Two chords AB and CD bisect each other at X. Show that this is not possible unless X is the center. NO idea how to approach this one as well.
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Two chords AB and CD will be the diagonals of the cyclic quadrilateral ACBD. The diagonals will bisect each other only when the quadrialteral is recangle or square. And in both the cases diagonals pass through the center of the circle.
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