JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 August 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

|\cos x|=\cos x-2\sin x,\,-2\pi\le x\le2\pi

, is

(1)7
(2)5Official answer
(3)4
(4)3

Official answer

Option 2

NTA final key.

Chapter: Trigonometric Functions
Topic: General Solutions
Idea tested: Modulus Trigonometric Equations

Same idea in other shifts

Asked 3× in all

25 Jul 2022, Shift 1 · Q18The number of solutions of $|\cos x|=\sin x$ , such that $-4\pi\le x\le4\pi$ is :EasySingle correct
26 Aug 2021, Shift 1 · Q71The sum of solutions of the equation $\frac{\cos x}{1+\sin x} = |\tan 2x|$ ,…HardSingle 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.