{"id":2879,"date":"2021-07-23T10:11:02","date_gmt":"2021-07-23T04:41:02","guid":{"rendered":"http:\/\/ncertsolutions.guru\/?p=2879"},"modified":"2021-07-23T18:04:04","modified_gmt":"2021-07-23T12:34:04","slug":"ncert-solutions-for-class-9-maths-chapter-9-hindi","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-hindi\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium)"},"content":{"rendered":"<h2><span style=\"color: #00ccff;\">NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (\u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0914\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932) (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 9 Area of Parallelograms and Triangles.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 9.1<\/strong><\/span><\/p>\n<p><strong>Ex 9.1 Class 9 \u0917\u0923\u093f\u0924 Q1. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0906\u0915\u0943\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u0940 \u0906\u0915\u0943\u0924\u093f\u092f\u093e\u0901 \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902? \u0910\u0938\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0906\u0927\u093e\u0930 \u0914\u0930 \u0926\u094b\u0928\u094b\u0902 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u090f\u0901 \u0932\u093f\u0916\u093f\u090f\u0964<\/strong><br \/>\n(i)<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1780\/43365951914_60148887d8_o.jpg?resize=172%2C120&#038;ssl=1\" alt=\"NCERT Solutions For Class 9 Maths Hindi Medium 9.1 1\" width=\"172\" height=\"120\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :<\/strong>\u00a0\u092f\u0939 \u0906\u0915\u0943\u0924\u093f \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 CD \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 AB || CD \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n(ii)<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1838\/43178214075_a30dbbe9cc_o.jpg?resize=189%2C122&#038;ssl=1\" alt=\"Maths NCERT Solutions Class 9 Hindi Medium 9.1 1.1\" width=\"189\" height=\"122\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :<\/strong>\u00a0\u092f\u0939 \u0906\u0915\u0943\u0924\u093f\u00a0\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930\u00a0\u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947\u00a0\u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902|<br \/>\n(iii)<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1794\/43178214175_d730048d9f_o.jpg?resize=178%2C120&#038;ssl=1\" alt=\"Class 9 Maths NCERT Solutions Hindi Medium 9.1 1.2\" width=\"178\" height=\"120\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :<\/strong>\u00a0\u092f\u0939 \u0906\u0915\u0943\u0924\u093f \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 QR\u00a0\u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 PS || QR \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n(iv)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1836\/43178214145_47a04ac06e_o.jpg?resize=198%2C117&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.1 1.3\" width=\"198\" height=\"117\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong>\u092f\u0939 \u0906\u0915\u0943\u0924\u093f\u00a0\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930\u00a0\u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947\u00a0\u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902|<br \/>\n(v)<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1773\/43365951734_6f41241aa4_o.jpg?resize=185%2C156&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 9 Hindi Medium 9.1 1.4\" width=\"185\" height=\"156\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong>\u092f\u0939 \u0906\u0915\u0943\u0924\u093f\u00a0\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930\u00a0\u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947\u00a0\u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902|<br \/>\n(vi)<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1819\/43178214415_c641a0ee21_o.jpg?resize=175%2C127&#038;ssl=1\" alt=\"NCERT Class 9 Maths Hindi Medium Solutions 9.1 1.5\" width=\"175\" height=\"127\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong>\u092f\u0939 \u0906\u0915\u0943\u0924\u093f\u00a0\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930\u00a0\u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947\u00a0\u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902|<\/p>\n<p><strong>\u092a\u094d\u0930\u092e\u0947\u092f :<\/strong><\/p>\n<p>\u092a\u094d\u0930\u092e\u0947\u092f 9.1 : \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947 \u092c\u093f\u091a \u0938\u094d\u0925\u093f\u0924 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1795\/43365952274_5d0a48129e_o.jpg?resize=301%2C168&#038;ssl=1\" alt=\"NCERT Maths Class 9 Hindi Medium Solutions 9.1 2\" width=\"301\" height=\"168\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0||gm ABCD \u0914\u0930 ||gm EFCD<br \/>\n\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 CD \u0914\u0930 AB || CD \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :\u00a0<\/strong><br \/>\nar(ABCD) = ar(EFCD)<br \/>\n\u0909\u092a\u092a\u0924\u093f :<br \/>\n\u0394ADE \u0924\u0925\u093e\u00a0\u0394BCF \u092e\u0947\u0902<br \/>\nAD = BC ( ||gm \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u092d\u0941\u091c\u093e \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902)<br \/>\n\u200b\u2220DAE =\u00a0\u2220CBF (\u0938\u0902\u0917\u0924 \u0915\u094b\u0923)<br \/>\n\u2220AED =\u00a0\u2220BFC (\u0938\u0902\u0917\u0924 \u0915\u094b\u0923)<br \/>\nASA \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u0947<br \/>\n\u0394ADE\u00a0<strong>\u2245<\/strong>\u00a0\u0394BCF<br \/>\n\u0905\u0924: ar(ADE) = ar(BCF) &#8230;&#8230;.. (i)<br \/>\n(\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 )<br \/>\n\u0905\u092c, \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b ar(EBCD) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nar(ADE) + ar(EBCD) = ar(BCF) +\u00a0ar(EBCD)<br \/>\n\u200bar(ABCD) = ar(EFCD)<br \/>\nProved.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 9.2<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1775\/30216741528_b1454212f4_o.jpg?resize=556%2C67&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.2 1\" width=\"556\" height=\"67\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1815\/43178215335_f39931d9a1_o.jpg?resize=308%2C179&#038;ssl=1\" alt=\"NCERT Solutions For Maths Class 9 Hindi Medium 9.2 2\" width=\"308\" height=\"179\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0E, F, G \u0914\u0930 H \u0915\u094d\u0930\u092e\u0936: \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c<br \/>\nABCD \u0915\u093f \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f-\u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902 |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1818\/43365952854_cf8524c7d8_o.jpg?resize=464%2C155&#038;ssl=1\" alt=\"Maths NCERT Solutions Class 9 Hindi Medium 9.2 2.2\" width=\"464\" height=\"155\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.2 Class 9 \u0917\u0923\u093f\u0924 Q3. <\/strong><strong>P \u0914\u0930 Q \u0915\u094d\u0930\u092e\u0936: \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 DC \u0914\u0930 AD \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f ar (APB) = ar (BQC) \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1776\/44035966572_2ca48291e9_o.jpg?resize=294%2C157&#038;ssl=1\" alt=\"Maths NCERT Class 9 Solutions Hindi Medium 9.2 3\" width=\"294\" height=\"157\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0P \u0914\u0930 Q \u0915\u094d\u0930\u092e\u0936: \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD<br \/>\n\u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 DC \u0914\u0930 AD \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nar(APB) = ar(BQC)<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1800\/43178215325_16bed654d4_o.jpg?resize=593%2C359&#038;ssl=1\" alt=\"Maths Class 9 NCERT Solutions Hindi Medium 9.2 3.1\" width=\"593\" height=\"359\" data-recalc-dims=\"1\" \/><br \/>\n\u0394APB \u0924\u0925\u093e ||gm ABCD \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AB \u0924\u0925\u093e AB || CD \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<\/p>\n<p><strong>Ex 9.2 Class 9 \u0917\u0923\u093f\u0924 Q4. P \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0947 \u0905\u092d\u094d\u092f\u0902\u0924\u0930 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1838\/43178216245_b603ce4169_o.jpg?resize=429%2C71&#038;ssl=1\" alt=\"Maths Solutions For Class 9 NCERT Hindi Medium 9.2 4\" width=\"429\" height=\"71\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1795\/43178215475_12e1315bc6_o.jpg?resize=266%2C131&#038;ssl=1\" alt=\"Solutions For Maths NCERT Class 9 Hindi Medium 9.2 4.1\" width=\"266\" height=\"131\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0905\u092d\u094d\u092f\u0902\u0924\u0930 P \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1835\/44035966712_58df841c33_o.jpg?resize=429%2C71&#038;ssl=1\" alt=\"Class 9 NCERT Maths Solutions Hindi Medium 9.2 4.2\" width=\"429\" height=\"71\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1778\/44035966842_e174b6f187_o.jpg?resize=281%2C144&#038;ssl=1\" alt=\"NCERT