JEE Main 2024 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 8 April 2024, Shift 1, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

Let

f(x)=4\cos^3x+3\sqrt{3}\cos^2x-10

. The number of points of local maxima of

f

in interval

(0,2\pi)

(1) $1$
(2) $2$ Official answer
(3) $3$
(4) $4$

Official answer

Option 2

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Counting Extrema in Periodic Functions

Same topic in other shifts

All Maxima and Minima questions

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4 Apr 2026, Shift 2 · Q12 $\max_{0\le x\le\pi}\left(16\sin\left(\frac x2\right)\cos^3\left(\frac x2\right)\right)$ is equal to:MediumSingle correct
5 Apr 2026, Shift 1 · Q12The sum of all the integral values of $p$ such that the equation $3\sin^2 x + 12\cos x - 3 = p$ , $x \in \mathbb{R}$ , has at least one…MediumSingle correct
2 Apr 2025, Shift 1 · Q8If the function $f(x)=2x^3-9ax^2+12a^2x+1$ , where $a>0$ , attains its local maximum and local minimum values at p and q, respectively, such…MediumSingle correct
3 Apr 2025, Shift 2 · Q16Let $f: \mathrm{R} \to \mathrm{R}$ be a function defined by $f(x) = \left||x+2| - 2|x|\right|$ . If $m$ is the number of points of local…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.