Question

In a triangle OAB, E is the mid-point of OB and D is a point on AB such that AD:DB = 2:1. If OD and AE intersect at P, then ratio of OP/PD  is equal to

(A) 3:2 

(B) 2:3 

(C) 3:4 

(D) 4:3

Answer 1

Answer is (A) 3:2

See Fig. Let A(a), B(b). Then

Comparing coefficients of a and b, we get