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

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

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

B

`(+- sqrt((11)/(3)), 1)`

C

(0, 0)

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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