MathDB
Putnam 1942 B2

Source: Putnam 1942

March 1, 2022
Putnamconicsparabola

Problem Statement

For the family of parabolas y=a3x23+a2x2−2ay= \frac{ a^3 x^{2}}{3}+ \frac{ a^2 x}{2}-2a (i) find the locus of vertices, (ii) find the envelope, (iii) sketch the envelope and two typical curves of the family.
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