Geometry. Show that an equation of a circle with (x1, y1)and ( x2, y2)as endpoints of a di...

Geometry. Show that an equation of a circle with (x1, y1)and ( x2, y2)as endpoints of a diameter can be written in the form

(x – x0 (x – x2) + (y – y0 (y – y2) = 0.

[ Hint: Use the fact that when the two endpoints of a diam­eter and any other point on the circle are used as vertices fo a triangle, the angle opposite the diameter is a right angle.]