Suppose that the circle x2 + 2Ax + y2 + 2By = C has two x-intercepts, x1 and x2, and two y-intercepts, y1 and y2. Prove each statement.
(a)
(b) x1x2 − y1y2 = 0
(c) x1x2 + y1y2 = −2C
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