JEE Main 2021 · MathsMultiple choiceSingle correctMediumData or graph

JEE Main 17 March 2021, Shift 2, Maths Q79

Question 79 of 90 in this shift, Maths question 19 of 30, Section A.

The number of solutions of the equation

x+2\tan x=\frac{\pi}{2}

in the interval

[0, 2\pi]

is :

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

Official answer

Option 2

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

3 Apr 2025, Shift 1 · Q10The 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:MediumSingle correct
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

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.