IMO Shortlist 1969 problem 4


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2. travnja 2012.
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(BEL 4) Let O be a point on a nondegenerate conic. A right angle with vertex O intersects the conic at points A and B. Prove that the line AB passes through a fixed point located on the normal to the conic through the point O.
Izvor: Međunarodna matematička olimpijada, shortlist 1969