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Putnam 1974 A5

Source: Putnam 1974

May 28, 2022
PutnamLocusparabolageometry

Problem Statement

Consider the two mutually tangent parabolas y=x2y=x^2 and y=āˆ’x2y=-x^2. The upper parabola rolls without slipping around the fixed lower parabola. Find the locus of the focus of the moving parabola.
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