Question

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

• A. $\left( \frac{1}{2},3 \right)$
• B. $\left( - \frac{1}{2},4 \right)$
• C. $(2,3)$
• D. $(1,4)$

Answer 1

Answer: (A)

$\left( \frac{1}{2},3 \right)$

Answer 2

Mid-point of PQ is the same as that of AB in view of the given conditions i.e., $\left( \frac { 1 } { 2 } , 3 \right)$ .