JEE Main Pattern Practice — Limits and Derivatives
A 27-question practice quiz on the full chapter: limits by substitution, cancellation, scaling and rationalization, trigonometric and exponential limits, existence and differentiability questions, first-principles and rules-based derivatives, and tangent-slope applications.
These questions are modelled on the JEE Main pattern and difficulty; they are practice questions in the exam style, not reproductions of specific past papers.
How to attempt this like the real exam:
- Set a timer for 60 minutes and attempt all 27 questions in one sitting.
- Score yourself by the JEE Main scheme: +4 for each correct answer, -1 for each wrong answer, 0 for skipped questions. Maximum score: 108.
- First pass: solve everything that yields within a minute. Second pass: the ones needing real computation. Guess only when you can eliminate two options.
- Review every explanation afterwards — including for questions you got right.
| Your Score | Where You Stand |
|---|---|
| 90 – 108 | Excellent — JEE-ready on this chapter |
| 65 – 89 | Strong — patch the specific topics you dropped |
| 40 – 64 | Decent base — rework the JEE Corner and Solved Examples |
| Below 40 | Revisit Sections 1-4 before attempting again |
This chapter opens the calculus that dominates Class 12 — continuity and differentiability, applications of derivatives, and integrals all begin from these limits.