Question

Find the centre of the circle passing through (5, -8), (2, -9) and (2, 1).

Answer 1

Given that the circle is passing through points (5, -8), (2, -9) and (2,1).

Let the center of the circle be (x,y) which will be equidistant from points (5, -8), (2, -9) and (2,1).

Taking last two points and applying distance formula,



Taking first two points,



hence the center of the circle (x,y)=(2,-4)