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Friday, 9 October

JEE Main Maths · Application of Derivatives

Determining Coefficients from Extrema

Determining Coefficients from Extrema (Application of Derivatives) was asked 2 times in 2 JEE Main shifts, 2020–2025, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2020–2025
Usual format
Single correct
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Determine polynomial from extrema and limit
  • Determine polynomial from extrema

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Application of Derivatives. Topic: Maxima and Minima, 30 questions over 17 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 7 Apr 2025, Shift 2 · Q18Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a polynomial function of degree four having extreme values at x=4x=4 and x=5x=5. If…MediumSingle correct
  2. 2 Sep 2020, Shift 1 · Q61If p(x)p(x) be a polynomial of degree three that has a local maximum value 8 at x=1x=1 and a local minimum value 4 at x=2x=2; then p(0)p(0) is…MediumSingle correct