If the local maximum.... | JEE Main 2023

JEE MAIN 2023

12-04-2023 S1

Question

If the local maximum value of the function $f(x)=\left(\frac{\sqrt{3 e}}{2 \sin x}\right)^{\sin ^2 x}, x \in\left(0, \frac{\pi}{2}\right)$, is $\frac{k}{e}$, then $\left(\frac{k}{e}\right)^8+\frac{k^8}{e^5}+k^8$ is equal to-

Select the correct option:

$e^5+e^6+e^{11}$

$e^3+e^5+e^{11}$

$e^3+e^6+e^{11}$

$e^3+e^6+e^{10}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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