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Friday, 9 October

JEE Main Maths · Application of Derivatives

Rolle's Theorem in JEE Main

Rolle's Theorem (Maths, Application of Derivatives) came 2 times in 2 of the 42 JEE Main shifts Lumi analysed, across 2 distinct ideas. 0 of them came in 2024–26; it was last asked in 2022.

Questions
2
in 2 shifts
Ideas asked
2
0 asked more than once
Numerical answer
1
50% of its questions
Pattern
Occasional
last asked 2022
Questions each year
0240’171’200’211’220’230’240’250’26

In the shifts Lumi analysed for each year.

Difficulty and format
Easy 0Medium 2Hard 0

Format

  • Numerical value1 Q
  • Single correct1 Q
Ideas inside the topic
2 ideas
Where it sits

Part of Application of Derivatives, which had 47 questions in all. Rolle's Theorem accounts for 4% of them. In Lumi's JEE taxonomy it belongs to Calculus.

Some questions sit in other chapters too: Continuity and Differentiability.

Every question

All 2 Rolle's Theorem questions

Newest first, each with its options and official answer.

  1. 28 Jul 2022, Shift 1 · Q23Let f:[0,1]→Rf:[0,1]\to\mathbf{R} be a twice differentiable function in (0,1)(0,1) such that f(0)=3f(0)=3 and f(1)=5f(1)=5. If the line y=2x+3y=2x+3 intersects…MediumNumerical value
  2. 8 Jan 2020, Shift 1 · Q59If c is a point at which Rolle's theorem holds for the function, f(x)=log⁡e(x2+α7x)f(x)=\log_e\left(\dfrac{x^2+\alpha}{7x}\right) in the interval [3,4][3,4],…MediumSingle correct