Solutions For Class 9 Maths PDF Hindi Medium 9.2 4.3\" width=\"281\" height=\"144\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong>\u00a0P \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 AB \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 GH \u0916\u093f\u0902\u091a\u093e \u0914\u0930 AD \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 EF \u0916\u093f\u0902\u091a\u093e |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><br \/>\nAB || GH \u0930\u091a\u0928\u093e \u0938\u0947 \u0914\u0930 AB = GH \u0939\u0948 \u0907\u0938\u0932\u093f\u090f ABHG \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1771\/43365952654_0909b6fbd5_o.jpg?resize=585%2C611&#038;ssl=1\" alt=\"Class 9th Maths NCERT Solutions Hindi Medium 9.2 2.1\" width=\"585\" height=\"611\" data-recalc-dims=\"1\" \/><br \/>\n\u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 DCHG \u092d\u0940 \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n\u0905\u092c<br \/>\n\u0394APB \u0924\u0925\u093e ||gm ABHG \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AB \u0924\u0925\u093e AB || GH \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1778\/44035967132_620ec5a6b0_o.jpg?resize=547%2C853&#038;ssl=1\" alt=\"NCERT Maths Book Class 9 Solutions Hindi Medium 9.2 4.4\" width=\"547\" height=\"853\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.2 Class 9 \u0917\u0923\u093f\u0924\u00a0Q5. PQRS \u0914\u0930 ABRS \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0924\u0925\u093e X \u092d\u0941\u091c\u093e BR \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1835\/43365955024_668744d786_o.jpg?resize=502%2C128&#038;ssl=1\" alt=\"Class 9 NCERT Solutions Maths Hindi Medium 9.2 5\" width=\"502\" height=\"128\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0PQRS \u0914\u0930 ABRS \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0924\u0925\u093e X \u092d\u0941\u091c\u093e BR \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1818\/43178216335_2b0335f152_o.jpg?resize=502%2C128&#038;ssl=1\" alt=\"9th Class Maths NCERT Hindi Medium Solutions 9.2 5.1\" width=\"502\" height=\"128\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><br \/>\n||gm PQRS \u0924\u0925\u093e ||gm ABRS \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 SR \u0924\u0925\u093e SR|| PB \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 |<br \/>\n\u0907\u0938\u0932\u093f\u090f \u092a\u094d\u0930\u092e\u0947\u092f 9.1 \u0938\u0947<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1777\/43365954734_313e216c7d_o.jpg?resize=415%2C91&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.2 5.2\" width=\"415\" height=\"91\" data-recalc-dims=\"1\" \/><br \/>\nar(PQRS) = ar(ABRS) &#8230;&#8230;. (i)\u00a0<strong>Proved<\/strong><br \/>\n\u0905\u092c,\u00a0\u0394AXS \u0924\u0925\u093e ||gm ABRS \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AS \u0924\u0925\u093e AS || BR \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<\/p>\n<p><strong>Ex 9.2 Class 9 \u0917\u0923\u093f\u0924\u00a0Q6.\u00a0<\/strong><strong>\u090f\u0915 \u0915\u093f\u0938\u093e\u0928 \u0915\u0947 \u092a\u093e\u0938 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c (PQRS) \u0915\u0947 \u0930\u0942\u092a \u0915\u093e \u090f\u0915 \u0916\u0947\u0924 \u0925\u093e\u0964 \u0909\u0938\u0928\u0947 RS \u092a\u0930 \u0938\u094d\u0925\u093f\u0924<\/strong>\u00a0<strong>\u0915\u094b\u0908 \u092c\u093f\u0928\u094d\u0926\u0941 A \u0932\u093f\u092f\u093e \u0914\u0930 \u0909\u0938\u0947 P \u0914\u0930 Q \u0938\u0947 \u092e\u093f\u0932\u093e \u0926\u093f\u092f\u093e\u0964 \u0916\u0947\u0924 \u0915\u093f\u0924\u0928\u0947 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b<\/strong>\u00a0<strong>\u0917\u092f\u093e \u0939\u0948<\/strong><strong>?\u00a0<\/strong><strong>\u0907\u0928 \u092d\u093e\u0917\u094b\u0902 \u0915\u0947 \u0906\u0915\u093e\u0930 \u0915\u094d\u092f\u093e \u0939\u0948\u0902<\/strong><strong>?\u00a0<\/strong><strong>\u0935\u0939 \u0915\u093f\u0938\u093e\u0928 \u0916\u0947\u0924 \u092e\u0947\u0902 \u0917\u0947\u0939\u0942\u0901 \u0914\u0930 \u0926\u093e\u0932\u0947\u0902 \u092c\u0930\u093e\u092c\u0930-\u092c\u0930\u093e\u092c\u0930 \u092d\u093e\u0917\u094b\u0902\u00a0<\/strong><strong>\u092e\u0947\u0902 \u0905\u0932\u0917-\u0905\u0932\u0917 \u092c\u094b\u0928\u093e \u091a\u093e\u0939\u0924\u0940 \u0939\u0948\u0964 \u0935\u0939 \u0910\u0938\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947<\/strong><strong>?<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1800\/43365955494_8bc3e7417a_o.jpg?resize=571%2C640&#038;ssl=1\" alt=\"CBSE Class 9 Maths Hindi Medium Solutions 9.2 6\" width=\"571\" height=\"640\" 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 9.3<\/strong><\/span><\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924 Q1. <\/strong>\u0394<strong>ABC \u0915\u0940 \u090f\u0915 \u092e\u0927\u094d\u092f\u093f\u0915\u093e AD \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 E \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f ar(ABE) = ar(ACE) \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1797\/43178218345_58bec76554_o.jpg?resize=230%2C179&#038;ssl=1\" alt=\"NCERT Solutions For Class 9 Maths Hindi Medium 9.3 1\" width=\"230\" height=\"179\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0\u0394ABC \u0915\u0940 \u090f\u0915 \u092e\u0927\u094d\u092f\u093f\u0915\u093e AD \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 E \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0ar(ABE) = ar(ACE)<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong>\u00a0B \u0924\u0925\u093e C E \u0915\u094b \u092e\u093f\u0932\u093e\u092f\u093e |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u0394ABC \u092e\u0947\u0902,<br \/>\nAD\u00a0\u0394ABC \u0915\u093f \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f ar(ABD) = ar(ACD) &#8230;&#8230;&#8230; (i)<br \/>\n(\u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093f \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0909\u0938\u0947 \u0926\u094b \u092c\u0930\u093e\u092c\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u093e\u0932\u0947 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u0924\u093e \u0939\u0948 )<br \/>\n\u0905\u092c,\u00a0\u00a0\u0394BEC \u092e\u0947\u0902,<br \/>\nED \u092d\u0940\u00a0\u0394BEC \u0915\u093f \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f ar(BED) = ar(CED) &#8230;&#8230;. (ii)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947\u0902 \u0938\u0947 (ii) \u0918\u091f\u093e\u0928\u0947 \u092a\u0930<br \/>\nar(ABD) &#8211; ar(BED) = ar(ACD) &#8211; ar(CED)<br \/>\n\u092f\u093e ar(ABE) = ar(ACE)<br \/>\nProved.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1796\/43178218765_4ae5f5950c_o.jpg?resize=515%2C239&#038;ssl=1\" alt=\"Maths NCERT Solutions Class 9 Hindi Medium 9.3 2\" width=\"515\" height=\"239\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1773\/43178218585_15d0875fa1_o.jpg?resize=566%2C448&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 2.1\" width=\"566\" height=\"448\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q3.\u00a0<\/strong><strong>\u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0935\u093f\u0915\u0930\u094d\u0923 \u0909\u0938\u0947<\/strong>\u00a0<strong>\u092c\u0930\u093e\u092c\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932\u094b\u0902 \u0935\u093e\u0932\u0947 \u091a\u093e\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u0924\u0947 \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\/1820\/43365956074_c5a104d899_o.jpg?resize=305%2C184&#038;ssl=1\" alt=\"Class 9 Maths NCERT Solutions Hindi Medium 9.3 3\" width=\"305\" height=\"184\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0926\u094b \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0924\u0925\u093e BD \u0939\u0948\u0902 | \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 |\u200b<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nar(AOB) = ar(BOC) = ar(COD) = ar(AOD)<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :\u00a0<\/strong><br \/>\n\u0394ABC \u0915\u0940 \u092d\u0941\u091c\u093e AC \u0915\u093e O \u092e\u0927\u094d\u092f-\u092c\u093f\u0902\u0926\u0941 \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f OB \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 |<br \/>\n\u0905\u0924: ar(AOB) = ar(BOC)\u00a0 &#8230;&#8230;. (i)<br \/>\n(\u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093f \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0909\u0938\u0947 \u0926\u094b \u092c\u0930\u093e\u092c\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u093e\u0932\u0947 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u0924\u093e \u0939\u0948 )<br \/>\n\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930, \u0394ACD \u0915\u0940 \u092d\u0941\u091c\u093e AC \u0915\u093e O \u092e\u0927\u094d\u092f-\u092c\u093f\u0902\u0926\u0941 \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f OD \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 |<br \/>\n\u0905\u0924: ar(AOD) = ar(COD)\u00a0 &#8230;&#8230;. (ii)<br \/>\n\u0905\u092c \u0914\u0930\u00a0\u0394BCD \u092e\u0947\u0902<br \/>\n\u092d\u0941\u091c\u093e BD \u0915\u0940 \u092e\u0927\u094d\u092f-\u092c\u093f\u0902\u0926\u0941 O \u0939\u0948 \u0905\u0924: OC \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 |<br \/>\n\u0905\u0924 : ar(BOC) = ar(COD) &#8230;&#8230;. (iii)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (i), (ii) \u0924\u0925\u093e (iii) \u0938\u0947 \u0939\u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 |<br \/>\nar(AOB) = ar(BOC) = ar(COD) = ar(AOD)<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q4. ABC \u0914\u0930 ABD \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AB \u092a\u0930 \u092c\u0928\u0947 \u0926\u094b \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948\u0902 | \u092f\u0926\u093f \u0930\u0947\u0916\u093e\u0916\u0902\u0921 CD \u0930\u0947\u0916\u093e\u0916\u0902\u0921 AB \u0938\u0947 \u092c\u093f\u0902\u0926\u0941 O \u092a\u0930 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948, \u0924\u094b \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f ar(ABC) = ar(ABD)<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABC \u0914\u0930 ABD \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AB \u092a\u0930 \u092c\u0928\u0947 \u0926\u094b \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948\u0902 \u0914\u0930 \u0930\u0947\u0916\u093e\u0916\u0902\u0921 CD \u0930\u0947\u0916\u093e\u0916\u0902\u0921 AB \u0938\u0947 \u092c\u093f\u0902\u0926\u0941 O \u092a\u0930 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0ar(ABC) = ar(ABD)<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0DACD \u092e\u0947\u0902 \u092d\u0941\u091c\u093e CD \u0915\u094b AB \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u092e\u0927\u094d\u092f-\u092c\u093f\u0902\u0926\u0941 O \u0939\u0948 |<br \/>\n\u0905\u0924: AO \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093f \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f\u00a0 ar(AOC) = ar(AOD) &#8230;&#8230; (i)<br \/>\n(\u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093f \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0909\u0938\u0947 \u0926\u094b \u092c\u0930\u093e\u092c\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u093e\u0932\u0947 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0901\u091f\u0924\u093e \u0939\u0948 )<br \/>\n\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930, DBCD \u092e\u0947\u0902 OB \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 |<br \/>\n\u0905\u0924:ar(BOC) = ar(BOD) &#8230;&#8230;&#8230;. (ii)<br \/>\n\u0938\u092e\u0940\u0966 (i) \u0924\u0925\u093e (ii) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nar(AOC) + ar(BOC) = ar(AOD) + ar(BOD)<br \/>\n\u092f\u093e ar(ABC) = ar(ABD)<br \/>\nProved.<br \/>\n\u092f\u093e\u00a0\u00a0 FE || BC \u0924\u0925\u093e FE = BD\u00a0\u00a0 [ \u091a\u0942\u0901\u0915\u093f D BC \u0915\u093e \u092e\u0927\u094d\u092f-\u092c\u093f\u0902\u0926\u0941 \u0939\u0948 ]<br \/>\n\u0905\u0924: BDEF \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\nProved\u00a0(i)<br \/>\n(\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u090f\u0915 \u092f\u0941\u0917\u094d\u092e \u092c\u0930\u093e\u092c\u0930 \u0914\u0930 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u094b \u0924\u094b \u0935\u0939 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u094b\u0924\u093e \u0939\u0948 |)<\/p>\n<p>(ii) DF \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c BDEF \u0915\u093e \u0935\u093f\u0915\u0930\u094d\u0923 \u0939\u0948 \u0907\u0938\u0932\u093f\u090f<br \/>\nar(BDF) = ar(DEF) &#8230;. (i)<br \/>\n\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930, DCEF \u092d\u0940 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0914\u0930 DE \u0907\u0938\u0915\u093e \u0935\u093f\u0915\u0930\u094d\u0923 \u0939\u0948 |<br \/>\nar(CED) = ar(DEF) &#8230;. (ii)<br \/>\n\u0914\u0930 AEDF \u092d\u0940 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0914\u0930 FE \u0907\u0938\u0915\u093e \u0935\u093f\u0915\u0930\u094d\u0923 \u0939\u0948 |<br \/>\n\u0924\u094b\u00a0\u00a0 ar(AEF) = ar(DEF) &#8230;. (iii)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (i), (ii) \u0914\u0930 (iii) \u0938\u0947<br \/>\nar(AEF) = ar(BDF) = ar(DEF) = ar(CED) &#8230;.. (vi)<br \/>\n\u0905\u092c ar(AEF) + ar(BDF) + ar(DEF) + ar(CED) = ar(ABC)<br \/>\n\u092f\u093e\u00a0 ar(DEF) + ar(DEF) + ar(DEF) + ar(DEF) = ar(ABC) \u0938\u092e\u0940\u0966 (vi)<br \/>\n\u092f\u093e 4 ar(DEF) = ar(ABC)<br \/>\n(iii) ar(BDF) + ar(DEF) + ar(AEF) + ar(CED) = ar(ABC)<br \/>\n\u092f\u093e ar(BDF) + ar(DEF) + ar(BDF) + ar(DEF) = ar(ABC)<br \/>\n\u092f\u093e ar(BDEF) + ar(BDEF) = ar(ABC)<br \/>\n\u092f\u093e 2 ar(BDEF) = ar(ABC)<\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1774\/43178219145_c93c78e42f_o.jpg?resize=585%2C290&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 9 Hindi Medium 9.3 5\" width=\"585\" height=\"290\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1793\/43178217875_b64dde4bea_o.jpg?resize=585%2C305&#038;ssl=1\" alt=\"NCERT Class 9 Maths Hindi Medium Solutions 9.3 5.1\" width=\"585\" height=\"305\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1777\/43178217965_9af213af78_o.jpg?resize=330%2C49&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 5.2\" width=\"330\" height=\"49\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1813\/43178218845_e671bb2e7b_o.jpg?resize=351%2C46&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 5.3\" width=\"351\" height=\"46\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q6. \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0914\u0930 BD \u092a\u0930\u0938\u094d\u092a\u0930 \u092c\u093f\u0902\u0926\u0941 O \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 OB = OD \u0939\u0948 | \u092f\u0926\u093f AB = CD \u0939\u0948, \u0924\u094b \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f<\/strong><br \/>\n<strong>(i) ar (DOC) = ar (AOB)<\/strong><br \/>\n<strong>(ii) ar (DCB) = ar (ACB)<\/strong><br \/>\n<strong>(iii) DA || CB \u092f\u093e ABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1772\/44035968972_d0947c1407_o.jpg?resize=229%2C174&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 6\" width=\"229\" height=\"174\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0914\u0930 BD \u092a\u0930\u0938\u094d\u092a\u0930 \u092c\u093f\u0902\u0926\u0941 O \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 OB = OD \u0939\u0948 | \u092f\u0926\u093f AB = CD \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\n(i) ar (DOC) = ar (AOB)<br \/>\n(ii) ar (DCB) = ar (ACB)<br \/>\n(iii) DA || CB \u092f\u093e ABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u00a0\u0394DOC \u0924\u0925\u093e\u00a0\u0394AOB \u092e\u0947\u0902<br \/>\nCD = AB\u00a0 (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\nOD = OB\u00a0 (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\n\u2220COD =\u00a0\u2220AOB\u00a0 (\u0936\u0940\u0930\u094d\u0937\u093e\u092d\u093f\u092e\u0941\u0916 \u0915\u094b\u0923)<br \/>\n\u0907\u0938\u0932\u093f\u090f, SAS \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u0947<br \/>\n\u0394DOC\u00a0<strong>\u2245<\/strong>\u00a0\u0394AOB<br \/>\n\u2220DCO =\u00a0\u2220BAO\u00a0 &#8230;&#8230; (i) BY CPCT<br \/>\n\u091a\u0942\u0901\u0915\u093f\u00a0\u0394DOC\u00a0<strong>\u2245<\/strong>\u00a0\u0394AOB \u0907\u0938\u0932\u093f\u090f<br \/>\nar (DOC) = ar (AOB)\u00a0\u00a0 &#8230;.(ii) Proved<br \/>\n(\u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948 )<br \/>\n\u0938\u092e\u0940\u0966 (ii) \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b ar(BOC) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nar (DOC) + ar(BOC) = ar (AOB) + ar(BOC)<br \/>\n\u092f\u093e\u00a0ar(DCB) = ar (ACB)<br \/>\nProved.<br \/>\n\u0938\u092e\u0940\u0966 (i) \u0938\u0947<br \/>\n\u2220DCO =\u00a0\u2220BAO\u00a0 &#8230;&#8230; (\u090f\u0915\u093e\u0902\u0924\u0930 \u0915\u094b\u0923)<br \/>\n\u0907\u0938\u0932\u093f\u090f,\u00a0 CD || AB \u0914\u0930 CD = AB \u0926\u093f\u092f\u093e \u0939\u0948 |<br \/>\n\u0905\u0924: ABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n(\u0938\u092e\u094d\u092e\u0941\u0916 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u090f\u0915 \u092f\u0941\u0917\u094d\u092e \u092c\u0930\u093e\u092c\u0930 \u0914\u0930 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u094b \u0924\u094b \u0935\u0939 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u094b\u0924\u093e \u0939\u0948)<br \/>\n\u0907\u0938\u0932\u093f\u090f DA || CB \u092f\u093e ABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q7. \u092c\u093f\u0902\u0926\u0941 D \u0914\u0930 E \u0915\u094d\u0930\u092e\u0936:\u00a0<\/strong><strong>D<\/strong><strong>ABC \u0915\u093f \u092d\u0941\u091c\u093e\u0913\u0902 AB \u0914\u0930 AC \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u0915\u093f ar(DBC) = ar(EBC) \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f DE || BC \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0\u092c\u093f\u0902\u0926\u0941 D \u0914\u0930 E \u0915\u094d\u0930\u092e\u0936: DABC \u0915\u093f \u092d\u0941\u091c\u093e\u0913\u0902 AB \u0914\u0930 AC \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u0915\u093f ar(DBC) = ar(EBC) \u0939\u0948 |<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1834\/43365957564_29f8762261_o.jpg?resize=199%2C211&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 