Question

PQ is the perpendicular bisector of AB, where A = (–3, 5) and B = (–6, 3). If Q lies on AB, then the coordinates of Q are

• A. (-7, 4)
• B. (-5, 3)
• C. (-8, 3)
• D. $(\frac{-9}{2},4)$

Answer 1

The correct option is D $(\frac{-9}{2},4)$

Given that PQ is the perpendicular bisector AB i.e. PQ ⊥ AB and AQ = QB, where A(–3, 5) and B(–6, 3).



Now, Q is the mid-point of AB.

$\Rightarrow (x,y)=(\frac{-3+(-6)}{2},\frac{5+3}{2})$

$\Rightarrow (x,y)=(\frac{-9}{2},4)$

Hence, the correct answer is option (d).