Question

The line segment joining $A(-3,1)$ and $B(5,-4)$ is a diameter of a circle whose center is C. Find the coordinates of the point C.

Answer 1

Given $A$ and $B$ are the ends of diameter therefore center is their midpoint.

So midpoint of $A(-3,1),B(5,-4)$ is

$O(\frac{(5-3)}{2},\frac{(1-4)}{2})=O(1,-1.5)$