Question

Point P is lying on the line segment AB joining A(2,-5) and B(5,2)such that 3AP = 2PB. Find the coordinate of point P and find in which quadrant it lies.

Answer 1

Answer:

Step-by-step explanation:

P is on AB such that AP = 2/5 * ABAP/AB = 2/5

AP/AB = 2/5

by compodendo-dividendo, AP/(AB-AP)

= 2/(5-2)

OR AP/PB = 2/3.This means that P divides AB in the ratio 2:3.

Hence, P has co-ordinates as follows:

Abscissa (2*6 + 3*1) / (3+2) = 3

Ordinaate (2*7 + 3*2) / (3+2) = 4

Hence,

P(3,4)is the point.

I Hope its helps u alot.