Let the range of the function f(x)=\frac{1}{2+ \sin 3 x+\cos 3 x}, x \in {\R} \text{ 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 : [9 Apr 2024 Shift 2]

JEE Main 9 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

Let the range of the function
f(x)=‌

2+sin‌3x+cos‌3‌x

,x∈R‌ be ‌[a,b].
If α and β are respectively the A.M. and the G.M. of a and b, then ‌

is equal to :

[9 Apr 2024 Shift 2]

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