JEE Main 2 April 2026, Shift 1, Maths Q12

Question 12 of 75 in this shift, Maths question 12 of 25, Section A.

Let

S=\{x \in [-\pi, \pi] : \sin x(\sin x+\cos x)=a, a \in \mathbb{Z}\}

. Then

n(S)

is equal to :

(1) $3$
(2) $6$
(3) $7$
(4) $9$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Trigonometric Functions
Topic: General Solutions
Idea tested: Boundedness and Range Analysis

Same idea in other shifts

Asked 2× in all

22 Jul 2021, Shift 2 · Q62The number of solutions of $\sin^7 x+\cos^7 x=1$ , $x\in[0, 4\pi]$ is equal to :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.