Let $f(x)$ be a differentiable function and $\mathrm{G}$ is the graph of $f(x)$. If $\mathrm{P}(a, f(a))$ on $\mathrm{G}$ is the point nearest to $(0,0)$, then $f(a) f^{\prime}(a)=$

JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

1 of 1

Application +4 | -1

Let

f(x)

be a differentiable function and

\mathrm{G}

is the graph of

f(x)

. If

\mathrm{P}(a, f(a))

\mathrm{G}

is the point nearest to

(0,0)

, then

f(a) f^{\prime}(a)=

View answer and explanation

Correct option: B

-a

Option B (

-a

) is correct because the point nearest to (0,0) implies the distance function is minimized, leading to the given relation.

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