For the circle defined implicitly by

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

Problem

x^{2}+y^{2}=9

, which of the following expressions correctly represents

\dfrac{dy}{dx}

in terms of

x

and

y

? (a)

-\dfrac{y}{x}

(b)

-\dfrac{x}{2y}

(c)

-\dfrac{x}{y}

(d)

\dfrac{x}{y}