Question

If the point P(3,5) lies on the line segment joining points A(1,3) and B(4,6), then

(a) AP = 1/3AB
(b) AP = PB
(C) PB = 1/3AB
(d) AP = 1/2AB​

Answer 1

Answer: (C)

Because the point P lies on the line AB.

So we can write AB = AP+PB.

From the above solution,

AB = 2PB+PB

AB = 3PB

1/3AB = PB

PB = 1/3AB