RU-ALLRUSSIAN 1973 Problem 4
OA and OB are tangent to a circle at A and B. The line parallel to OB through A meets the circle again at C. The line OC meets the circle again at E. The ray AE meets the line OB at K. Prove that K is the midpoint of OB.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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