If a variable tangent to the curve x^2y=...

If a variable tangent to the curve `x^2y=c^3` makes intercepts `a , bonx-a n dy-a x e s ,` respectively, then the value of `a^2b` is `27c^3` (b) `4/(27)c^3` (c) `(27)/4c^3` (d) `4/9c^3`

A

`27c^(3)`

B

`(4)/(27)c^(3)`

C

`(27)/(4)c^(3)`

D

`(4)/(9)c^(3)`

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The correct Answer is:

C

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