Question 1.<\/strong> Find the area of the triangle whose vertices are: \n(i) (2, 3), (-1, 0), (2, -4) \n(ii) (-5, -1), (3, -5), (5, 2)<\/p>\nSolution: \n \n<\/strong><\/p>\n <\/p>\n
Question 2.<\/strong> In each of the following find the value of \u2018k<\/em>\u2018, for which the points are collinear. \n(i) (7, -2), (5, 1), (3, \u2013k<\/em>) \n(ii) (8, 1), (k<\/em>, -4), (2, -5)<\/p>\nSolution: \n \n<\/strong><\/p>\nConcept Insight: Only three non collinear points can give a triangle.<\/p>\n
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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>\nSolution: \n<\/strong> <\/strong>Let vertices of the triangle be A (0, \u20131), B (2, 1), C (0, 3) \nLet D, E, F are midpoints of the sides of this triangle. Coordinates of D, E, and F are given by \u2013 \n <\/p>\nQuestion 4.<\/strong> Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).<\/p>\nSolution: \n<\/strong> \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 \n <\/p>\nConcept Insight: Join either point A & C or B & D (not both) Compute Area of triangle separately & then add.<\/p>\n
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>\nSolution: \n<\/strong> \nLet vertices of the triangle be A (4, \u2014 6), B (3, \u2014 2), C (5, 2) \nLet D be the midpoint of side BC of \u2206ABC. So AD is the median in \u2206ABC, \n \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>\n
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":"
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 … Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6805],"tags":[36685],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 A Plus Topper.com<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n