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

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The locus of the vertex of the family of parabolas y = a3x2/3 + a2x/2 - 2a is

(A) xy = 105/64

(B) xy = 3/4

(C) xy = 35/16

(D) xy = 64/105

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1 Answer

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Best answer

Correct option (A) xy = 105/64

Explanation: 

The family of parabola is

Eliminating a, required locus is xy = 105/64.

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