7\" width=\"199\" height=\"211\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nDE || BC<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><br \/>\n\u0394DBC \u0914\u0930\u00a0\u0394EBC \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 BC \u0914\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f<br \/>\nar(DBC) = ar(EBC) \u0926\u093f\u092f\u093e \u0939\u0948 |<br \/>\n\u0905\u0924: \u092a\u094d\u0930\u092e\u0947\u092f 9.3 \u0938\u0947<br \/>\nDE || BC<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q8. XY \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0940 \u092d\u0941\u091c\u093e BC \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u090f\u0915 \u0930\u0947\u0916\u093e \u0939\u0948 | \u092f\u0926\u093f BE || AC \u0914\u0930 CF || AB \u0930\u0947\u0916\u093e XY \u0938\u0947 \u0915\u094d\u0930\u092e\u0936: E \u0914\u0930 F \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u0924\u094b \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f:<\/strong><br \/>\n<strong>ar(ABE) = ar(ACF)<\/strong><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1774\/44035969162_91458015d5_o.jpg?resize=325%2C201&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 8\" width=\"325\" height=\"201\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0XY \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0940 \u092d\u0941\u091c\u093e BC \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u090f\u0915 \u0930\u0947\u0916\u093e \u0939\u0948| \u092f\u0926\u093f BE || AC \u0914\u0930 CF || AB \u0930\u0947\u0916\u093e XY \u0938\u0947 \u0915\u094d\u0930\u092e\u0936 : E \u0914\u0930 F \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948|<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nar(ABE) = ar(ACF)<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong>\u00a0E \u0924\u0925\u093e F \u0915\u094b A \u0938\u0947 \u092e\u093f\u0932\u093e\u092f\u093e |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0BC || XY \u0914\u0930 BE || AC \u0926\u093f\u092f\u093e \u0939\u0948, \u0907\u0938\u0932\u093f\u090f BCYE \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930 BC || XY \u0914\u0930 CE || AB \u0926\u093f\u092f\u093e \u0939\u0948 \u0905\u0924: BCFX \u092d\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n\u0905\u092c \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c BCYE \u0924\u0925\u093e BCFX \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 BC \u0914\u0930 BC||XY \u0915\u0947 \u092e\u0927\u094d\u092f-\u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f \u092a\u094d\u0930\u092e\u0947\u092f 9.1 \u0938\u0947<br \/>\nar(BCYE) = ar(BCFX)\u00a0 &#8230;&#8230;&#8230;&#8230; (1)<br \/>\n(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948 |)<br \/>\n\u0394ABE \u0914\u0930 ||gm BCYE \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 BE \u0914\u0930 BE || AC \u0915\u0947 \u092e\u0927\u094d\u092f-\u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1793\/43365957734_4439585607_o.jpg?resize=488%2C398&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 8.1\" width=\"488\" height=\"398\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q9. \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0940 \u090f\u0915 \u092d\u0941\u091c\u093e AB \u0915\u094b \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 P \u0924\u0915 \u092c\u0922\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 | A \u0938\u0947 \u0939\u094b\u0915\u0930 CP \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0916\u093f\u0902\u091a\u0940 \u0917\u0908 \u0930\u0947\u0916\u093e \u092c\u0922\u093e\u0908 \u0917\u0908 CB \u0915\u094b Q \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948 \u0914\u0930 \u092b\u093f\u0930 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c PBQR \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f ar(ABCD) = ar(PBQR) \u0939\u0948 |<\/strong><br \/>\n[\u0938\u0902\u0915\u0947\u0924: AC \u0914\u0930 PQ \u0915\u094b \u092e\u093f\u0932\u093e\u0907\u090f | \u0905\u092c ar(ACQ) \u0914\u0930 ar(APQ) \u0915\u093f \u0924\u0941\u0932\u0928\u093e \u0915\u0940\u091c\u093f\u092f\u0947 |]<br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1819\/44035969382_7306637583_o.jpg?resize=191%2C166&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 9\" width=\"191\" height=\"166\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u0924\u0925\u093e PBQR \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<br \/>\n\u091c\u0939\u093e\u0901 AQ || CP \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0ar(ABCD) = ar(PBQR)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1776\/43365958094_859e92d8f8_o.jpg?resize=365%2C153&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 9.1\" width=\"365\" height=\"153\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0||gm ABCD \u0915\u093e AC \u090f\u0915 \u0935\u093f\u0915\u0930\u094d\u0923 \u0939\u0948 |<br \/>\n\u0394ACQ \u0924\u0925\u093e\u00a0\u0394APQ \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AQ \u0924\u0925\u093e CP || AQ \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u0905\u0924: ar(ACQ) = ar(APQ) &#8230;&#8230;&#8230;. (3)<br \/>\n<strong>(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |)<\/strong><br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (3) \u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b ar(ABQ) \u0918\u091f\u093e\u0928\u0947 \u092a\u0930<br \/>\nar(ACQ) &#8211; ar(ABQ) = ar(APQ) &#8211; ar(ABQ)<br \/>\n\u092f\u093e ar(ABC) = ar(PBQ)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1835\/44035969292_7e353c4e2e_o.jpg?resize=437%2C91&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.3 9.2\" width=\"437\" height=\"91\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q10. \u090f\u0915 \u0938\u092e\u0932\u0902\u092c ABCD, \u091c\u093f\u0938\u092e\u0947\u0902 AB || DC \u0939\u0948\u0902, \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0914\u0930 BD \u092a\u0930\u0938\u094d\u092a\u0930 O \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f ar(AOD) = ar(BOC) \u0939\u0948 |<br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1778\/44035969452_1dbd90565b_o.jpg?resize=252%2C153&#038;ssl=1\" alt=\"NCERT Maths Class 9 Hindi Medium Solutions 9.3 10\" width=\"252\" height=\"153\" data-recalc-dims=\"1\" \/><br \/>\n<\/strong>\u0926\u093f\u092f\u093e \u0939\u0948 :\u00a0\u090f\u0915 \u0938\u092e\u0932\u0902\u092c ABCD, \u091c\u093f\u0938\u092e\u0947\u0902 AB || DC \u0939\u0948\u0902, \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0914\u0930 BD \u092a\u0930\u0938\u094d\u092a\u0930 O \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 |<br \/>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :\u00a0ar(AOD) = ar(BOC)<br \/>\n\u092a\u094d\u0930\u092e\u093e\u0923 :\u00a0\u0394ACD \u0924\u0925\u093e\u00a0\u0394BCD \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 DC \u0924\u0925\u093e AB || DC<br \/>\n\u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 | \u0905\u0924:<br \/>\nar(ACD) = ar(BCD) &#8230;&#8230;&#8230; (1)<br \/>\n(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |)<br \/>\n\u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b ar(COD) \u0918\u091f\u093e\u0928\u0947 \u092a\u0930<br \/>\nar(ACD) &#8211; ar(COD) = ar(BCD) &#8211; ar(COD)<br \/>\n\u092f\u093e ar(AOD) = ar(BOC)<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q11. ABCDE \u090f\u0915 \u092a\u0902\u091a\u092d\u0941\u091c \u0939\u0948| B \u0938\u0947 \u0939\u094b\u0915\u0930 AC \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0916\u093f\u0902\u091a\u0940 \u0917\u0908 \u0930\u0947\u0916\u093e \u092c\u0922\u093e\u0908 \u0917\u0908 DC \u0915\u094b F \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f<\/strong><br \/>\n<strong>(i) ar(ACB) = ar(ACF)<\/strong><br \/>\n<strong>(ii) ar(AEDF) = ar(ABCDE)<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1840\/30216343258_681e31b5c1_o.jpg?resize=245%2C174&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.3 11\" width=\"245\" height=\"174\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCDE \u090f\u0915 \u092a\u0902\u091a\u092d\u0941\u091c \u0939\u0948| B \u0938\u0947 \u0939\u094b\u0915\u0930 AC \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0916\u093f\u0902\u091a\u0940 \u0917\u0908 \u0930\u0947\u0916\u093e \u092c\u0922\u093e\u0908 \u0917\u0908 DC \u0915\u094b F \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\n(i) ar(ACB) = ar(ACF)<br \/>\n(ii) ar(AEDF) = ar(ABCDE)<br \/>\n\u092a\u094d\u0930\u092e\u093e\u0923 :\u00a0AC || BF \u0926\u093f\u092f\u093e \u0939\u0948 |<br \/>\n\u0394ACB \u0914\u0930\u00a0\u0394ACF \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AC \u0924\u0925\u093e AC || BF \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u0905\u0924: ar(ACB) = ar(ACF) &#8230;&#8230;.. (1)<br \/>\nProved.<br \/>\n(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |)<br \/>\n\u0905\u092c \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b ar(ACDE) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nar(ACB) + ar(ACDE) = ar(ACF) + ar(ACDE)<br \/>\n\u092f\u093e\u00a0 ar(ABCDE) = ar(AEDF)<br \/>\n\u092f\u093e ar(AEDF) = ar(ABCDE)<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q12.