2017 JBMO Problems/Problem 3
Let be an acute triangle such that ,with circumcircle and circumcenter . Let be the midpoint of and be a point on such that . let be a point such that is a parallelogram and a point on the same side of as such that and . Let the line intersect at and let the circumcircle of intersect at point . Prove that the point and are collinear .
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