JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 5 April 2024, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

The 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 ________.

Official answer

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
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.