\u00a0<\/strong><strong>\u0917\u093e\u0901\u0935 \u0915\u0947 \u090f\u0915 \u0928\u093f\u0935\u093e\u0938\u0940 \u0907\u0924\u0935\u093e\u0930\u0940 \u0915\u0947 \u092a\u093e\u0938 \u090f\u0915 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u093e\u0915\u093e\u0930 \u092d\u0942\u0916\u0902\u0921 \u0925\u093e\u0964 \u0909\u0938 \u0917\u093e\u0901\u0935 \u0915\u0940 \u0917\u094d\u0930\u093e\u092e \u092a\u0902\u091a\u093e\u092f\u0924<\/strong>\u00a0<strong>\u0928\u0947 \u0909\u0938\u0915\u0947 \u092d\u0942\u0916\u0902\u0921 \u0915\u0947 \u090f\u0915 \u0915\u094b\u0928\u0947 \u0938\u0947 \u0909\u0938\u0915\u093e \u0915\u0941\u091b \u092d\u093e\u0917 \u0932\u0947\u0928\u0947 \u0915\u093e \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u093f\u092f\u093e \u0924\u093e\u0915\u093f \u0935\u0939\u093e\u0901 \u090f\u0915<\/strong>\u00a0<strong>\u0938\u094d\u0935\u093e\u0938\u094d\u0925\u094d\u092f \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u093e \u0928\u093f\u0930\u094d\u092e\u093e\u0923 \u0915\u0930\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0947\u0964 \u0907\u0924\u0935\u093e\u0930\u0940 \u0907\u0938 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935 \u0915\u094b \u0907\u0938 \u092a\u094d\u0930\u0924\u093f\u092c\u0928\u094d\u0927\u094d \u0915\u0947 \u0938\u093e\u0925<\/strong><strong>\u0938\u094d\u0935\u0940\u0915\u093e\u0930 \u0915\u0930 \u0932\u0947\u0924\u093e \u0939\u0948 \u0915\u093f \u0909\u0938\u0947 \u0907\u0938 \u092d\u093e\u0917 \u0915\u0947 \u00a0\u092c\u0926\u0932\u0947 \u0909\u0938\u0940 \u092d\u0942\u0916\u0902\u0921 \u0915\u0947 \u0938\u0902\u0932\u0917\u094d\u0928 \u090f\u0915 \u092d\u093e\u0917 \u0910\u0938\u093e \u0926\u0947<\/strong>\u00a0<strong>\u0926\u093f\u092f\u093e \u091c\u093e\u090f \u0915\u093f \u0909\u0938\u0915\u093e \u092d\u0942\u0916\u0902\u0921 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u093e\u0915\u093e\u0930 \u0939\u094b \u091c\u093e\u090f\u0964 \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0907\u0938 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935 \u0915\u094b \u0915\u093f\u0938<\/strong>\u00a0<strong>\u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u093e\u0930\u094d\u092f\u093e\u0928\u094d\u0935\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0939\u0932 :\u00a0<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1795\/29147022507_9474096c64_o.jpg?resize=211%2C303&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.3 12\" width=\"211\" height=\"303\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 | ar(BEC) \u0938\u094d\u0935\u093e\u0938\u094d\u0925\u094d\u092f \u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u0947 \u0932\u093f\u090f \u092d\u0942\u0916\u0902\u0921 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nar(ABCD) = ar(PCD)<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong>\u00a0A \u0915\u094b C \u0938\u0947 \u092e\u093f\u0932\u093e\u092f\u093e \u0914\u0930 AB \u0915\u0947 \u092c\u095d\u0947 \u0939\u0941\u090f \u092d\u093e\u0917 P \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 AC || PB \u0916\u093f\u0902\u091a\u093e |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u0394ACP \u0924\u0925\u093e\u00a0\u0394ACB \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AC \u0924\u0925\u093e AC || PB \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u0905\u0924: ar(ACP) = ar(ACB) &#8230;&#8230;.. (1)<br \/>\n(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |)<br \/>\nar(AEC) \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b \u0918\u091f\u093e\u0928\u0947 \u092a\u0930<br \/>\nar(ACP) &#8211; ar(AEC) = ar(ACB) &#8211; ar(AEC)<br \/>\n\u092f\u093e ar(AEP) = ar(BEC) &#8230;&#8230;. (2)<br \/>\n\u0905\u0924: ar(BEC) \u0938\u094d\u0935\u093e\u0938\u094d\u0925\u094d\u092f \u0915\u0947\u0902\u0926\u094d\u0930 \u0939\u0948 \u0914\u0930 ar(AEP) \u0915\u0947 \u092c\u0926\u0932\u0947 \u092e\u093f\u0932\u093e \u092d\u0942\u0916\u0902\u0921 \u0939\u0948 |<br \/>\n\u0905\u092c \u0938\u092e\u0940\u0915\u0930\u0923 (2) \u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b ar(AECD) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nar(BEC) + ar(AECD) = ar(AEP) + ar(AECD)<br \/>\n\u092f\u093e\u00a0ar(ABCD) = ar(PCD)<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q13. ABCD \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 AB || DC \u0939\u0948 \u0914\u0930 AC \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u090f\u0915 \u0930\u0947\u0916\u093e AB \u0915\u094b X \u092a\u0930 \u0914\u0930 BC \u0915\u094b Y \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 | \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f<\/strong><br \/>\n<strong>ar (ADX) = ar (ACY) \u0939\u0948 |<\/strong><br \/>\n<strong>[ \u0938\u0902\u0915\u0947\u0924 : CX \u0915\u094b \u092e\u093f\u0932\u093e\u0907\u090f ]<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1839\/44035970042_ddacc2577f_o.jpg?resize=309%2C176&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.3 13\" width=\"309\" height=\"176\" 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 AB || DC \u0939\u0948 \u0914\u0930 AC \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u090f\u0915 \u0930\u0947\u0916\u093e AB \u0915\u094b X \u092a\u0930 \u0914\u0930 BC \u0915\u094b Y \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0ar (ADX) = ar (ACY)<br \/>\n<strong>\u0930\u091a\u0928\u093e :<\/strong>\u00a0CX \u0914\u0930 AY \u0915\u094b \u092e\u093f\u0932\u093e\u092f\u093e |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><br \/>\n\u0394ADX \u0924\u0925\u093e\u00a0\u0394ACX \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AX \u0914\u0930 AB || DC \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u0905\u0924: ar(ADX) = ar(ACX) &#8230;&#8230;&#8230;. (1)<br \/>\n<strong>(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |)<\/strong><br \/>\n\u0905\u092c\u00a0\u0394ACY \u0924\u0925\u093e\u00a0\u0394ACX \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 AC \u0924\u0925\u093e AC || XY \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u0905\u0924: ar(ACY) = ar(ACX) &#8230;&#8230;&#8230;.. (2)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0924\u0925\u093e (2) \u0938\u0947 \u0939\u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 |<br \/>\nar (ADX) = ar (ACY)<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q14. \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, AP || BQ || CR \u0939\u0948 | \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f<\/strong><br \/>\n<strong>ar(AQC) = ar(PBR) \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1837\/30216343378_ec1bd497af_o.jpg?resize=190%2C161&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.3 14\" width=\"190\" height=\"161\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0\u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, AP || BQ || CR \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0ar(AQC) = ar(PBR)<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0AP || BQ \u0926\u093f\u092f\u093e \u0939\u0948 | \u0905\u0924:\u00a0\u0394ABQ \u0924\u0925\u093e\u00a0\u0394PQB \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 BQ<br \/>\n\u0924\u0925\u093e AP || BQ \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u2234 ar(ABQ) = ar(PQB) &#8230;&#8230;.. (1)<br \/>\n(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 |)<br \/>\n\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930, BQ || CR \u0926\u093f\u092f\u093e \u0939\u0948 \u0914\u0930\u00a0\u0394BQC \u0924\u0925\u093e\u00a0\u0394BQR \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 BQ \u0924\u0925\u093e BQ || CR \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u2234 ar(BQC) = ar(BQR) &#8230;&#8230;.. (2)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0924\u0925\u093e (2) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nar(ABQ) + ar(BQC) = ar(PQB) + ar(BQR)<br \/>\n\u092f\u093e ar(AQC) = ar(PBR)<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q15. \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0914\u0930 BD \u092a\u0930\u0938\u094d\u092a\u0930 \u092c\u093f\u0902\u0926\u0941 O \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 ar (AOD) = ar (BOC) \u0939\u0948 | \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f ABCD \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1776\/44035970232_a2b93a28c4_o.jpg?resize=304%2C149&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.3 15\" width=\"304\" height=\"149\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0914\u0930 BD<br \/>\n\u092a\u0930\u0938\u094d\u092a\u0930 \u092c\u093f\u0902\u0926\u0941 O \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<br \/>\n\u0915\u093f ar (AOD) = ar (BOC) \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\nABCD \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0939\u0948 |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0\u00a0ar (AOD) = ar (BOC) &#8230;&#8230;.. (1)\u00a0 (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b ar(COD) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<br \/>\nar (AOD) + ar(COD) = ar (BOC) + ar(COD)<br \/>\n\u092f\u093e ar(ACD) = ar(BCD)<br \/>\n\u0905\u092c\u00a0\u0394ACD \u0924\u0925\u093e\u00a0\u0394BCD \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 CD \u0914\u0930 ar(ACD) = ar(BCD) \u0939\u0948 |<br \/>\n\u0905\u0924: \u092a\u094d\u0930\u092e\u0947\u092f 9.3 \u0938\u0947 \u092f\u0947 \u0926\u094b\u0928\u094b\u0902 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0905\u0935\u0936\u094d\u092f \u0939\u0940 \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 |<br \/>\n\u0907\u0938\u0932\u093f\u090f AB || DC \u0939\u0948 |<br \/>\n\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u092e\u0947\u0902 AB || DC \u0939\u0948 \u0905\u0924: ABCD \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0939\u0948 |<br \/>\nProved.