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The point on the curve y^(3)+3x^(2)=12y ...

The point on the curve `y^(3)+3x^(2)=12y` where the tangent is vertical is ………..

A

`(pm(4)/(sqrt(3)),-2)`

B

`(pm(sqrt(11))/(3),1)`

C

(0,0)

D

`(pm(4)/(sqrt(3)),2)`

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The correct Answer is:
D
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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)

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