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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 April 2024, Shift 2, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

Let the range of the function

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

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

(1) $2$
(2) $\sqrt{2}$ Official answer
(3) $\pi$
(4) $\sqrt{\pi}$

Official answer

Option 2

NTA final key.

Chapter: Sequences and Series
Topic: Trigonometric Identities
Idea tested: Extrema of Linear Trigonometric Forms

Same idea in other shifts

Asked 2× in all

16 Mar 2021, Shift 2 · Q77The maximum value of…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.