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Circumcircle of triangle lies on diagonal

Source: IMOTC PT2 2018 P1, 2018

July 18, 2018
geometrycircumcircle

Problem Statement

Let ABCDABCD be a convex quadrilateral inscribed in a circle with center OO which does not lie on either diagonal. If the circumcentre of triangle AOCAOC lies on the line BDBD, prove that the circumcentre of triangle BODBOD lies on the line ACAC.
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