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JEE Math Practice Question

The locus of the vertices of the family of parabolas $$y = {{{a^3}{x^2}} \over 3} + {{{a^2}x} \over 2} - 2a$$ is :

  1. A.$$xy = {{105} \over {64}}$$
  2. B.$$xy = {{3} \over {4}}$$
  3. C.$$xy = {{35} \over {16}}$$
  4. D.$$xy = {{64} \over {105}}$$

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