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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 2× in all

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

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.