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JEE Main 20253 AprilMorning Shift

Exam: JEE Main
Year: 2025
Date: 3 April
Shift: Morning Shift
Subject: Mathematics
Chapter: Trigonometric Equations

JEE Main 2025 · 3 April · Morning Shift · Mathematics · Trigonometric Equations

The number of solutions of the equation 2 x+3 x=π, x ∈[-2 π, 2 π]-\...

The number of solutions of the equation

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

is $The number of solutions of the equation 2 x+3 x=π, x ∈[-2 π, 2 π]-\ ± (π)/(2), ± (3 π)/(2)\ is$

Options

A $6$
B $5$
C $4$
D $3$

Correct answer

B. $5$

Step-by-step solution

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

$The number of solutions of the equation 2 x+3 x=π, x ∈[-2 π, 2 π]-\ ± (π)/(2), ± (3 π)/(2)\ is$
5 solutions

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