JEE Main · Maths · Trigonometric Functions

Parametric Solvability Conditions

JEE Main asked Parametric Solvability Conditions once in the 108 shifts Lumi analysed, on 26 Feb 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: application.

Count integer parameter values for solvable trig equation

Difficulty

Easy 1Medium 0Hard 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.

26 Feb 2021, Shift 1 · Q86The number of integral values of 'k' for which the equation $3\sin x+4\cos x=k+1$ has a solution, $k\in\mathbf{R}$ is _________.EasyNumerical value

Shift: 26 Feb 2021, Shift 1.

Same topic