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SE-SKOLORNAS 2019 Problem 2

    Segment ABAB is the diameter of a circle. Points CC and DD lie on the circle. The rays ACAC and ADAD intersect the tangent to the circle at point BB at points PP and QQ , respectively. Show that points C,D,PC, D, P and QQ lie on a circle.

    Dataset text AI-MO AoPS. Quoted with source.

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