{"id":24554,"date":"2021-06-19T10:06:34","date_gmt":"2021-06-19T04:36:34","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=24554"},"modified":"2021-06-19T12:30:36","modified_gmt":"2021-06-19T07:00:36","slug":"ncert-solutions-for-class-9-maths-chapter-1-ex-1-2","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2"},"content":{"rendered":"

These NCERT Solutions for Class 9 Maths<\/a> Chapter 1 Number Systems Ex 1.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.2<\/h2>\n

Question 1.
\nState whether the following statements are true or false. Justify your answer.
\n(i) Every irrational number is a real number.
\n(ii) Every point on the number line is of the form \u221am where m is a natural number.
\n(iii) Every real number is an irrational number.
\nSolution:
\n(i) True, because the set of every rational and every irrational number is called real number.
\n(ii) False, no negative number can be the square root of any natural number.
\n(iii) False, because a real number is the set of every irrational and rationed number. For example, 2 is real but not irrational.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nAre the square roots of all positive integers irrational? If not give an example of the square root of a number that is a rational number.
\nSolution:
\nNo, the square roots of all positive integers are not always irrational.
\nFor e.g. 4 is a positive integer and the value of their square root is 2. Which is a rational number.<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nShow how \u221a5 can be represented on the number line.
\nSolution:
\nTo represent \u221a5 on the number line, taking O at zero on the number line.
\nAgain taking OA = 2 unit in the positive direction of the number line.
\nAgain draw BA \u22a5 OA and the length of BA = 1 unit.
\nJoin BO and complete a right-angle \u2206OAB.
\nNow, the length of BO = \u221a5 (by Pythagoras theorem).
\nAgain we take OB as a radius and draw a circle which cuts the number line at C.
\nTherefore, the length of OC is also equal to \u221a5.
\nHence point C is the required point on the number line.
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nClassroom activity (Constructing the ‘square root spiral’).
\nTake a large sheet of paper and construct the ‘square spiral’ in the following fashion. Start with a point O and draw a line segment P1<\/sub>P2<\/sub> perpendicular to OP1<\/sub> of unit length (see Fig. 1.2). Now draw a line segment P2<\/sub>P3<\/sub> perpendicular to OP2<\/sub>. Then draw a line segment P3<\/sub>P4<\/sub> perpendicular to OP3<\/sub>. Continuing in this manner, you can get the line segment Pn-1<\/sub>Pn<\/sub> by drawing a line segment of unit length perpendicular to OPn-1<\/sub>. In this manner, you will have created the points P2<\/sub>, P3<\/sub>…, Pn<\/sub>…, and joined them to create a beautiful spiral depicting \u221a2, \u221a3, \u221a4……
\n\"NCERT
\nFig. Constructing square root spiral.
\nSolution:
\nFor self-practice.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.2 Question 1. State whether the following statements are true or false. Justify your answer. (i) Every irrational number is …<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"yoast_head":"\nNCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 - 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-1-ex-1-2\/\" \/>\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 1 Number Systems Ex 1.2 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.2 Question 1. State whether the following statements are true or false. Justify your answer. (i) Every irrational number is … NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/\" \/>\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=\"2021-06-19T04:36:34+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-06-19T07:00:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\" \/>\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=\"3 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-1-ex-1-2\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"width\":170,\"height\":17,\"caption\":\"NCERT Solutions\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#webpage\",\"url\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/\",\"name\":\"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 - NCERT Solutions\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#primaryimage\"},\"datePublished\":\"2021-06-19T04:36:34+00:00\",\"dateModified\":\"2021-06-19T07:00:36+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/ncertsolutions.guru\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#webpage\"},\"author\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\"},\"headline\":\"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2\",\"datePublished\":\"2021-06-19T04:36:34+00:00\",\"dateModified\":\"2021-06-19T07:00:36+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#webpage\"},\"wordCount\":414,\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\",\"articleSection\":[\"CBSE Class 9\"],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/ncertsolutions.guru\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 - 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-1-ex-1-2\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 - NCERT Solutions","og_description":"These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.2 Question 1. State whether the following statements are true or false. Justify your answer. (i) Every irrational number is … NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 Read More »","og_url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/","og_site_name":"NCERT Solutions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-06-19T04:36:34+00:00","article_modified_time":"2021-06-19T07:00:36+00:00","og_image":[{"url":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"3 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-1-ex-1-2\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","width":170,"height":17,"caption":"NCERT Solutions"},{"@type":"WebPage","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#webpage","url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/","name":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 - NCERT Solutions","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/#website"},"primaryImageOfPage":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#primaryimage"},"datePublished":"2021-06-19T04:36:34+00:00","dateModified":"2021-06-19T07:00:36+00:00","breadcrumb":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/ncertsolutions.guru\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2"}]},{"@type":"Article","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#article","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#webpage"},"author":{"@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3"},"headline":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2","datePublished":"2021-06-19T04:36:34+00:00","dateModified":"2021-06-19T07:00:36+00:00","mainEntityOfPage":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#webpage"},"wordCount":414,"publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"image":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-2\/#primaryimage"},"thumbnailUrl":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png","articleSection":["CBSE Class 9"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/ncertsolutions.guru\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/24554"}],"collection":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/comments?post=24554"}],"version-history":[{"count":0,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/24554\/revisions"}],"wp:attachment":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/media?parent=24554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/categories?post=24554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/tags?post=24554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}