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

The point(s) on the curve `y^(3)+3x^(2)=12y`, where the tangent is vertical, is (are) :

A

`(pi(4)/(sqrt3),-2)`

B

`(pisqrt((11)/(3)),0)`

C

`(0,0)`

D

`(pi(4)/(sqrt3),2)`

Verified by Experts

The correct Answer is:

D

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