Expand the determinant in Problem 1 find the equation of a circle passing through the thre...

Expand the determinant in Problem 1 find the equation of a circle passing through the three points (3, −4), (5, 10), and (−9, 12). Then find its center and radius.

Problem 1

Explain why the determinant equation

fits a circle of the form x2+ y2 + Ax + By + C = 0 to the three given points (x1, y1), (x2, y2), and (x3, y3).