Class X NCERT Maths Exercise-7.2 Coordinate Geometry,

NCERT Maths Solution Class-10 

Coordinate geometry 

This is the solutions of Class 10th Math of CBSE English Medium schools.

Exercise -7.2

Question 1:

Find the coordinates of the point which divides the join of (− 1, 7) and (4, − 3) in the ratio 2:3.

Sol.

 

Question 2:

Find the coordinates of the points of trisection of the line segment joining (4,−1) and (−2,−3).

Sol.

 

 

Sol.

Question 4:

Find the ratio in which the line segment joining the points (−3,10) and (6,−8) is divided by (−1, 6).

Sol.

 

Question 5:

Find the ratio in which the line segment joining A(1,−5) and B(−4,5) is divided by the x-axis. Also find the coordinates of the point of division.

Sol.

 

Question 6:

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

Sol. 

Question 7:

Find the coordinates of a point A, where AB is the diameter of circle whose centre is (2,−3) and B is (1, 4)

Sol.

Sol.

 

Question 9:

Find the coordinates of the points which divide the line segment joining A (− 2, 2) and B (2, 8) into four equal parts.

Sol.

Question 10:

Find the area of a rhombus if its vertices are (3, 0), (4, 5), (− 1, 4) and (− 2, −1) taken in order. [Hint: Area of a rhombus = (product of its diagonals)]

Sol.