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The locus of the vertex of the family of...

The locus of the vertex of the family of parabolas `y=(a^3x^2)/3+(a^(2x))/2-2a` is `x y=(105)/(64)` (b) `x y=3/4` `x y=(35)/(16)` (d) `x y=(64)/(105)`

A

`xy=(105)/(64)`

B

`xy=(3)/(4)`

C

`xy=(35)/(16)`

D

`xy=(64)/(105)`

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The correct Answer is:
A
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