If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such that and P lies on the line segment AB

Question

If A and B are (&#x2013; 2, &#x2013; 2) and (2, &#x2013; 4), respectively, find the coordinates of P such that and P lies on the line segment AB

Philoid · Accepted Answer

The coordinates of point A and B are ( - 2, - 2) and (2, - 4) respectively

AP = AB

Therefore, AP: PB = 3:4

Point P divides the line segment AB in the ratio 3:4

Coordinates of P = ()

= ()