Question

Find the coordinate of a point P which divides the line segment joining :

A (3, -3) and B (6, 9) in the ratio 1 :2. 

Answer 1

Let the point P divides the line segment AB in the ratio 1: 2.

∴ coordinates of Pare 

x = `(1 xx 6 + 2 xx 3)/(1 + 2) = 4`

y = `(1 xx 9 + 2"x" - 3)/(1 + 2) = 1`