.png?h=35&w=35&mode=stretch){kind=small}
Limit, continuity, and differentiability are high-weightage topics in both JEE Main and JEE Advanced exams. These topics carry an approximate weightage of 10-11% and candidates can expect 3 to 4 questions from this topic in the exam.
These concepts are the foundation of calculus and are important for solving complex problems in integration, differentiation, and other advanced topics in mathematics
The most frequently asked topics in this section are L'Hôpital's Rule, Differentiability, and Asymptotes.
Must Read Articles:
- Download JEE Main Last 10 year PYQ for Free
- Download JEE Main 2025 Shift 1 Question Paper with Detailed Solutions
Listed below are the questions of Limit, continuity, and differentiability with detailed solutions asked in JEE Main.
Question1:
Question 2:
Question 3:
Question 4:
Question 5:
Question 6:
Question 7:
Question 8:
Question 9:
Question 10:
JEE Main Mathematics Paper Pattern
The NTA has updated the JEE Main Mathematics Exam Pattern for 2025. Earlier, section B allowed candidates to attempt only 5 out of 10 NVQs, but now all 5 are compulsory.
The detailed exam pattern for JEE Main Mathematics is given below:
| Aspect | Details |
|---|---|
| Mode of Exam | Online Computer-Based Test (CBT) |
| Language of Exam | English, Hindi, Assamese, Bengali, Gujarati, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, and Urdu |
| Types of Questions | Section A: Multiple Choice Questions (MCQs)Section B: Numerical Value-Based Questions (NVQs) |
| Total Number of Questions | 25 QuestionsSection A: 20 MCQsSection B: 5 NVQs (All mandatory) |
| Marking Scheme | Correct Answer: +4 marksIncorrect Answer: -1 mark (applies to both MCQs and NVQs)Unanswered/Marked for Review: No marks deducted |
| Total Marks | 100 Marks |
JEE Main Mathematics Chapter-Wise Weightage
The most important sections in the JEE Main Mathematic are Calculus and Algebra. These topics carry approximately 35 to 40% weightage in the exam.
The detailed chapter-wise weightage for mathematics is given in the table below for classes 11th and 12th.
Class 11 Mathematics High-weightage Topics:
| Chapter | Approximate Weightage |
|---|---|
| Sets, Relations & Functions | 3.3% |
| Complex Numbers & Quadratic Equations | 3.3% |
| Permutations & Combinations | 3.3% |
| Binomial Theorem | 3.3% |
| Sequences & Series | 6.6% |
| Straight Lines | 6.6% |
| Conic Sections (Parabola, Ellipse, Hyperbola) | 9.9% |
| Trigonometric Equations | 3.3% |
Mathematics Chapter-wise Weightage for Class 12 Topics:
| Chapter | Approximate Weightage |
|---|---|
| Matrices & Determinants | 6.6% |
| Limits, Continuity & Differentiability | 3.3% |
| Integral Calculus (Definite & Indefinite Integrals) | 6.6% |
| Differential Equations | 3.3% |
| Vector Algebra | 3.3% |
| Three-Dimensional Geometry | 6.6% |
| Probability & Statistics | 6.6% |
JEE Main Last 5 Year Mathematics Papers Pdf
You can download the JEE Main last 5 years’ Mathematics pdf with solutions from the table given below:
JEE Main 2024 Mathematics Question Paper Session 1
| Exam Date | Question Paper | Solution PDF |
|---|---|---|
| JEE Main 2024 Feb 1 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Feb 1 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 31 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 31 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 30 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 30 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 29 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 29 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 27 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 27 Shift 1 Mathematics Question Paper | Download | Check Solution |
JEE Main 2024 Mathematics Question Paper Session 2
| Exam Date and Shift | Question Paper | Solution PDF |
|---|---|---|
| JEE Main 2024 April 4 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 4 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 5 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 5 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 6 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 6 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 8 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 8 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 9 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 9 Shift 2 Mathematics Question Paper | Download | Check Solution |
JEE Main 2023 Mathematics Question Paper
| Exam Date | Mathematics Question Paper PDF |
|---|---|
