IMO Shortlist 1969 problem 1


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2. travnja 2012.
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(BEL 1) A parabola P_1 with equation x^2 - 2py = 0 and parabola P_2 with equation x^2 + 2py = 0, p > 0, are given. A line t is tangent to P_2. Find the locus of pole M of the line t with respect to P_1.
Izvor: Međunarodna matematička olimpijada, shortlist 1969