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A4

Part of 1940 Putnam

Problems(1)

Putnam 1940 A4

Source: Putnam 1940

2/22/2022
Let pp be a real constant. The parabola y2=āˆ’4pxy^2=-4px rolls without slipping around the parabola y2=4pxy^2=4px. Find the equation of the locus of the vertex of the rolling parabola.
Putnamconicsparabola