Find the points o

Let P and Q are the points of the intersection of the line segment joining the points A and B.

Here, AP = PQ = QB

AP = 1 PQ = 1 QB = 1

Section Formula internally =

P divides line segment AB in the ratio 1:2

Where l = 1 and m = 2

A (2, –2) and B (–7, 4)

=

=

=

= (–1,0)

Q divides line segment AB in the ratio 2: 1

Where l = 2 and m = 1

A (2, –2) and B (–7, 4)

=

=

=

= (–4,2)

Therefore, the coordinates of point P (–1, 0) and Q (–4, 2)