Let the range of the function | Function | JEE Main 2024

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JEE Main 2024

09-04-2024 S2

Question

Let the range of the function $f(x)=\frac{1}{2+\sin 3 x+\cos 3 x}, x \in \mathrm{IR}$ be $[a, b]$. If $\alpha$ and $\beta$ are respectively the A.M. and the G.M. of $a$ and $b$, then $\frac{\alpha}{\beta}$ is equal to :

Select the correct option:

A

$\sqrt{2}$

B

2

C

$\sqrt{\pi}$

D

$\pi$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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