Question

In the following figure line APB meets the X-axis at A, Y-axis at B. P is the point (4, -2) and AP : PB = 1 : 2. Write down the coordinates of A and B.

Answer 1

Let (x,0) and (0,y) be the coordiantes of A and B respectively.

Point P divides AB in the ratio of 1:2

So coordinates of p

Hence, the coordinates of A and B are (-6,0) and (0,6) respectively.