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Friday, 9 October

JEE Main Maths · Application of Derivatives

Curve Sketching in JEE Main

Curve Sketching (Maths, Application of Derivatives) came 2 times in 1 of the 42 JEE Main shifts Lumi analysed, across 2 distinct ideas. 2 of them came in 2024–26; it was last asked in 2024.

Questions
2
in 1 shifts
Ideas asked
2
0 asked more than once
Numerical answer
1
50% of its questions
Pattern
New since 2024
last asked 2024
Questions each year
0240’170’200’210’220’232’240’250’26

In the shifts Lumi analysed for each year.

Difficulty and format
Easy 0Medium 2Hard 0

Format

  • Two statements1 Q
  • Numerical value1 Q
Ideas inside the topic
2 ideas
Where it sits

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

Every question

All 2 Curve Sketching questions

Newest first, each with its options and official answer.

  1. 29 Jan 2024, Shift 1 · Q10Consider the function f:[12,1]→Rf:\left[\frac{1}{2},1\right]\to\mathbb{R} defined by f(x)=42x3−32x−1f(x)=4\sqrt{2}x^3-3\sqrt{2}x-1. Consider the statements (I)…MediumTwo statements
  2. 29 Jan 2024, Shift 1 · Q24Let f(x)=2x−x2f(x)=2^x-x^2, x∈Rx\in\mathbb{R}. If mm and nn are respectively the number of points at which the curves y=f(x)y=f(x) and y=f′(x)y=f'(x)…MediumNumerical value