{"id":5020,"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-5-2\/"},"modified":"2018-06-18T12:00:08","modified_gmt":"2018-06-18T06:30:08","slug":"ncert-solutions-class-9-maths-exercise-5-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-5-2\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Exercise 5.2"},"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-5-2\/#NCERT_Solutions_for_Class_9_Mathematics_Introduction_to_Euclids_Geometry\" >NCERT Solutions for Class 9 Mathematics\u00a0Introduction to Euclids Geometry<\/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-5-2\/#1_How_would_you_rewrite_Euclids_fifth_postulate_so_that_it_would_be_easier_to_understand\" >1. How would you rewrite Euclid\u2019s fifth postulate so that it would be easier to understand?<\/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-5-2\/#2_Does_Euclids_fifth_postulate_imply_the_existence_of_parallel_lines_Explain\" >2. Does Euclid\u2019s fifth postulate imply the existence of parallel lines? Explain.<\/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-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-5-2\/#NCERT_Solutions_for_Class_9_Maths_Exercise_52\" >NCERT Solutions for Class 9 Maths Exercise 5.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-5-2\/#CBSE_app_for_Class_9\" >CBSE app for Class 9<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 9 Maths Exercise 5.2 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\u00a0<\/strong><strong>Introduction to Euclids Geometry\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics-introduction-to-euclids-geometry\/1239\/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 5.2\" width=\"161\" height=\"208\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Mathematics_Introduction_to_Euclids_Geometry\"><\/span>NCERT Solutions for Class 9 Mathematics\u00a0Introduction to Euclids Geometry<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_How_would_you_rewrite_Euclids_fifth_postulate_so_that_it_would_be_easier_to_understand\"><\/span><strong>1. How would you rewrite Euclid\u2019s fifth postulate so that it would be easier to understand?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>We need to rewrite Euclid\u2019s fifth postulate so that it is easier to understand.<\/p>\n<p style=\"text-align: justify;\">We know that Euclid\u2019s fifth postulate states that \u201cNo intersection of lines will take place when the sum of the measures of the interior angles on the same side of the falling line is exactly 180\u00b0.\u201d<\/p>\n<p style=\"text-align: justify;\">We know that Play fair\u2019s axiom states that \u201cFor every line <em>l<\/em> and for every point <em>P<\/em> not lying on l, there exists a unique line m passing through <em>P<\/em> and parallel to <em>l<\/em>\u201d.<\/p>\n<p style=\"text-align: justify;\">The above mentioned Play fair\u2019s axiom is easier to understand in comparison to the Euclid\u2019s fifth postulate.<\/p>\n<p style=\"text-align: justify;\">Let us consider a line <em>l<\/em> that passes through a point <em>p<\/em> and another line <em>m<\/em>. Let these lines be at a same plane.<\/p>\n<p style=\"text-align: justify;\">Let us consider the perpendicular <em>CD<\/em> on <em>l<\/em> and <em>FE<\/em> on <em>m<\/em>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 15\" style=\"height: 139px; width: 350px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch05\/Ex5.2\/image001.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">From the above figure, we can conclude that <em>CD<\/em> = <em>EF<\/em>.<\/p>\n<p style=\"text-align: justify;\">Therefore, we can conclude that the perpendicular distance between lines <em>m<\/em> and <em>l<\/em> will be constant throughout, and the lines <em>m<\/em> and <em>l<\/em> will never meet each other or in other words, we can say that the lines <em>m<\/em> and <em>l<\/em> are equidistant from each other.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 5.2<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Does_Euclids_fifth_postulate_imply_the_existence_of_parallel_lines_Explain\"><\/span><strong>2. Does Euclid\u2019s fifth postulate imply the existence of parallel lines? Explain.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>We need to verify whether Euclid\u2019s fifth postulate imply the existence of parallel lines or not.<\/p>\n<p style=\"text-align: justify;\">The answer to the above statement is Yes.<\/p>\n<p style=\"text-align: justify;\">Let us consider two lines <em>m<\/em> and <em>l<\/em>.<\/p>\n<p style=\"text-align: justify;\">In the figure given below, we can conclude that the lines <em>m<\/em> and <em>l<\/em> will intersect further.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 14\" style=\"height: 120px; width: 220px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch05\/Ex5.2\/image002.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">From the figure, we can conclude that<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch05\/Ex5.2\/image003.png\" \/>and <img decoding=\"async\" style=\"height: 22px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch05\/Ex5.2\/image004.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that Euclid\u2019s fifth postulate states that \u201cNo intersection of lines will take place when the sum of the measures of the interior angles on the same side of the falling line is exactly 180\u00b0.\u201d<\/p>\n<p style=\"text-align: justify;\">Let us consider lines <em>l<\/em> and <em>m<\/em>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 18\" style=\"height: 151px; width: 205px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch05\/Ex5.2\/image005.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">From the above figure, we can conclude that lines <em>l<\/em> and <em>m<\/em> will never intersect from either side.<\/p>\n<p style=\"text-align: justify;\">Therefore, we can conclude that the lines <em>l<\/em> and <em>m<\/em> are parallel.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Exercise_52\"><\/span>NCERT Solutions for Class 9 Maths Exercise 5.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for 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 5.2 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 5.2\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-5-2\/\" aria-label=\"More on NCERT Solutions for Class 9 Maths Exercise 5.2\">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-5020","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 5.2 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 9 Maths Exercise 5.2 in PDF format for free download. 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