Question

The point which lies on the perpendicular bisector of the line segment joining the points $A(2,5)$ and $B(-2,-5)$ is:

• A. $(0,0)$
• B. $(0,2)$
• C. $(-2,0)$
• D. $(2,0)$

Answer 1

The correct option is A $(0,0)$

Let the mid point is $(x_1,y_1)$
$x_1=\frac{2+(-2)}{2}=\frac{0}{2}=0$
$y_1=\frac{5+(-5)}{0}=\frac{0}{2}=0$
$(0,0)$ lies on the perpendicular bisector of $(2,5)$ and $(-2,-5)$.