NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

Page / Exercise

Chapter 7 - Coordinate Geometry Exercise Ex. 7.1

Solution 1
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 2

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

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

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

AB = 2

Solution 3
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 4

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

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry


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)

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 6

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

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)

 

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

 

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
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 8
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 9
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 10
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Chapter 7 - Coordinate Geometry Exercise Ex. 7.2

Solution 1
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 2
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 3
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 4
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 5

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

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

 

 

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 6

 

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

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
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 8

 Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 9
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 10
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Chapter 7 - Coordinate Geometry Exercise Ex. 7.3

Solution 1
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 2

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 3

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

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 –

 Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry



Solution 4
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 5
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Chapter 7 - Coordinate Geometry Exercise Ex. 7.4

Solution 1

 Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 2
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 3
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 4

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry


Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 5
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Solution 6

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry     

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

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

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

 

 Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 7

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry
 
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
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Solution 8
Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry

Ncert Solutions Cbse Class 10 Mathematics Chapter - Coordinate Geometry