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IMO 1989 - Shortlist problems Question 14

IMO Shortlist · IMO 1989 - Shortlist problems

Question 14

(IND 2) A bicentric quadrilateral is one that is both inscribable in and circumscribable about a circle. Show that for such a quadrilateral, the centers of the two associated circles are collinear with the point of intersection of the diagonals.