Question

Which point lie on both the perpendicular bisectors of KL and MN?

• A. $(4,0)$
• B. $(4,4)$
• C. $(0,4)$
• D. $(-4,0)$

Answer 1

The correct option is B $(4,4)$

Given four points ,$K(0,12)$ , $N(11,0)$ , $L(0,-4)$ , $M(-3,0)$

$[(\frac{0+0}{2},\frac{12-4}{2}),(\frac{0-0}{2},\frac{11-3}{2})]=(4,4)$

$\therefore$ The point which lies on both the perpendicular bisector $KL$ and $MN$ = (4,4)