NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

Refer to TopperLearning’s NCERT Solutions for CBSE Class 10 Mathematics Chapter 7 Coordinate Geometry to score top marks in the exam. Learn to use the given information on the vertices and diagonals of a figure to answer questions on the figure. Go through the solutions to understand how to find the distance between two points as per the given data. 

Get the best CBSE Class 10 study resources to master Maths concepts such as properties of a parallelogram, properties of a rhombus etc. For complete revision of the Mathematics syllabus, you can brush up on concepts using our sample papers, past years’ question papers and other resources.

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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