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ILL 1969 Problem 4

    (BEL4)(BEL 4) Let OO be a point on a nondegenerate conic. A right angle with vertex OO intersects the conic at points AA and BB. Prove that the line ABAB passes through a fixed point located on the normal to the conic through the point O.O.

    Dataset text AoPS wiki problems. Quoted with source.

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