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# Class 10 NCERT Solutions Maths Chapter 7 - Coordinate Geometry

## Coordinate Geometry Exercise Ex. 7.1

### 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 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.

## Coordinate Geometry Exercise Ex. 7.2

### 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.