Consider the curve and

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

Problem

Consider the curve

x=t^{2}-3t

and

y=t^{3}-6t

. If the tangent is horizontal and the

x

-coordinate of the point is positive, which of the following values of

t

satisfies both conditions? (a)

\sqrt{2}

(b)

\dfrac{3}{2}

(c)

-\sqrt{2}

(d)

2