Question

Find the coordinate of a point P on the line segment joining A(1,2) and B(6,7) such that AP=2/5AB.

Answer 1

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.

Answer 2

hope this answer helps you