u0914\u0930 B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 A \u0938\u0947 \u090f\u0915\u0902 \u0930\u0947\u0916\u093e PAQ \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0939\u0948 \u091c\u094b \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0938\u0947 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 P \u0914\u0930 Q \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948:<\/strong> \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 BP = \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 BQ<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong> \u091c\u0940\u0935\u093e AB \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 O<sub>1<\/sub>A, O<sub>1<\/sub>B, O<sub>2<\/sub>A \u0924\u0925\u093e O<sub>2<\/sub>B \u0916\u0940\u0902\u091a\u0940\u0902\u0964<br \/>\n<strong>\u0909\u092a\u092a\u0924\u094d\u0924\u093f :<\/strong> \u091a\u0942\u0901\u0915\u093f \u091c\u0940\u0935\u093e AB \u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u092e\u0947\u0902 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0939\u0948 \u0914\u0930 \u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924 \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0939\u0948\u0902\u0964<br \/>\nO<sub>1<\/sub> \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u091a\u093e\u092a AB = O<sub>2<\/sub> \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u091a\u093e\u092a AB<br \/>\n\u2220AO<sub>1<\/sub>B = \u2220AO<sub>2<\/sub>B (\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0938\u092e\u093e\u0928 \u091a\u093e\u092a \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930 \u0938\u092e\u093e\u0928 \u0915\u094b\u0923 \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902)<br \/>\n\u2220APB = \u2220AQB (\u092a\u0930\u093f\u0927\u093f \u092a\u0930 \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u094b\u0923)<br \/>\n\u0905\u092c \u2206QBP \u092e\u0947\u0902,<br \/>\n\u2220APB = \u2220AQB (\u090a\u092a\u0930 \u0938\u093f\u0926\u094d\u0927 \u0939\u0941\u0906 \u0939\u0948)<br \/>\n\u2220BPQ = \u2220BQP<br \/>\n\u0905\u0924\u0903 BP = BQ (\u0938\u092e\u093e\u0928 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0940 \u0938\u092e\u094d\u092e\u0941\u0916 \u092d\u0941\u091c\u093e\u090f\u0901)<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e\u094d.<\/p>\n<p><strong>Ex 10.6 Class 9 \u0917\u0923\u093f\u0924\u00a0Q10. \u0915\u093f\u0938\u0940 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u092e\u0947\u0902, \u092f\u0926\u093f \u2220A \u0915\u094b \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0924\u0925\u093e BC \u0915\u093e \u0932\u092e\u094d\u092c \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0947\u0902, \u0924\u094b \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0935\u0947 \u2206ABC \u0915\u0947 \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0947\u0902\u0917\u0947\u0964<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1882\/30597936428_f904d45a97_o.png?resize=173%2C241&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 10 (Hindi Medium) 10.6 10\" width=\"173\" height=\"241\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong> \u2206ABC \u0915\u0947 \u0906\u0927\u093e\u0930 BC \u0915\u093e \u0932\u092e\u094d\u092c \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 XY \u0939\u0948\u0964<br \/>\nABDC, \u2206ABC \u0915\u093e \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u0939\u0948\u0964 \u0932\u092e\u094d\u092c \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 XY \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u0915\u094b D \u092a\u0930 \u0915\u093e\u091f\u0924\u093e \u0939\u0948\u0964 XY, BC \u0915\u094b M \u092a\u0930 \u0915\u093e\u091f\u0924\u093e \u0939\u0948\u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong> \u2220A \u0915\u093e \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u092d\u0940 \u092c\u093f\u0928\u094d\u0926\u0941 D \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u090f\u0917\u093e\u0964 \u0930\u091a\u0928\u093e : DB \u0924\u0925\u093e DC \u0915\u094b \u092e\u093f\u0932\u093e\u092f\u093e\u0964<br \/>\n<strong>\u0909\u092a\u092a\u0924\u094d\u0924\u093f :<\/strong> \u091a\u0942\u0901\u0915\u093f XY, BC \u0915\u094b \u0932\u092e\u094d\u092c \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0939\u0948 \u0914\u0930 \u092f\u0939 \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924\u0947 \u0915\u094b \u092c\u093f\u0928\u094d\u0926\u0941 D \u092a\u0930 \u0915\u093e\u091f\u0924\u093e \u0939\u0948\u0964<br \/>\n\u092c\u093f\u0928\u094d\u0926\u0941 D, \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u092d\u0940 \u0939\u0948 \u0914\u0930 XY \u092a\u0930 \u092d\u0940\u0964<br \/>\n\u2206BDM \u0914\u0930 \u2206CDM \u092e\u0947\u0902,<br \/>\nBM = CM (XY, BC \u0915\u093e \u0932\u092e\u094d\u092c\u0947 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0939\u0948)<br \/>\nMD = MD (\u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920)<br \/>\n\u2220BMD = \u2220CMD (XY \u22a5 BC)<br \/>\n\u2206BDM = \u2206CDM (\u092d\u0941\u091c\u093e-\u0915\u094b\u0923-\u092d\u0941\u091c\u093e \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0938\u0947)<br \/>\nBD = CD (\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0917\u0924 \u092d\u0941\u091c\u093e\u090f\u0901)<br \/>\n\u092c\u093f\u0928\u094d\u0926\u0941 D, \u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u092d\u0940 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964<br \/>\n\u092a\u0930\u093f\u0935\u0943\u0924\u094d\u0924 \u092e\u0947\u0902,<br \/>\n\u091c\u0940\u0935\u093e BD = \u091c\u0940\u0935\u093e CD<br \/>\n\u091a\u093e\u092a BD = \u091a\u093e\u092a CD (\u0938\u092e\u093e\u0928 \u091a\u093e\u092a \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0938\u092e\u093e\u0928 \u091c\u0940\u0935\u093e\u090f\u0901 \u0915\u093e\u091f\u0924\u0947 \u0939\u0948\u0902)<br \/>\n\u091a\u093e\u092a BD \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u093f\u0928\u094d\u0926\u0941 A \u092a\u0930 \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 = \u091a\u093e\u092a CD \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u093f\u0928\u094d\u0926\u0941 A \u092a\u0930 \u0905\u0928\u094d\u0924\u0930\u093f\u0924 \u0915\u094b\u0923<br \/>\n\u2220BAD = \u2220CAD<br \/>\nAD, \u2220A \u0915\u093e \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0939\u0948\u0964<br \/>\n\u0905\u0924: \u2220A \u0915\u093e \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 AD \u092d\u0940 \u092c\u093f\u0928\u094d\u0926\u0941 D \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e\u094d.