The locus of the vertices of the family of parabolas y = a^3x^2 3 + a^2x 2 - 2a is

JEE Main 2006 Mathematics question

The locus of the vertices of the family of parabolas is

Answer: (1)

Vertex at . Then \frac{a^3}{3}\frac{9}{16a^2}\frac{a^2}{2}\frac{3}{4a}$

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Question ID VK-038863