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Saturday, 31 October

JEE Main · Maths · Application of Derivatives

Finding Parameters from Given Extrema

JEE Main asked Finding Parameters from Given Extrema 4 times in 4 of the 108 shifts Lumi analysed, in 2021, 2024 and 2025. It belongs to Maxima and Minima, in Application of Derivatives (Maths). The longest wait between two years asking it was 3 years. In 2025 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2021
last in 2025
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2024 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170’200.03’210’220’230.05’240.25’250’26

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: 1 in 18 shifts · 2025: 2 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
  • 20252 of 8
  • 20241 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

Single correct is the usual form. Skill tested: multi-step.

  • Find parameter from locations of local extrema
  • Find parameter from extrema relation

Difficulty

Easy 0Medium 4Hard 0

Every question was multiple choice.

Every question

All 4 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 4 Apr 2025, Shift 2 · Q17Let a>0a>0. If the function f(x)=6x3−45ax2+108a2x+1f(x)=6x^3-45ax^2+108a^2x+1 attains its local maximum and minimum values at the points x1x_1 and x2x_2…MediumSingle correct
  2. 2 Apr 2025, Shift 1 · Q8If the function f(x)=2x3−9ax2+12a2x+1f(x)=2x^3-9ax^2+12a^2x+1, where a>0a>0, attains its local maximum and local minimum values at p and q, respectively, such…MediumSingle correct
  3. 8 Apr 2024, Shift 2 · Q10If the function f(x)=2x3−9ax2+12a2x+1f(x) = 2x^3 - 9ax^2 + 12a^2x + 1, a>0a > 0 has a local maximum at x=αx = \alpha and a local minimum at x=α2x = \alpha^2,…MediumSingle correct
  4. 3 Aug 2021, Shift 2 · Q71If the function f:R→Rf : \mathbb{R} \to \mathbb{R} defined by f(x)=x33−(2a+3b)x2+24abx+5f(x) = \frac{x^3}{3} - (2a+3b)x^2 + 24abx + 5 has a local maxima at −4-4 and…MediumSingle correct

Shifts: 3 Aug 2021, Shift 2, 8 Apr 2024, Shift 2, 2 Apr 2025, Shift 1, 4 Apr 2025, Shift 2.

Same topic

Other ideas in Maxima and Minima

Maxima and Minima has 31 ideas JEE Main has asked; 14 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas