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Let A be one point of intersection of two intersecting . . .

Question : Let A be one point of intersection of two intersecting circles with centres O and Q. The tangents at A to the two circles meet the circles again at B and C respectively. Let the point P be located so that AOPQ is a parallelogram. Prove that P is the circumcentre of the triangle ABC. 

Doubt by Saumya S.

Solution :