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Saturday, 31 October

JEE Main · Maths · Continuity and Differentiability

Finding Unknown Constants for Continuity

JEE Main asked Finding Unknown Constants for Continuity 10 times in 9 of the 108 shifts Lumi analysed, in 2021, 2022 and 2024. It belongs to Continuity and Differentiability (Maths). The longest wait between two years asking it was 2 years. In 2021, 2022 and 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
10
in 9 shifts
Years
3 of 8
First asked
2021
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.14’210.11’220’230.14’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 4 in 24 shifts · 2022: 3 in 24 shifts · 2023: 0 in 12 shifts · 2024: 3 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.

  • 20260 of 9
  • 20250 of 8
  • 20243 of 18
  • 20230 of 12
  • 202222 of 24
  • 20214 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.

  • Unknown constants from continuity of piecewise function
  • Relation among constants from continuity

Difficulty

Easy 1Medium 7Hard 2

1 of the 10 questions had a numerical answer.

Every question

All 10 questions

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

  1. 1 Feb 2024, Shift 1 · Q8Let f:R→Rf:\mathbb{R}\to\mathbb{R} be defined as :…MediumSingle correct
  2. 9 Apr 2024, Shift 1 · Q24Let f:(0,π)→Rf:(0,\pi)\to\mathbf{R} be a function given by…HardNumerical value
  3. 8 Apr 2024, Shift 2 · Q9For a,b>0a, b > 0, let…HardSingle correct
  4. 29 Jul 2022, Shift 2 · Q4Let the function f(x)={log⁡e(1+5x)−log⁡e(1+αx)x; if x≠010; if x=0f(x)=\begin{cases}\dfrac{\log_e(1+5x)-\log_e(1+\alpha x)}{x} & ;\ if\ x\neq 0\\ 10 & ;\ if\ x=0\end{cases} be…EasySingle correct
  5. 26 Jul 2022, Shift 1 · Q7If the function…MediumSingle correct
  6. 26 Jul 2022, Shift 1 · Q8If f(x)={x+a,x≤0∣x−4∣,x>0f(x) = \begin{cases} x + \mathrm{a}, & x \leq 0 \\ |x - 4|, & x > 0 \end{cases} and…MediumSingle correct
  7. 18 Mar 2021, Shift 2 · Q72Let f:R→Rf:\mathbb{R}\to\mathbb{R} be a function defined as…MediumSingle correctHas a figure
  8. 26 Feb 2021, Shift 2 · Q77Let f:R→Rf : \mathbf{R} \to \mathbf{R} be defined as…MediumSingle correct
  9. 31 Aug 2021, Shift 1 · Q68If the function…MediumSingle correct
  10. 3 Aug 2021, Shift 2 · Q69If for non-zero distinct real numbers aa, bb and cc,…MediumSingle correct

Shifts: 26 Feb 2021, Shift 2, 18 Mar 2021, Shift 2, 3 Aug 2021, Shift 2, 31 Aug 2021, Shift 1, 26 Jul 2022, Shift 1, 29 Jul 2022, Shift 2, 1 Feb 2024, Shift 1, 8 Apr 2024, Shift 2, 9 Apr 2024, Shift 1.

Same topic

Other ideas in Continuity and Differentiability

Continuity and Differentiability has 18 ideas JEE Main has asked; 13 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas