# NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

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## Chapter 7 - Coordinate Geometry Exercise Ex. 7.1

Solution 1 Solution 2 In section 7.2, A is (4,0) and B is (6,0).

AB= (6 - 4)2 - (0 - 0) = 4

AB = 2

Solution 3 Solution 4

Three non collinear points will represent the vertices of an isosceles triangle, if its two sides are of equal length. Solution 5

From the figure coordinates of points A, B, C and D are

A = (3, 4), B = (6, 7), C = (9, 4), D = (6, 1) Solution 6 Here all sides of this quadrilateral are of different length. So, we can say that it is only a general quadrilateral not specific like square, rectangle etc.

(iii)    Let A = (4, 5), B = (7, 6), C = (4, 3), D = (1, 2) Here opposite sides of this quadrilateral are of same length but diagonals are of different length. So, given points are vertices of a parallelogram.

Concept Insight: Recall the properties of various quadrilaterals.

Solution 7 Solution 8 Solution 9 Solution 10 ## Chapter 7 - Coordinate Geometry Exercise Ex. 7.2

Solution 1 Solution 2  Solution 3 Solution 4 Solution 5

If the ratio in which P divides AB is k:1 , then the co-ordinates of the point P will be  Solution 6 Concept Insight:

Use the property of a parallelogram that the diagonals of a Parallelogram bisects each other for finding the values of a and y.

Solution 7 Solution 8  Solution 9 Solution 10  ## Chapter 7 - Coordinate Geometry Exercise Ex. 7.3

Solution 1  Solution 2 Solution 3 Let vertices of the triangle be A (0, –1), B (2, 1), C (0, 3)

Let D, E, F are midpoints of the sides of this triangle. Coordinates of D, E, and F are given by – Solution 4 Solution 5  ## Chapter 7 - Coordinate Geometry Exercise Ex. 7.4

Solution 1  Solution 2 Solution 3  Solution 4  Solution 5  Solution 6  So, D and E are two points on side AB and AC respectively such that they divide side AB and AC in the ratio 1:3

Coordinates of the point P(x,y) which divides the line segment joining the points points A(x1,y1) and B(x2,y2) internally in the ratio m1:m2 are  Solution 7   Note:
Coordinates of the point P(x,y) which divides the line segment joining the points points A(x1,y1) and B(x2,y2) internally in the ratio m1:m2 are Solution 8  CONTACT :
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