<\/p>\n<p>Hope given NCERT Solutions for Class 9 Maths Chapter 10 are helpful to complete your homework.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 9 Maths Chapter 10 Circles (\u0935\u0943\u0924\u094d\u0924) (Hindi Medium) These Solutions are part of NCERT Solutions for Class 9 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 9 Maths Chapter 10 Circles. \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.1\u00a0 Ex 10.1 Class 9 \u0917\u0923\u093f\u0924 Q1. \u0916\u093e\u0932\u0940 \u0938\u094d\u0925\u093e\u0928 \u092d\u0930\u093f\u090f: (i)\u00a0\u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/\"> <span class=\"screen-reader-text\">NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium)<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":9,"featured_media":7727,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[27,26,28,24,25],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium) - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium) - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 9 Maths Chapter 10 Circles (\u0935\u0943\u0924\u094d\u0924) (Hindi Medium) These Solutions are part of NCERT Solutions for Class 9 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 9 Maths Chapter 10 Circles. \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.1\u00a0 Ex 10.1 Class 9 \u0917\u0923\u093f\u0924 Q1. \u0916\u093e\u0932\u0940 \u0938\u094d\u0925\u093e\u0928 \u092d\u0930\u093f\u090f: (i)\u00a0\u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 &hellip; NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium) Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/\" \/>\n<meta property=\"og:site_name\" content=\"NCERT Solutions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-07-23T00:44:15+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-07-23T12:08:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-10-Circles-Hindi-Medium.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1280\" \/>\n\t<meta property=\"og:image:height\" content=\"720\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:site\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\",\"name\":\"NCERT Solutions\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\",\"https:\/\/www.instagram.com\/ncertsolutionsguru\/\",\"https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/\",\"https:\/\/in.pinterest.com\/ncertsolutionsguru\/\",\"https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training\",\"https:\/\/twitter.com\/ncertsolguru\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"width\":460,\"height\":45,\"caption\":\"NCERT Solutions\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/ncertsolutions.guru\/#website\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"name\":\"NCERT Solutions\",\"description\":\"NCERT Solutions for Class 1 to 12\",\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/ncertsolutions.guru\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-10-Circles-Hindi-Medium.png?fit=1280%2C720&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-10-Circles-Hindi-Medium.png?fit=1280%2C720&ssl=1\",\"width\":1280,\"height\":720,\"caption\":\"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium)\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/#webpage\",\"url\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/\",\"name\":\"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium) - 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NCERT Solutions","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium) - NCERT Solutions","og_description":"NCERT Solutions for Class 9 Maths Chapter 10 Circles (\u0935\u0943\u0924\u094d\u0924) (Hindi Medium) These Solutions are part of NCERT Solutions for Class 9 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 9 Maths Chapter 10 Circles. \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.1\u00a0 Ex 10.1 Class 9 \u0917\u0923\u093f\u0924 Q1. \u0916\u093e\u0932\u0940 \u0938\u094d\u0925\u093e\u0928 \u092d\u0930\u093f\u090f: (i)\u00a0\u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 &hellip; NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium) Read More &raquo;","og_url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/","og_site_name":"NCERT Solutions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-07-23T00:44:15+00:00","article_modified_time":"2021-07-23T12:08:39+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-10-Circles-Hindi-Medium.png","path":"\/home\/412375.cloudwaysapps.com\/bmvvpkvjjm\/public_html\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-10-Circles-Hindi-Medium.png","size":"full","id":7727,"alt":"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium)","pixels":921600,"type":"image\/png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/ncertsolutions.guru\/#organization","name":"NCERT Solutions","url":"https:\/\/ncertsolutions.guru\/","sameAs":["https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","https:\/\/www.instagram.com\/ncertsolutionsguru\/","https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/","https:\/\/in.pinterest.com\/ncertsolutionsguru\/","https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training","https:\/\/twitter.com\/ncertsolguru"],"logo":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#logo","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","width":460,"height":45,"caption":"NCERT Solutions"},"image":{"@id":"https:\/\/ncertsolutions.guru\/#logo"}},{"@type":"WebSite","@id":"https:\/\/ncertsolutions.guru\/#website","url":"https:\/\/ncertsolutions.guru\/","name":"NCERT Solutions","description":"NCERT Solutions for Class 1 to 12","publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ncertsolutions.guru\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-10-Circles-Hindi-Medium.png?fit=1280%2C720&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-10-Circles-Hindi-Medium.png?fit=1280%2C720&ssl=1","width":1280,"height":720,"caption":"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium)"},{"@type":"WebPage","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/#webpage","url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-hindi\/","name":"NCERT Solutions for Class 9 Maths Chapter 10 Circles (Hindi Medium) - 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