NCERT Solutions for CBSE Class 10 Mathematics chapter 7 - Coordinate Geometry

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Chapter 7 - Coordinate Geometry Excercise Ex. 7.1

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Solution 2

Solution 3
Solution 4
Solution 5
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 Excercise 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


Solution 7
Solution 8

 

Solution 9
Solution 10


Chapter 7 - Coordinate Geometry Excercise 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 Excercise Ex. 7.4

Solution 1

 

Solution 2
Solution 3


Solution 4


Solution 5


Solution 6

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