JEE Main · Maths · Trigonometric Functions
Boundedness and Range Analysis
JEE Main asked Boundedness and Range Analysis 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2026. It belongs to General Solutions, in Trigonometric Functions (Maths). The longest wait between two years asking it was 5 years.
Updated 2026-10-24
- Times asked
- 2
- in 2 shifts
- Years
- 2 of 8
- First asked
- 2021
- last in 2026
- Pattern
- Occasional
- across the analysed shifts
Questions on this idea a shift, by year
2017–2026. Asked in 2021 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.
Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 1 in 9 shifts.
Shift by shift
Each square is one analysed shift, in date order. Open a filled one for that paper.
How JEE Main framed it
Single correct is the usual form. Skill tested: application.
- Count solutions of trig equation in interval
Difficulty
Every question was multiple choice.
Every question
All 2 questions
From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.
- 2 Apr 2026, Shift 1 · Q12Let . Then is equal to :HardSingle correct
- 22 Jul 2021, Shift 2 · Q62The number of solutions of , is equal to :MediumSingle correct
Shifts: 22 Jul 2021, Shift 2, 2 Apr 2026, Shift 1.
Same topic
Other ideas in General Solutions
General Solutions has 23 ideas JEE Main has asked; 6 of them came up in more than one question. The 12 most asked are below.
- Quadratic Substitution in Trigonometry12× · 2025
- Graphical Root Counting for Mixed Equations4× · 2025
- Modulus Trigonometric Equations3× · 2022
- Product-to-Sum Transformation2× · 2026
- Fourth Power Identity Application2× · 2021
- Sine General Solutiononce · 2026
- Cosine General Solutiononce · 2025
- Multiple Angle Equatingonce · 2025
- Factorization Methodonce · 2024
- Linear Combination Solutiononce · 2024
- AM-GM Inequality Bounds in Trig Equationsonce · 2022
- Domain Restricted Solutionsonce · 2022