**Q) **The line segment joining the points A(4,-5) and B(4,5) is divided by the point P such that AP : AB = 2 : 5. Find the coordinates of P.

**Ans: **Let’s draw the diagram to solve:

Given that

(AB = AP + PB)

by cross multiplication, we get: 5 AP = 2 (AP + PB)

or

By section formula, if a point $(x,y)$ divides the line joining the points $(x1,y1)$ and $(x2,y2)$ in the ratio $m:n$, then coordinates of point $(x,y)=$

(, )

**Therefore, the coordinates of P are (4, -1)**