{"id":3419,"date":"2022-12-16T04:31:45","date_gmt":"2022-12-16T04:31:45","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3419"},"modified":"2023-01-31T06:49:59","modified_gmt":"2023-01-31T06:49:59","slug":"ncert-solutions-class-8-maths-chapter-15-introduction-to-graphs-ex-15-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-15-introduction-to-graphs-ex-15-2\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 15 (Introduction to Graphs)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 8 Mathematics <strong>Chapter &#8211; 15 Introduction to Graphs <\/strong>Exercise 15.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 15: Introduction to Graphs<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-15-introduction-to-graphs-ex-15-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 15.1<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-15-introduction-to-graphs-ex-15-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 15.3<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 15.2<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Plot the following points on a graph sheet. Verify if they lie on a line<br \/>\n<\/strong><strong>(a)<\/strong> A(4,0), B(4, 2),C(4,6), D(4, 2.5)<br \/>\n<strong>(b)<\/strong> P(1, 1), Q(2, 2), R(3,3), S(4, 4)<br \/>\n<strong>(c)<\/strong> K(2, 3), L(5, 3), M(5,5), N(2, 5)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Plot all the points on the graph.<br \/>\n<strong>(a)<\/strong> All points A,B, C and D lie on a vertical line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3478\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1a.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"340\" height=\"312\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1a.png 492w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1a-300x275.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1a-480x440.png 480w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b)<\/strong> P,Q, R and S points also make a line. It verifies that these points lie on a line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3479\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1b.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"414\" height=\"366\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1b.png 524w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1b-300x265.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1b-480x424.png 480w\" sizes=\"auto, (max-width: 414px) 100vw, 414px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(c)<\/strong> Points K, L, M and N. These points do not lie in a straight line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3480\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1c.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"452\" height=\"401\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1c.png 506w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1c-300x266.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-1c-480x426.png 480w\" sizes=\"auto, (max-width: 452px) 100vw, 452px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Draw the line passing through (2,3) and (3,2). Find the coordinates of the points at which this line meets the x-axis and y-axis.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Graph for the Line passes through points (2, 3) and (3, 2) is:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3481\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-2.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"399\" height=\"368\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-2.png 495w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-2-300x277.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-2-480x443.png 480w\" sizes=\"auto, (max-width: 399px) 100vw, 399px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">The coordinates of the points at which this line meets the x-axis at (5, 0) and Y axis at (0,5).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Write the coordinates of the vertices of each of these adjoining figures.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3482\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-3.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"501\" height=\"488\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-3.png 501w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-3-300x292.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/12\/NCERT-Solutions-Class-8-Maths-Ex-15.2-Q-3-480x468.png 480w\" sizes=\"auto, (max-width: 501px) 100vw, 501px\" \/><br \/>\n<\/strong><strong>Solution &#8211; <\/strong>We can observe three figures named as, OABC, PQRS and LMK.<br \/>\nThe coordinates of the vertices in the given figure are as follows. <\/span><br \/>\n<span style=\"color: #000000;\">O(0, 0), A(2, 0), B(2, 3), C(0, 3) <\/span><br \/>\n<span style=\"color: #000000;\">P(4, 3), Q(6, 1), R(6, 5), S(4, 7) <\/span><br \/>\n<span style=\"color: #000000;\">K(10, 5), L(7, 7), M(10, 8)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. State whether True or False. Correct that are false.<br \/>\n<\/strong><strong>(i)<\/strong> A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.<br \/>\n<strong>(ii)<\/strong> A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.<br \/>\n<strong>(iii)<\/strong> The co-ordinates of the origin are (0, 0).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis. <strong>(True)<\/strong><br \/>\n<strong>(ii)<\/strong> A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis. <strong>(False)<\/strong><br \/>\n<strong>(iii)<\/strong> The co-ordinates of the origin are (0, 0). <strong>(True)<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" 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palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 15 (Introduction to Graphs)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 15 Introduction to Graphs Exercise 15.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 15: Introduction to Graphs NCERT Solution Class 8 Maths Ex [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[472,473,445,5],"class_list":["post-3419","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-15-introduction-to-graphs-in-english","tag-ncert-solutions-class-8-maths-chapter-15-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.2 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 15 (Introduction to Graphs)\u00a0The NCERT Solutions in English Language for Class 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