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

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

A

`(pm(1)/(sqrt3),2)`

B

`(pm(11)/(sqrt3),2)`

C

`(0,0)`

D

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

Text Solution

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The correct Answer is:
D
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