Suppose that the circle

x^2 + 2Ax + y^2 + 2By = C has two x-intercepts, xsub1 and xsub2 and two y-intercepts, ysub1 and ysub2. Prove each statement.

(a) (xsub1+xsub2)/(ysub1+ysub2) equals A/B

(b) (xsub1)(xsub2) - (ysub1)(ysub2) = 0

(c) (xsub1)(xsub2)+(ysub1)(ysub2) = -2C