{"id":4977,"date":"2016-05-19T11:49:00","date_gmt":"2016-05-19T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/"},"modified":"2018-06-16T16:32:17","modified_gmt":"2018-06-16T11:02:17","slug":"ncert-solutions-class-9-maths-exercise-1-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Exercise 1.2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#NCERT_Solutions_for_Class_9_Maths_Number_Systems\" >NCERT Solutions for Class 9 Maths Number Systems<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#1_State_whether_the_following_statements_are_true_or_false_Justify_your_answers\" >1. State whether the following statements are true or false. Justify your answers.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#i_Every_irrational_number_is_a_real_number\" >(i) Every irrational number is a real number.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#ii_Every_point_on_the_number_line_is_of_the_form_where_m_is_a_natural_number\" >(ii) Every point on the number line is of the form, where m is a natural number.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#iii_Every_real_number_is_an_irrational_number\" >(iii) Every real number is an irrational number.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#2_Are_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\" >2. Are 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.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#3_Show_how_can_be_represented_on_the_number_line\" >3. Show how can be represented on the number line.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#NCERT_Solutions_for_Class_9_Maths_Exercise_12\" >NCERT Solutions for Class 9 Maths Exercise 1.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/#CBSE_app_for_Class_9\" >CBSE app for Class 9<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 9 Maths Exercise 1.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 9 Maths\u00a0Number Systems\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics-number-systems\/1235\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/09_Class_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 9 Maths Exercise 1.2\" width=\"170\" height=\"219\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Number_Systems\"><\/span>NCERT Solutions for Class 9 Maths Number Systems<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_State_whether_the_following_statements_are_true_or_false_Justify_your_answers\"><\/span><strong>1. State whether the following statements are true or false. Justify your answers.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"i_Every_irrational_number_is_a_real_number\"><\/span><strong>(i) Every irrational number is a real number.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"ii_Every_point_on_the_number_line_is_of_the_form_where_m_is_a_natural_number\"><\/span><strong>(ii) Every point on the number line is of the form<img decoding=\"async\" style=\"height: 24px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image001.png\" \/>, where <em>m <\/em>is a natural number.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"iii_Every_real_number_is_an_irrational_number\"><\/span><strong>(iii) Every real number is an irrational number.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> Consider the irrational numbers and the real numbers separately.<\/p>\n<p style=\"text-align: justify;\">We know that irrational numbers are the numbers that cannot be converted in the form<img decoding=\"async\" style=\"height: 44px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image002.png\" \/>, where <em>p<\/em> and <em>q <\/em>are integers and<img decoding=\"async\" style=\"height: 21px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image003.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We know that a real number is the collection of rational numbers and irrational numbers.<\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that, yes every irrational number is a real number.<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> Consider a number line. We know that on a number line, we can represent negative as well as positive numbers.<\/p>\n<p style=\"text-align: justify;\">We know that we cannot get a negative number after taking square root of any number.<\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that not every number point on the number line is of the form<img decoding=\"async\" style=\"height: 24px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image001.png\" \/>, where <em>m<\/em> is a natural number.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong> Consider the irrational numbers and the real numbers separately.<\/p>\n<p style=\"text-align: justify;\">We know that irrational numbers are the numbers that cannot be converted in the form<img decoding=\"async\" style=\"height: 44px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image002.png\" \/>, where <em>p<\/em> and <em>q <\/em>are integers and<img decoding=\"async\" style=\"height: 21px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image003.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We know that a real number is the collection of rational numbers and irrational numbers.<\/p>\n<p style=\"text-align: justify;\">So, we can conclude that every irrational number is a real number. But every real number is not an irrational number.<\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that, every real number is not a rational number.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 1.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Are_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\"><\/span><strong>2. Are 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.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>We know that square root of every positive integer will not yield an integer.<\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 23px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image004.png\" \/> is 2, which is an integer. But,<img decoding=\"async\" style=\"height: 24px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image005.png\" \/>will give an irrational number.<\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that square root of every positive integer is not an irrational number.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 1.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_Show_how_can_be_represented_on_the_number_line\"><\/span><strong>3. Show how <img decoding=\"async\" style=\"height: 24px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image006.png\" \/>can be represented on the number line.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>According to the Pythagoras theorem, we can conclude that<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 36px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image007.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to draw a line segment <em>AB<\/em> of 1 unit on the number line. Then draw a straight line segment <em>BC<\/em> of 2 units. Then join the points <em>C<\/em> and <em>A<\/em>, to form a line segment <em>BC<\/em>.<\/p>\n<p style=\"text-align: justify;\">Then draw the arc <em>ACD<\/em>, to get the number<img decoding=\"async\" style=\"height: 24px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image006.png\" \/>on the number line.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 1\" style=\"height: 226px; width: 399px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch01\/Ex1.2\/image008.png\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Exercise_12\"><\/span>NCERT Solutions for Class 9 Maths Exercise 1.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 9 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 9 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. 9 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 9 solutions PDF and Maths ncert class 9 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_9\"><\/span>CBSE app for Class 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 9 Maths, Computer Science, Home Science,Hindi ,English, Social Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 9 Maths Exercise 1.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter &#8230; <a title=\"NCERT Solutions for Class 9 Maths Exercise 1.2\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-1-2\/\" aria-label=\"More on NCERT Solutions for Class 9 Maths Exercise 1.2\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1376,281],"tags":[283,1344,321,1485,216],"class_list":["post-4977","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-09","category-ncert-solutions","tag-cbse-study-material","tag-class-9","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 9 Maths Exercise 1.2 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 9 Maths Exercise 1.2 in PDF format for free download. 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