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Q)

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


( A ) $xy = \frac{64}{105}$
( B ) $xy = \frac{3}{4}$
( C ) $xy = \frac{35}{16}$
( D ) $xy = \frac{105}{64}$

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