Question

If A=(-2,-2) & B=(2, - 4),find the coordinates of 'P' such that AP=3/7AB & 'P' lies on line segment 'AB'.

Answer 1

Heya,

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

Since AP = 3/7 AB

AP = 3/7(AP + PB)

=> 7AP = 3AP+3PB

=> 7AP-3AP= 3PB

=> 4AP=3PB

=> AP/PB= 3/4

Therefore, AP:PB = 3:4

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

Coordinates of P =

[(3)(2)+4(-2) / 3+4} , {(3)(-4)+(4)(2) /3+4]

= [(6-8)/7 , (-12-8)/7]

= (-2/7 , -20/7) Answer...

HOPE IT HELPS:-))