<\/p>\n<p><strong>Ex 9.3 Class 9 \u0917\u0923\u093f\u0924\u00a0Q16. \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, ar(DRC) = ar(DPC) \u0939\u0948 \u0914\u0930\u00a0<\/strong><strong>ar(BDP) = ar(ARC) \u0939\u0948 | \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f \u0926\u094b\u0928\u094b\u0902 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c\u00a0<\/strong><strong>ABCD \u0914\u0930\u00a0<\/strong><strong>DCPR \u0938\u092e\u0932\u0902\u092c \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932 :<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1777\/44035970352_b2162a6823_o.jpg?resize=181%2C158&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.3 16\" width=\"181\" height=\"158\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ar(DRC) = ar(DPC) \u0939\u0948 \u0914\u0930<br \/>\nar(BDP) = ar(ARC) \u0939\u0948 |<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0914\u0930 DCPR \u0938\u092e\u0932\u0902\u092c \u0939\u0948 |<br \/>\n<strong>\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><br \/>\nar(ARC) = ar(BDP) \u2026\u2026\u2026 (1) (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\n\u0914\u0930 ar(DRC) = ar(DPC) &#8230;&#8230; (2) (\u0926\u093f\u092f\u093e \u0939\u0948)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u092e\u0947\u0902 \u0938\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 (2) \u0918\u091f\u093e\u0928\u0947 \u092a\u0930<br \/>\nar(ARC) &#8211; ar(DRC) = ar(BDP) &#8211; ar(DPC)<br \/>\n\u092f\u093e ar(ADC) = ar(BCD) &#8230;&#8230;. (3)<br \/>\n\u0905\u092c\u00a0\u0394ADC \u0914\u0930\u00a0\u0394BCD \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 DC \u0914\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902 \u0938\u092e\u0940\u0966 (3) \u0938\u0947 \u0905\u0924: \u092a\u094d\u0930\u092e\u0947\u092f 9.3 \u0938\u0947<br \/>\n(\u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u0914\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u090f\u0915 \u0939\u0940 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f-\u0938\u094d\u0925\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902|)<br \/>\n\u0907\u0938\u0932\u093f\u090f, AB || CD \u0939\u0948 \u0905\u0924: ABCD \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0939\u0948 |<br \/>\n\u0905\u092c\u00a0\u0394DRC \u0914\u0930\u00a0\u0394DPC \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 DC \u0914\u0930 \u0938\u092e\u0940\u0966 (2) \u0938\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902 | \u0905\u0924: \u092a\u094d\u0930\u092e\u0947\u092f 9.3 \u0938\u0947<br \/>\nDC || RP \u0939\u0948 \u0907\u0938\u0932\u093f\u090f DCPR \u090f\u0915 \u0938\u092e\u0932\u0902\u092c \u0939\u0948 |<br \/>\n\u0905\u0924: \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0914\u0930 DCPR \u0938\u092e\u0932\u0902\u092c \u0939\u0948|<br \/>\nProved.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 9.4 (\u0910\u091a\u094d\u091b\u093f\u0915)<\/strong><\/span><\/p>\n<p><strong>Ex 9. Class 9 \u0917\u0923\u093f\u0924 Q1. \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0914\u0930 \u0906\u092f\u0924 ABEF \u090f\u0915 \u0939\u0940 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902\u0964 \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u093e \u092a\u0930\u093f\u092e\u093e\u092a \u0906\u092f\u0924 \u0915\u0947 \u092a\u0930\u093f\u092e\u093e\u092a \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1867\/29528888917_e7845f01bd_o.png?resize=243%2C150&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 1\" width=\"243\" height=\"150\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u093e \u0906\u0927\u093e\u0930 AB \u0924\u0925\u093e \u0907\u0938\u0940 \u0906\u0927\u093e\u0930 AB \u092a\u0930 \u0939\u0940 \u0938\u092e\u093e\u0928 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u094b \u0906\u092f\u0924\u0947 ABEF \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964<br \/>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 : \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u093e \u092a\u0930\u093f\u092e\u093e\u092a &gt; \u0906\u092f\u0924 ABEF \u0915\u093e \u092a\u0930\u093f\u092e\u093e\u092a<br \/>\n\u0909\u092a\u092a\u0924\u094d\u0924\u093f: \u2206ADF \u092e\u0947\u0902,<br \/>\n\u2220F = 90\u00b0 (\u0906\u092f\u0924 \u0915\u093e \u0905\u0928\u094d\u0924:\u0915\u094b\u0923)<br \/>\nAF \u22a5 EF<br \/>\nAF &lt; AD (AD \u0915\u0930\u094d\u0923 \u0939\u0948) &#8230;(1)<br \/>\n\u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u2206BCE \u092e\u0947\u0902,<br \/>\n\u2220E = 90\u00b0 (\u0906\u092f\u0924 \u0915\u093e \u092c\u0939\u093f\u0937\u094d\u0915\u094b\u0923 = 90\u00b0)<br \/>\nBE \u22a5 CD<br \/>\nBE &lt; BC &#8230;.(2)<br \/>\n\u0938\u092e\u0940\u0915\u0930\u0923 (1) \u0935 (2) \u0915\u094b \u091c\u094b\u0921\u093c\u0928\u0947 \u092a\u0930<br \/>\n(AF + BE) &lt; (AD + BC)<br \/>\nAB = EF (ABDF \u0906\u092f\u0924 \u0939\u0948\u0964)<br \/>\n\u0914\u0930 AB = DC (ABCD \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964)<br \/>\n\u0926\u094b\u0928\u094b\u0902 \u0913\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 (AB + EF) \u0914\u0930 (AB + CD) \u091c\u094b\u0921\u093c\u0928\u0947 \u092a\u0930,<br \/>\nAB + BE + EF + AF &lt; AB + BC + CD + DA \u0905\u0924\u0903 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u093e \u092a\u0930\u093f\u092e\u093e\u092a&gt; \u0906\u092f\u0924 \u0915\u093e \u092a\u0930\u093f\u092e\u093e\u092a<br \/>\n\u0907\u0924\u093f \u0938\u093f\u0926\u094d\u0927\u092e.<\/p>\n<p><strong>Ex 9.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q2. \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, \u092d\u0941\u091c\u093e BC \u092a\u0930 \u0926\u094b \u092c\u093f\u0928\u094d\u0926\u0941 D \u0914\u0930 E \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u0915\u093f BD = DE = EC \u0939\u0948\u0964 \u0926\u0930\u094d\u0936\u093e\u0907\u090f\u0964 \u0915\u093f ar (ABD) = ar (ADE) = ar (AEC) \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u0915\u094d\u092f\u093e \u0906\u092a \u0905\u092c \u0909\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u0906\u092a\u0928\u0947 \u0907\u0938 \u0905\u0927\u094d\u092f\u093e\u092f \u0915\u0940 &#8216;\u092d\u0942\u092e\u093f\u0915\u093e&#8217; \u092e\u0947\u0902 \u091b\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u0925\u093e \u0915\u093f &#8220;\u0915\u094d\u092f\u093e \u092c\u0941\u0927\u093f\u092f\u093e \u0915\u093e \u0916\u0947\u0924 \u0935\u093e\u0938\u094d\u0924\u0935 \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932\u094b\u0902 B \u0935\u093e\u0932\u0947 \u0924\u0940\u0928 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b \u0917\u092f\u093e \u0939\u0948?&#8221;<\/strong><br \/>\n<strong>[\u091f\u093f\u092a\u094d\u092a\u0923\u0940\u0903 \u0927\u094d\u092f\u093e\u0928 \u0926\u0940\u091c\u093f\u090f \u0915\u093f BD = DE = EC \u0932\u0947\u0928\u0947 \u0938\u0947 \u2206ABC \u0924\u0940\u0928 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 ABD, ADE \u0914\u0930 AEC \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0928\u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902\u0964 \u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930, BC \u0915\u094b n \u092c\u0930\u093e\u092c\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0915\u0947 \u0914\u0930 \u0907\u0938 \u092d\u0941\u091c\u093e \u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u094b \u0938\u092e\u094d\u092e\u0941\u0916 \u0936\u0940\u0930\u094d\u0937 A \u0938\u0947 \u092e\u093f\u0932\u093e \u0915\u0930 \u0906\u092a \u0907\u0938 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u094b \u092c\u0930\u093e\u092c\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932\u094b\u0902 \u0935\u093e\u0932\u0947 n \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964]<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1842\/29528888997_6695cdc989_o.png?resize=212%2C165&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 2\" width=\"212\" height=\"165\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : \u092d\u0941\u091c\u093e BC \u092a\u0930 D \u0914\u0930 E \u0926\u094b \u092c\u093f\u0928\u094d\u0926\u0941 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u0915\u093f BD = DE = EC \u0939\u0948\u0964<br \/>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 : ar (\u2206ABD) = ar (\u2206ADE) = ar (\u2206AEC)<br \/>\n\u0930\u091a\u0928\u093e : \u0936\u0940\u0930\u094d\u0937 \u0938\u0947 BC \u092a\u0930 \u0936\u0940\u0930\u094d\u0937\u0932\u092e\u094d\u092c AP \u0916\u0940\u0902\u091a\u093e\u0964 \u0909\u092a\u092a\u0924\u094d\u0924\u093f: \u0926\u093f\u092f\u093e \u0939\u0948, BD = DE = EC<br \/>\n\u0924\u0940\u0928\u094b\u0902 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092d\u0940 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f \u0924\u0940\u0928\u094b\u0902 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0939\u0940 \u090a\u0901\u091a\u093e\u0908 AP \u0939\u0948\u0964 \u0924\u092c \u0924\u0940\u0928\u094b\u0902 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092d\u0940 \u0938\u092e\u093e\u0928 \u0939\u094b\u0902\u0917\u0947\u0964<br \/>\n\u0905\u0924\u0903 ar (\u2206ABD) = ar (\u2206ADE) = ar (\u2206AEC)<br \/>\n\u0915\u093f\u0938\u0940 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0906\u0927\u093e\u0930 \u0915\u094b n \u0938\u092e\u093e\u0928 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u0915\u094d\u0924 \u0915\u0930 \u0938\u092e\u094d\u092e\u0941\u0916 \u0936\u0940\u0930\u094d\u0937 \u0938\u0947 \u092e\u093f\u0932\u093e\u0928\u0947 \u092a\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0938\u092e\u093e\u0928 n \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u0915\u094d\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1896\/29528888887_ab1021ac2b_o.png?resize=208%2C167&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 2.1\" width=\"208\" height=\"167\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q3. \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, ABCD, DCFE \u0914\u0930 ABFE \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0902\u0964 \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f<\/strong><br \/>\n<strong>ar (ADE) = ar(BCF) \u0939\u0948\u0964<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1848\/29528889107_2c1c74d149_o.png?resize=220%2C145&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 3\" width=\"220\" height=\"145\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD, \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c DCFE \u0914\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABFE \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0902\u0964<br \/>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 : ar (\u2206ADE) = ar (\u2206BCF)<br \/>\n\u0909\u092a\u092a\u0924\u094d\u0924\u093f : ABCD \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964<br \/>\nAD = BC<br \/>\nDCFE \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964<br \/>\nDE = CF<br \/>\nABFE, \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964<br \/>\nAE = BF<br \/>\n\u0905\u092c \u2206ADE \u0924\u0925\u093e \u2206BCF \u092e\u0947\u0902,<br \/>\nAD = BC<br \/>\nDE = CF (\u0905\u092d\u0940 \u0938\u093f\u0926\u094d\u0927 \u0915\u093f\u092f\u093e \u0939\u0948)<br \/>\nAE = BF<br \/>\n\u2206ADE = \u2206BCF (\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 \/>\nar (\u2206ADE) = ar (\u2206BCF)<\/p>\n<p><strong>Ex 9.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q4. \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, ABCD \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948\u0964 BC \u0915\u094b \u092c\u093f\u0928\u094d\u0926\u0941 \u096f \u0924\u0915 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092c\u0922\u093c\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f AD = CQ \u0939\u0948\u0964 \u092f\u0926\u093f AQ \u092d\u0941\u091c\u093e DC \u0915\u094b P \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 \u0924\u094b \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f ar (BPC) = ar (DPQ) \u0939\u0948\u0964 [\u0938\u0902\u0915\u0947\u0924\u0903 AC \u0915\u094b \u092e\u093f\u0932\u093e\u0907\u090f\u0964]<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1843\/29528889857_0138dfe007_o.png?resize=182%2C225&#038;ssl=1\" alt=\"NCERT Solutions for Class 9 Maths Chapter 9 (Hindi Medium) 9.4 4\" width=\"182\" height=\"225\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1852\/44466701541_18b97986e9_o.png?resize=681%2C384&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 4.1\" width=\"681\" height=\"384\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q5. \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, ABC \u0914\u0930 BDE \u0926\u094b \u0938\u092e\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u0902 \u0915\u093f D \u092d\u0941\u091c\u093e BC \u0915\u093e \u092e\u0927\u094d\u092f-\u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948\u0964 \u092f\u0926\u093f AE \u092d\u0941\u091c\u093e BC \u0915\u094b F \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 \u0924\u094b \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f<\/strong><br \/>\n<strong>(i) ar(\u2206BDE) = \\(\\frac { 1 }{ 4 }\\) ar(\u2206ABC)<\/strong><br \/>\n<strong>(ii) ar(\u2206BDE) = \\(\\frac { 1 }{ 2 }\\) ar(\u2206BAE)<\/strong><br \/>\n<strong>(iii) ar(\u2206ABC) = 2 ar(\u2206BEC)<\/strong><br \/>\n<strong>(iv) ar(\u2206BFE) = ar(\u2206AFD)<\/strong><br \/>\n<strong>(v) ar(\u2206BFE) = 2 ar(\u2206FED)<\/strong><br \/>\n<strong>(vi) ar(\u2206FED) = \\(\\frac { 1 }{ 8 }\\) ar(\u2206AFC)<\/strong><br \/>\n<strong>[\u0938\u0902\u0915\u0947\u0924\u0903 EC \u0914\u0930 AD \u0915\u094b \u092e\u093f\u0932\u093e\u0907\u090f\u0964 \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f BE || AC \u0914\u0930 DE || AB \u0939\u0948, \u0907\u0924\u094d\u092f\u093e\u0926\u093f\u0964]<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1860\/29528891537_5816aabb24_o.png?resize=180%2C215&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 5\" width=\"180\" height=\"215\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902 \u2206ABC \u0914\u0930 \u2206BDE \u0926\u094b \u0938\u092e\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u0902 \u0915\u093f D \u092d\u0941\u091c\u093e BC \u0915\u094b \u092e\u0927\u094d\u092f-\u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948\u0964 \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 AE \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0939\u0948 \u091c\u094b BC \u0915\u094b F \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1868\/29528890287_31f7cf718b_o.png?resize=644%2C689&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 5.1\" width=\"644\" height=\"689\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1881\/29528890517_3fb292bdcd_o.png?resize=671%2C639&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 5.2\" width=\"671\" height=\"639\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1885\/42657515160_f97be3f26a_o.png?resize=672%2C431&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 5.3\" width=\"672\" height=\"431\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1877\/29528890867_3f6ab3d070_o.png?resize=655%2C570&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 5.4\" width=\"655\" height=\"570\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1858\/42657515560_40831b6f28_o.png?resize=647%2C513&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 5.5\" width=\"647\" height=\"513\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q6. \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c ABCD \u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 AC \u0914\u0930 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\u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f<\/strong><br \/>\n<strong>ar (APB) x ar (CPD) = ar (APD) x ar (BPC) \u0939\u0948\u0964<\/strong><br \/>\n<strong>[\u0938\u0902\u0915\u0947\u0924\u0903 A \u0914\u0930 C \u0938\u0947 BD \u092a\u0930 \u0932\u092e\u094d\u092c \u0916\u0940\u0902\u091a\u093f\u090f\u0964]<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1889\/44466701941_7a3eeef960_o.png?resize=686%2C676&#038;ssl=1\" alt=\"NCERT Solutions Class 9 Maths Hindi Medium 9.4 6\" width=\"686\" height=\"676\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q7. P \u0914\u0930 Q \u0915\u094d\u0930\u092e\u0936\u0903 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 AB \u0914\u0930 BC \u0915\u0947 \u092e\u0927\u094d\u092f-\u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948\u0902 \u0924\u0925\u093e R \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 AP \u0915\u093e \u092e\u0927\u094d\u092f-\u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948\u0964 \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f :<\/strong><br \/>\n<strong>(i) ar (\u2206PRQ) = \\(\\frac { 1 }{ 2 }\\) ar (\u2206ARC)<\/strong><br \/>\n<strong>(ii) ar (\u2206RQC) = \\(\\frac { 3 }{ 8 }\\) ar (\u2206ABC)<\/strong><br \/>\n<strong>(iii) ar (\u2206PBQ) = ar (\u2206ARC)<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1868\/29528893107_8960375bae_o.png?resize=183%2C189&#038;ssl=1\" alt=\"Maths NCERT Solutions Class 9 Hindi Medium 9.4 7\" width=\"183\" height=\"189\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948: \u2206ABC\u092e\u0947\u0902 \u092d\u0941\u091c\u093e AB \u0915\u093e \u092e\u0927\u094d\u092f-\u092c\u093f\u0928\u094d\u0926\u0941 P\u0914\u0930 \u092d\u0941\u091c\u093e BC \u0915\u093e \u092e\u0927\u094d\u092f-\u092c\u093f\u0928\u094d\u0926\u0941 Q \u0939\u0948\u0964<br \/>\n\u092c\u093f\u0928\u094d\u0926\u0941 R, \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 AP \u0915\u093e \u092e\u0927\u094d\u092f-\u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948\u0964<br \/>\n\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<br \/>\n(i) ar (PRQ) = \\(\\frac { 1 }{ 2 }\\) ar (ARC)<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1873\/29528892277_c4fa498af9_o.png?resize=644%2C556&#038;ssl=1\" alt=\"Class 9 Maths NCERT Solutions Hindi Medium 9.4 7.1\" width=\"644\" height=\"556\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1875\/29528892627_03e45daac5_o.png?resize=636%2C504&#038;ssl=1\" alt=\"Class 9 Maths NCERT Solutions Hindi Medium 9.4 7.2\" width=\"636\" height=\"504\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1869\/29528892977_ee68c2e106_o.png?resize=463%2C322&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 9 Hindi Medium 9.4 7.3\" width=\"463\" height=\"322\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 9.4 Class 9 \u0917\u0923\u093f\u0924\u00a0Q8. \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, ABC \u090f\u0915 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948\u0964<\/strong><br \/>\n<strong>\u091c\u093f\u0938\u0915\u093e \u0915\u094b\u0923 A \u0938\u092e\u0915\u094b\u0923 \u0939\u0948\u0964 BCED, ACFG \u0914\u0930 ABMN \u0915\u094d\u0930\u092e\u0936\u0903 \u092d\u0941\u091c\u093e\u0913\u0902 BC, CA \u0914\u0930 AB \u092a\u0930 \u092c\u0928\u0947 \u0935\u0930\u094d\u0917 \u0939\u0948\u0902\u0964 \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 AX \u22a5 DE \u092d\u0941\u091c\u093e BC \u0915\u094b \u092c\u093f\u0928\u094d\u0926\u0941 Y \u092a\u0930 \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964 \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f :<\/strong><br \/>\n<strong>(i) \u2206MBC = \u2206ABD<\/strong><br \/>\n<strong>(ii) ar (BYXD) = 2 ar (MBC)<\/strong><br \/>\n<strong>(iii) ar (BYXD) = ar (ABMN)<\/strong><br \/>\n<strong>(iv) \u2206FCB = \u2206ACE<\/strong><br \/>\n<strong>(v) ar (CYXE) = 2 ar (FCB)<\/strong><br \/>\n<strong>(vi) ar (CYXE) = ar (ACFG)<\/strong><br \/>\n<strong>(vii) ar (BCED) = ar (ABMN) + ar (ACFG)<\/strong><br \/>\n<strong>[\u091f\u093f\u092a\u094d\u092a\u0923\u0940\u0903 \u092a\u0930\u093f\u0923\u093e\u092e (vii) \u092a\u094d\u0930\u0938\u093f\u0926\u094d\u0927 (\u0938\u0941\u092a\u0930\u093f\u091a\u093f\u0924) \u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u0940 \u090f\u0915 \u0938\u0930\u0932\u0924\u092e \u0909\u092a\u092a\u0924\u094d\u0924\u093f \u0906\u092a \u0915\u0915\u094d\u0937\u093e X \u092e\u0947\u0902 \u092a\u0922\u093c\u0947\u0902\u0917\u0947]<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1874\/42657518550_d44561c668_o.png?resize=203%2C255&#038;ssl=1\" alt=\"NCERT Class 9 Maths Hindi Medium Solutions 9.4 8\" width=\"203\" height=\"255\" data-recalc-dims=\"1\" \/><br \/>\n<strong>\u0939\u0932-<\/strong><br \/>\n\u0926\u093f\u092f\u093e \u0939\u0948 : \u2206ABC \u092e\u0947\u0902 \u2220A \u0938\u092e\u0915\u094b\u0923 \u0939\u0948\u0964 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 AB, AC \u0924\u0925\u093e BC \u092a\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 ABMN, ACFG \u0914\u0930 BCED \u0935\u0930\u094d\u0917 \u092c\u0928\u0947 \u0939\u0948\u0902\u0964 \u0930\u0947\u0916\u094b\u0916\u0923\u094d\u0921 AX\u0935\u0930\u094d\u0917 BCED \u0915\u0940 \u092d\u0941\u091c\u093e DE \u092a\u0930 \u0932\u092e\u094d\u092c \u0939\u0948, \u091c\u094b BC \u0938\u0947 Y \u092a\u0930 \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964<br \/>\n<strong>\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong><br \/>\n((i) \u2206MBC = \u2206ABD<br \/>\n(ii) ar (BYXD) = 2 ar (MBC)<br \/>\n(iii) ar (BYXD) = ar (ABMN)<br \/>\n(iv) \u2206FCB = \u2206ACE<br \/>\n(v) ar (CYXE) = 2 ar (FCB)<br \/>\n(vi) ar (CYXE) = ar (ACFG)<br \/>\n(vii) ar (BCED) = ar (ABMN) + ar (ACFG)<br \/>\n<strong>\u0909\u092a\u092a\u0924\u094d\u0924\u093f:<\/strong><br \/>\n(i) ABMN \u090f\u0915 \u0935\u0930\u094d\u0917 \u0939\u0948\u0964<br \/>\n\u2206MBC ,<br \/>\n\u2220MBC = 90\u00b0 + \u2220B<br \/>\n\u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u2206ABD \u092e\u0947\u0902,<br \/>\n\u2220ABD = 90\u00b0 + \u2220B<br \/>\n\u2206MBC \u0914\u0930 \u2206ABD \u092e\u0947\u0902,<br \/>\n\u2220MBC = \u2220ABD<br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1843\/44417041312_6b40d0b406_o.png?resize=678%2C590&#038;ssl=1\" alt=\"NCERT Maths Class 9 Hindi Medium Solutions 9.4 8.1\" width=\"678\" height=\"590\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1860\/42657518040_c25f9187df_o.png?resize=680%2C306&#038;ssl=1\" alt=\"NCERT Solutions For Maths Class 9 Hindi Medium 9.4 8.2\" width=\"680\" height=\"306\" data-recalc-dims=\"1\" \/><\/p>\n<p>Hope given NCERT Solutions for Class 9 Maths Chapter 9 are helpful to complete your homework.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (\u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0914\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932) (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 9 Area of Parallelograms and Triangles. \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 9.1 Ex &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-hindi\/\"> <span class=\"screen-reader-text\">NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium)<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":9,"featured_media":7725,"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 9 Area of \u200b\u200bParallelograms and Triangles (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-9-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 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium) - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (\u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0914\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932) (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 9 Area of Parallelograms and Triangles. \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 9.1 Ex &hellip; NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium) Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-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=\"2021-07-23T04:41:02+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-07-23T12:34:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-9-Area-of-\u200b\u200bParallelograms-and-Triangles-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=\"8 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-9-hindi\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i0.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-9-Area-of-\\u200b\\u200bParallelograms-and-Triangles-Hindi-Medium.png?fit=1280%2C720&ssl=1\",\"contentUrl\":\"https:\/\/i0.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-9-Area-of-\\u200b\\u200bParallelograms-and-Triangles-Hindi-Medium.png?fit=1280%2C720&ssl=1\",\"width\":1280,\"height\":720,\"caption\":\"NCERT Solutions for Class 9 Maths Chapter 9 Area of \\u200b\\u200bParallelograms and Triangles (Hindi Medium)\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-hindi\/#webpage\",\"url\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-hindi\/\",\"name\":\"NCERT Solutions for Class 9 Maths Chapter 9 Area of \\u200b\\u200bParallelograms and Triangles (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-9-hindi\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium) - NCERT Solutions","og_description":"NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (\u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0914\u0930 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932) (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 9 Area of Parallelograms and Triangles. \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 9.1 Ex &hellip; NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium) Read More &raquo;","og_url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-hindi\/","og_site_name":"NCERT Solutions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-07-23T04:41:02+00:00","article_modified_time":"2021-07-23T12:34:04+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-9-Area-of-\u200b\u200bParallelograms-and-Triangles-Hindi-Medium.png","path":"\/home\/412375.cloudwaysapps.com\/bmvvpkvjjm\/public_html\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-9-Area-of-\u200b\u200bParallelograms-and-Triangles-Hindi-Medium.png","size":"full","id":7725,"alt":"NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (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":"8 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-9-hindi\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i0.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-9-Area-of-\u200b\u200bParallelograms-and-Triangles-Hindi-Medium.png?fit=1280%2C720&ssl=1","contentUrl":"https:\/\/i0.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-9-Maths-Chapter-9-Area-of-\u200b\u200bParallelograms-and-Triangles-Hindi-Medium.png?fit=1280%2C720&ssl=1","width":1280,"height":720,"caption":"NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium)"},{"@type":"WebPage","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-hindi\/#webpage","url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-9-hindi\/","name":"NCERT Solutions for Class 9 Maths Chapter 9 Area of \u200b\u200bParallelograms and Triangles (Hindi Medium) - 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