A curve is given by and

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

Problem

A curve is given by

x=t^{2}-4t

and

y=t^{3}-6t^{2}+8t

. The curve meets the

y

-axis at two points. What is the product of the slopes of the tangents at these points? (a)

0

(b)

4

(c)

-4

(d)

-2