For the parametric equations and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For the parametric equations

x=t^{3}-3t

and

y=t^{2}

, the

x

-coordinate(s) of the point(s) where the tangent is vertical is/are (a)

x=0

(b)

x=-2

only (c)

x=-2 \text{ and } x=2

(d)

x=-2 \text{ and } x=-4