Let 'a' be a real number such that the function... | Maxima and Minima | JEE Main

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JEE MAIN 2021

20-07-2021 S1

Question

Let ' $a$ ' be a real number such that the function $f(x)=a x^2+6 x-15, x \in R$ is increasing in $\left(-\infty, \frac{3}{4}\right)$ and decreasing in $\left(\frac{3}{4}, \infty\right)$. Then the function $g(x)=a x^2-6 x+15, x \in R$ has a:

Select the correct option:

A

local maximum at $x=-\frac{3}{4}$

B

local minimum at $\mathrm{x}=-\frac{3}{4}$

C

local maximum at $x=\frac{3}{4}$

D

local minimum at $x=\frac{3}{4}$

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