1.

The point(s) on the curve \[{{y}^{3}}+3{{x}^{2}}=12y\] where the tangent is vertical (parallel to y-axis), is (are) [IIT Screening 2002]

A. \[\left( \pm \frac{4}{\sqrt{3}},-2 \right)\]
B. \[\left( \pm \frac{\sqrt{11}}{3},1 \right)\]
C. \[(0,\,0)\]
D. \[\left( \pm \frac{4}{\sqrt{3}},2 \right)\]
Answer» E.


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