Learn

Friday, 9 October

JEE Main Maths · Continuity and Differentiability

Finding Unknowns using Continuity

Finding Unknowns using Continuity (Continuity and Differentiability) was asked 2 times in 2 JEE Main shifts, 2025–2026, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2025–2026
Usual format
Single correct
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Find constant from continuity then integral
  • Continuity of piecewise function finding constants

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Continuity and Differentiability. Topic: Continuity and Differentiability, 33 questions over 14 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 8 Apr 2026, Shift 2 · Q19Let f(x)={13,x≤π/2b(1−sin⁡x)(π−2x)2,x>π/2f(x) = \begin{cases} \frac{1}{3}, & x \le \pi/2 \\ \frac{b(1 - \sin x)}{(\pi - 2x)^2}, & x > \pi/2 \end{cases}. If ff is continuous…MediumSingle correct
  2. 3 Apr 2025, Shift 1 · Q17Let f(x)={(1+ax)1/x,x<01+b,x=0(x+4)1/2−2(x+c)1/3−2,x>0f(x) = \begin{cases} (1+ax)^{1/x}, & x < 0 \\ 1+b, & x = 0 \\ \dfrac{(x+4)^{1/2} - 2}{(x+c)^{1/3} - 2}, & x > 0 \end{cases} be…MediumSingle correct