{"id":34690,"date":"2018-12-26T10:58:53","date_gmt":"2018-12-26T10:58:53","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=34690"},"modified":"2020-11-27T15:29:11","modified_gmt":"2020-11-27T09:59:11","slug":"ncert-solutions-for-class-10-maths-chapter-7-ex-7-3","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths-chapter-7-ex-7-3\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3"},"content":{"rendered":"<p>NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 7 <strong>Coordinate Geometry\u00a0Class 10 NCERT Solutions Ex 7.3.<\/strong><\/p>\n<ul>\n<li><a title=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1\" href=\"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths-chapter-7\/\" target=\"_blank\" rel=\"noopener\">Coordinate Geometry Class 10 Ex 7.1<\/a><\/li>\n<li><a title=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2\" href=\"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths-chapter-7-ex-7-2\/\" target=\"_blank\" rel=\"noopener\">Coordinate Geometry Class 10 Ex 7.2<\/a><\/li>\n<li><a title=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4\" href=\"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths-chapter-7-ex-7-4\/\" target=\"_blank\" rel=\"noopener\">Coordinate Geometry Class 10 Ex 7.4<\/a><\/li>\n<\/ul>\n<table style=\"table-layout: fixed; width: 650px;\" border=\"1\">\n<tbody>\n<tr>\n<td><strong>Board<\/strong><\/td>\n<td>CBSE<\/td>\n<\/tr>\n<tr>\n<td><strong>Textbook<\/strong><\/td>\n<td>NCERT<\/td>\n<\/tr>\n<tr>\n<td><strong>Class<\/strong><\/td>\n<td>Class 10<\/td>\n<\/tr>\n<tr>\n<td><strong>Subject<\/strong><\/td>\n<td>Maths<\/td>\n<\/tr>\n<tr>\n<td><strong>Chapter<\/strong><\/td>\n<td>Chapter 7<\/td>\n<\/tr>\n<tr>\n<td><strong>Chapter Name<\/strong><\/td>\n<td>Coordinate Geometry<\/td>\n<\/tr>\n<tr>\n<td><strong>Exercise<\/strong><\/td>\n<td>Ex 7.3<\/td>\n<\/tr>\n<tr>\n<td><strong>Number of Questions Solved<\/strong><\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td><strong>Category<\/strong><\/td>\n<td>NCERT Solutions<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3<\/h2>\n<p><a class=\"button-red\" href=\"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths\/\">NCERT Solutions for Class 10 Maths<\/a><\/p>\n<p>Page No: 170<br \/>\n<strong>Question 1.<\/strong> Find the area of the triangle whose vertices are:<br \/>\n(i) (2, 3), (-1, 0), (2, -4)<br \/>\n(ii) (-5, -1), (3, -5), (5, 2)<\/p>\n<p><strong>Solution:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101038\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-28.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 28\" width=\"541\" height=\"321\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-28.png 541w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-28-300x178.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><br \/>\n<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101039\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-29.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 29\" width=\"628\" height=\"249\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-29.png 628w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-29-300x119.png 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><\/p>\n<p><strong>Question 2.<\/strong> In each of the following find the value of \u2018<em>k<\/em>\u2018, for which the points are collinear.<br \/>\n(i) (7, -2), (5, 1), (3, \u2013<em>k<\/em>)<br \/>\n(ii) (8, 1), (<em>k<\/em>, -4), (2, -5)<\/p>\n<p><strong>Solution:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101041\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-30.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 30\" width=\"482\" height=\"306\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-30.png 482w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-30-300x190.png 300w\" sizes=\"(max-width: 482px) 100vw, 482px\" \/><br \/>\n<\/strong><\/p>\n<p>Concept Insight: Only three non collinear points can give a triangle.<\/p>\n<div style=\"clear: both; margin-top: 0em; margin-bottom: 1em;\"><\/div>\n<p><strong>Question 3.<\/strong> Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.<\/p>\n<p><strong>Solution:<br \/>\n<\/strong><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101045\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-31.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 31\" width=\"181\" height=\"142\" \/><\/strong>Let vertices of the triangle be A (0, \u20131), B (2, 1), C (0, 3)<br \/>\nLet D, E, F are midpoints of the sides of this triangle. Coordinates of D, E, and F are given by \u2013<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101046\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-32.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 32\" width=\"450\" height=\"365\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-32.png 450w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-32-300x243.png 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/p>\n<p><strong>Question 4.<\/strong> Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).<\/p>\n<p><strong>Solution:<br \/>\n<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101047\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-33.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 33\" width=\"465\" height=\"133\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-33.png 465w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-33-300x86.png 300w\" sizes=\"(max-width: 465px) 100vw, 465px\" \/><br \/>\nLet vertices of the quadrilateral be A (\u2014 4, \u20142), 5 (\u20143, \u20145), C (3, \u20142) and D (2, 3). Join AC to form two triangles \u2206ABC and \u2206ACD<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101048\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-34.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 34\" width=\"519\" height=\"268\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-34.png 519w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-34-300x155.png 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><\/p>\n<p>Concept Insight: Join either point A &amp; C or B &amp; D (not both) Compute Area of triangle separately &amp; then add.<\/p>\n<p><strong>Question 5.\u00a0<\/strong>A median of a triangle divides it into two triangles of equal areas. Verify this result for \u0394ABC whose vertices are A (4, \u2013 6), B (3, \u2013 2) and C (5, 2).<\/p>\n<p><strong>Solution:<br \/>\n<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101049\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-35.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 35\" width=\"448\" height=\"213\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-35.png 448w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-35-300x143.png 300w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><br \/>\nLet vertices of the triangle be A (4, \u2014 6), B (3, \u2014 2), C (5, 2)<br \/>\nLet D be the midpoint of side BC of \u2206ABC. So AD is the median in \u2206ABC,<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101050\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-36.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 36\" width=\"504\" height=\"290\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-36.png 504w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-10-Maths-Chapter-7-Coordinate-Geometry-36-300x173.png 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><br \/>\nBut area can not be negative. So area of \u2206ADC is 3 square units. Clearly median AD has divided \u2206ABC in two triangles of equal areas.<\/p>\n<p>&nbsp;<\/p>\n<p>We hope the NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 7 Coordinate Geometry\u00a0Class 10 NCERT Solutions Ex 7.3. Coordinate Geometry Class 10 Ex 7.1 Coordinate Geometry Class 10 Ex 7.2 Coordinate Geometry Class 10 Ex 7.4 Board CBSE [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[6805],"tags":[36685],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v17.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 A Plus Topper.com<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 helpful to finish your Home Work. 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