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The point(s) on the curve y^3+\ 3x^2=1...

The point(s) on the curve `y^3+\ 3x^2=12 y` where the tangent is vertical, is(are) ? (a)`(+-4/(sqrt(3)),\ -2)` (b) `(+-\ sqrt((11)/3,\ )\ 1)` (c)`(0,\ 0)` (d) `(+-4/(sqrt(3)),\ 2)`

A

`(pm 4/sqrt3,-2)`

B

(`pm sqrt(11/3),0)`

C

(0,0)

D

`(pm 4/sqrt3,2)`

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The correct Answer is:
D
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