JEE Main · Maths · Application of Derivatives
Graphical Root Counting
JEE Main asked Graphical Root Counting 3 times in 3 of the 108 shifts Lumi analysed, in 2023 and 2024. It belongs to Curve Sketching, in Application of Derivatives (Maths). The longest wait between two years asking it was 1 year. In 2024 it came in more than one shift of the same year.
Updated 2026-10-24
- Times asked
- 3
- in 3 shifts
- Years
- 2 of 8
- First asked
- 2023
- last in 2024
- Pattern
- Occasional
- across the analysed shifts
Questions on this idea a shift, by year
2017–2026. Asked in 2023 and 2024. 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: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 2 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.
How JEE Main framed it
Numerical value is the usual form. Skill tested: multi-step.
- Count roots of function and its derivative
- Count real roots of modulus equation
Difficulty
3 of the 3 questions had a numerical answer.
Every question
All 3 questions
From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.
- 29 Jan 2024, Shift 1 · Q24Let , . If and are respectively the number of points at which the curves and …MediumNumerical value
- 5 Apr 2024, Shift 2 · Q30The number of real solutions of the equation is ________.MediumNumerical value
- 6 Apr 2023, Shift 2 · Q24The number of points, where the curve crosses the x-axis, is ________.MediumNumerical value
Shifts: 6 Apr 2023, Shift 2, 29 Jan 2024, Shift 1, 5 Apr 2024, Shift 2.
Same topic
Other ideas in Curve Sketching
Curve Sketching has 2 ideas JEE Main has asked; 2 of them came up in more than one question.