Question

M(6,5) is the mid-point of the straight line joining A(2 , 3) to the

point B. Find the coordinates of B.

Answer 1

Given :

M(6,5) is the mid-point of the straight line joining A(2 , 3) to the

point B.

To Find :

The coordinates of B.

Solution :

Let, coordinates of point B is ( h , k ) .

It is given that M is the mid - point of the straight line joining points A and B.

Coordinates of M is given by :

`M = ((2+h)/(2),(3+k)/(2))\\\\(6,5 ) = ((2+h)/(2),(3+k)/(2))\\\\(2+h)/(2) = 6 \ , \ (3+k)/(2) = 5\\\\h = 10 \ ,\ k = 7`

Therefore, coordinates of point B is ( 10 , 7 ).