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Prove that the radical axis of the circles x^2 + y^2 + 2gx + 2fy + c = 0 and x^2 + y^2 + 2g'x + 2f'y + c' = 0is the diameter of the latter circle (or the former bisects the circumference fo the latter ) if 2g'(g-g') + 2f'(f-f') = c-c'. |
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