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Five points are chosen on a circle of radius a. Prove that the centres of all the rectangular hyperbolas, made to pass through any of the four points, lie on a circle of radius a/2. Please help.

Five points are chosen on a circle of radius a. Prove that the centres of all the rectangular hyperbolas, made to pass through any of the four points, lie on a circle of radius a/2. Please help.

Grade:11

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