Question

Let P and Q be points on the line joining A(–2, 5) and B(3, 1) such that AP = PQ = QB. Then the mid point of PQ is

(1) (1/2, 3) 

(2) (–1/2, 4) 

(3) (2, 3)

(4) (–1, 4)

Answer 1

(1) (1/2, 3) 

Explanation

Let R be the mid point of PQ. Then

PR = RQ

AP + PR = AP + RQ

AP + PR = BQ + RQ

AR = BR

R is the mid point of PQ