Let the range of the function f(x)=1/(2+ sin 3 x+ cos 3 x), x R be [a, b]. If α and β ar respectively the A.M. and the G.M. of a and b, then (α)/(β) is equal to

Sets, Relations and Functions: JEE Main 2024 Mathematics question

JEE Main 2024 · 9 Apr, Evening shift · Q3896

JEE Main 20249 Apr, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let the range of the function

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

[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