JEE Main · Maths · Trigonometric Functions

Graphical Root Counting

JEE Main asked Graphical Root Counting once in the 108 shifts Lumi analysed, on 3 Aug 2021, Shift 1. It belongs to General Solutions, in Trigonometric Functions (Maths).

Updated 2026-10-24

Times asked: 1; in 1 shift
Years: 1 of 8
First asked: 2021; the only year
Pattern: Gone quiet; asked once so far

Questions on this idea a shift, by year

2017–2026. Asked in 2021. 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: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

20260 of 9
20250 of 8
20240 of 18
20230 of 12
20220 of 24
20211 of 24
20200 of 12
20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: data or graph.

Count solutions of trig equation in interval

Difficulty

Easy 0Medium 1Hard 0

1 of the 1 question had a numerical answer.

Every question

The question

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

3 Aug 2021, Shift 1 · Q90The number of solutions of the equation $x^2 = \cot x$ in $[0, 2\pi]$ is ________.MediumNumerical value

Shift: 3 Aug 2021, Shift 1.

Same topic