Question

QUESTION 1: Diagram NOT accurately drawn.

OAP is a triangle.
O to A=a
O to B=b

P is the point on AB such that AP: PB = 3:1

(b) Find OP in terms of a and b.
Give your answer in its simplest form.​

Answer 1

1/4a+3/4b

Explanation:

OP=OA+AP

OA=a

AP=3/4AB

AB=-a+b

thus AP=3/4(-a+b) which is-3/4a+3/4b

OP=a-3/4a+3/4b thus 1/4a+3/4b