A curve is given by and for

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

Problem

A curve is given by

x(t)=2\cos t

and

y(t)=2\sin t

for

0\le t<2\pi

. The point

(1,\sqrt{3})

lies on the curve. Determine the slope

\dfrac{dy}{dx}

of the curve at this point. (a)

\sqrt{3}

(b)

-\dfrac{1}{\sqrt{3}}

(c)

-\sqrt{3}

(d)

\dfrac{1}{\sqrt{3}}

Related theory

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