Let the range of the function f(x) = 1/(2 + sin(3x) + cos(3x)), w… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 6 April, Shift 1Functions

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

A
$\sqrt{2}$
B
$2$
C
$\sqrt{\pi}$
D
$\pi$

Answer & step-by-step solution

Practice more Functions questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Functions

Answer & step-by-step solution

Practice more Functions questions

Related questions