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Let ABC be a triangle with circumcenre O...

Let ABC be a triangle with circumcenre O. The points P and Q are interior points of the sides Let K, L and M be the mid points of the segments BP, CQ and PQ respectively, and let `tau` be the circle passing through K, L and M. Suppose that the line PQ is tangent to the circle `tau`. Prove that OP=OQ.

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