Find the centre of the circle passing through (6, -6), (3, -7) and (3, 3).

Coordinates of points on a circle are A(6, -6), B(3, -7) and C(3, 3).

Let the coordinates of the centre of the circle be O(x, y)

Using distance formula =

Since the distance of the points A, B and C will be equal from the center, therefore

⇒ OA = OC

On squaring both sides, we get

=

=

= ………………….(1)

Similarly, OA = OB

On squaring both sides, we get

=

=

= …………..(1)

Solving eqn (1) and (2), we get

x = 3; y = -2

Coordinates of circum center are (3, -2)