JEE Main 2025 · MathsMultiple choiceSingle correctMediumData or graph

JEE Main 3 April 2025, Shift 1, Maths Q10

Question 10 of 75 in this shift, Maths question 10 of 25, Section A.

The number of solutions of the equation

2x + 3\tan x = \pi

x \in [-2\pi, 2\pi] - \left\{\pm\frac{\pi}{2}, \pm\frac{3\pi}{2}\right\}

is:

(1)3
(2)4
(3)5Official answer
(4)6

Official answer

Option 3

NTA final key.

Chapter: Trigonometric Functions
Topic: General Solutions
Idea tested: Graphical Root Counting for Mixed Equations

Same idea in other shifts

Asked 4× in all

5 Apr 2024, Shift 2 · Q21The number of solutions of $\sin^2 x + (2+2x-x^2)\sin x - 3(x-1)^2 = 0$ , where $-\pi \leq x \leq \pi$ , is ________.HardNumerical value
29 Jun 2022, Shift 1 · Q25The number of solutions of the equation $2\theta - \cos^2\theta + \sqrt{2} = 0$ in $\mathbf{R}$ is equal to ____________.MediumNumerical value
17 Mar 2021, Shift 2 · Q79The number of solutions of the equation $x+2\tan x=\frac{\pi}{2}$ in the interval $[0, 2\pi]$ is :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 108 of the 174 JEE Main shifts held from 2017 to 2026.