NCERT Mathematics · Class XII · Chapter 5

Continuity and Differentiability

Previous Years' Objective Questions — Entrance Exam Series

50
Questions
1997
From
2025
To
3
Exams
BITSATJEE AdvancedJEE Main
ContinuityDifferentiabilityExponential & Logarithmic FunctionsLogarithmic DifferentiationDerivatives in Parametric FormSecond Order DerivativesRolle's & Mean Value Theorem
Check left-hand and right-hand limits for continuity at a point.
Differentiability implies continuity — not the converse.
Timer starts on Q1 — 2 min/question average.
Logarithmic differentiation for products/powers of functions.
MathJax equations — allow rendering before attempting.
Review all → Submit Quiz.

Continuity and Differentiability is the calculus backbone of Class XII, tested in nearly every JEE paper. These 50 questions from 1997–2025 cover continuity checks, differentiability, logarithmic/parametric differentiation, and higher-order derivatives.

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CONTINUITY AND DIFFERENTIABILITY — Learning Resources

📄 Detailed Notes
✔️ True / False
📌 Exercise
🎯 Advance MCQs
📝 Exercises
CONTINUITY AND DIFFERENTIABILITY - Exercise 5.1 CONTINUITY AND DIFFERENTIABILITY - Exercise 5.2 CONTINUITY AND DIFFERENTIABILITY - Exercise 5.3 CONTINUITY AND DIFFERENTIABILITY - Exercise 5.4 CONTINUITY AND DIFFERENTIABILITY - Exercise 5.5 CONTINUITY AND DIFFERENTIABILITY - Exercise 5.6 CONTINUITY AND DIFFERENTIABILITY - Exercise 5.7 CONTINUITY AND DIFFERENTIABILITY - Miscellaneous Exercise

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