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Functions question

2024 · 9 Apr · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Functions
2024 · 9 Apr · Shift 2 · Q33

Functions question

2024 · 9 Apr · Shift 2 · Q33

JEE MainMathematicsFunctionsMCQ+4 / −1

Let the range of the function

f(x)=\frac{1}{2+\sin 3 x+\cos 3 x}, x \in \mathbb{R}

be

[a, b]

. If

\alpha

and

\beta

ar respectively the A.M. and the G.M. of

a

and

b

, then

\frac{\alpha}{\beta}

is equal to

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

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