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Prove that the centre of the circle c...

Prove that the centre of the circle circumscribing the cyclic rectangle `A B C D` is the point of intersection of its diagonals.

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Let O be the point of intersection of the diagonals AC and BD fo rect. ABCD. Since the diagonals of a rectangle are equal and bisect each other, we have `OA= OB =OC=OD`
Hence, O is the centre of the circle through A,B,C,D.
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