Question

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

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 :

$M = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\(6,5 ) = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\\dfrac{2+h}{2} = 6 \ , \ \dfrac{3+k}{2} = 5\\\\h = 10 \ ,\ k = 7$

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