# (-2,1) and (4,1) are the endpoints of one chord of the circle, and (-2,-3) and (4,-3) are the endpoints of another chord of the circle. What is the center, radius, and equation?

##### 1 Answer

Center is

#### Explanation:

As the ordinates of the endpoints of the chord joining

Similarly, as the ordinates of the endpoints of the chord joining

and hence two chords are equal and parallel and hence center is midpoint of the segment joining their midpoints i.e.

Hence, radius is distance between

graph{x^2+y^2-2x+2y-11=0 [-8.92, 11.08, -6.32, 3.68]}