The number of solutions of the equation 2 x +3 tan x =π, x in[-2 π, 2 π]- \ pm π/2, pm 3 π/2 \ is :

Mathematics · Application of Derivatives

JEE Main 2025 — 3 April, Morning Shift — Question 29

The number of solutions of the equation $2 \mathrm{x}+3 \tan \mathrm{x}=\pi, \mathrm{x} \in[-2 \pi, 2 \pi]-\left\{ \pm \frac{\pi}{2}, \pm \frac{3 \pi}{2}\right\}$ is :

Option A:
6
Option B:
5
Correct
Option C:
4
Option D:
3

Answer: B

Step-by-step solution

$\tan \mathrm{x}=\frac{\pi}{3}-\frac{2 \mathrm{x}}{3}$

5 solutions

Answer key and solution verified before publishing.

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Exam: JEE Main 2025
Paper: 3 April, Morning Shift
Subject: Mathematics
Chapter: Application of Derivatives
Topic: Nature of Roots of a Cubic Equation