JEE Main · Maths · Application of Derivatives
Root Counting via Intersection Sketching
JEE Main asked Root Counting via Intersection Sketching 2 times in 2 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.
Updated 2026-10-24
- Times asked
- 2
- in 2 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: 1 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.
- Statements on roots of cubic on interval
- Count real roots of function
Difficulty
1 of the 2 questions had a numerical answer.
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.
- 29 Jan 2024, Shift 1 · Q10Consider the function defined by . Consider the statements (I)…MediumTwo statements
- 11 Apr 2023, Shift 2 · Q24The number of points, where the curve , cuts -axis, is equal to…MediumNumerical value
Shifts: 11 Apr 2023, Shift 2, 29 Jan 2024, Shift 1.
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.
- Graphical Root Counting3× · 2024