| Mathematics 6 April Shift 1 Question Paper | Check Here |
| Mathematics 6 April Shift 2 Question Paper | Check Here |
| Mathematics 8 April Shift 1 Question Paper | Check Here |
| Mathematics 8 April Shift 2 Question Paper | Check Here |
| Mathematics 10 April Shift 1 Question Paper | Check Here |
| Mathematics 10 April Shift 2 Question Paper | Check Here |
| Mathematics 11 April Shift 1 Question Paper | Check Here |
| Mathematics 11 April Shift 2 Question Paper | Check Here |
| Mathematics 12 April Shift 1 Question Paper | Check Here |
| Mathematics 13 April Shift 1 Question Paper | Check Here |
| Mathematics 13 April Shift 2 Question Paper | Check Here |
| Mathematics 15 April Shift 1 Question Paper | Check Here |
JEE Main 2023 Mathematics Question Paper Session 1
| Exam Date and Shift | Mathematics Question Paper PDF |
|---|---|
| Mathematics 24 January Shift 1 Question Paper | Check Here |
| Mathematics 24 January Shift 2 Question Paper | Check Here |
| Mathematics 25 January Shift 1 Question Paper | Check Here |
| Mathematics 25 January Shift 2 Question Paper | Check Here |
| Mathematics 29 January Shift 1 Question Paper | Check Here |
| Mathematics 29 January Shift 2 Question Paper | Check Here |
| Mathematics 30 January Shift 1 Question Paper | Check Here |
| Mathematics 30 January Shift 2 Question Paper | Check Here |
| Mathematics 31 January Shift 1 Question Paper | Check Here |
| Mathematics 31 January Shift 2 Question Paper | Check Here |
| Mathematics 1 February Shift 1 Question Paper | Check Here |
| Mathematics 1 February Shift 2 Question Paper | Check Here |
JEE Main 2022 Mathematics Question Paper with Solution PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| July 25 | Shift 1 | Check Here |
| July 25 | Shift 2 | Check Here |
| July 26 | Shift 1 | Check Here |
| July 26 | Shift 2 | Check Here |
| July 27 | Shift 1 | Check Here |
| July 27 | Shift 2 | Check Here |
| July 28 | Shift 1 | Check Here |
| July 28 | Shift 2 | Check Here |
| July 29 | Shift 1 | Check Here |
| July 29 | Shift 2 | Check Here |
JEE Main 2022 Mathematics Question Paper with Solution PDF- Phase 1
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| June 29 | Shift 1 | Check Here |
| June 29 | Shift 2 | Check Here |
| June 28 | Shift 1 | Check Here |
| June 28 | Shift 2 | Check Here |
| June 27 | Shift 1 | Check Here |
| June 27 | Shift 2 | Check Here |
| June 26 | Shift 1 | Check Here |
| June 26 | Shift 2 | Check Here |
| June 25 | Shift 1 | Check Here |
| June 25 | Shift 2 | Check Here |
| June 24 | Shift 1 | Check Here |
| June 24 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper- Download PDF
JEE Main 2021 Mathematics Question Paper with Solution (Session 4- August)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| August 26 | Shift 1 | Check Here |
| August 26 | Shift 2 | Check Here |
| August 27 | Shift 1 | Check Here |
| August 27 | Shift 2 | Check Here |
| August 31 | Shift 1 | Check Here |
| August 31 | Shift 2 | Check Here |
| September 1 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper with Solution (Session3- July)- Download PDF
| Exam Date | Shift/ Slot | JEE Main Question Paper PDF |
|---|---|---|
| July 22 | Shift 2 | Check Here |
| July 25 | Shift 1 | Check Here |
| July 25 | Shift 2 | Check Here |
| July 27 | Shift 1 | Check Here |
| August 3 | Shift 1 | Check Here |
| August 3 | Shift 2 | Check Here |
| August 4 | Shift 1 | Check Here |
| August 4 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper with Solution (Session 2- March)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| March 16 | Shift 1 | Check Here |
| March 16 | Shift 2 | Check Here |
| March 17 | Shift 1 | Check Here |
| March 17 | Shift 2 | Check Here |
| March 18 | Shift 1 | Check Here |
| March 18 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper with Solution (Session 1- February)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| February 24 | Shift 1 | Check Here |
| February 24 | Shift 2 | Check Here |
| February 25 | Shift 1 | Check Here |
| February 25 | Shift 2 | Check Here |
| February 26 | Shift 1 | Check Here |
| February 26 | Shift 2 | Check Here |
JEE Main 2020 Mathematics Question Paper with Solutions- Download PDF
JEE Main 2020 Mathematics Question Paper with Solutions (Session 2- September)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| September 2 | Shift 1 | Check Here |
| September 2 | Shift 2 | Check Here |
| September 3 | Shift 1 | Check Here |
| September 3 | Shift 2 | Check Here |
| September 4 | Shift 1 | Check Here |
| September 4 | Shift 2 | Check Here |
| September 5 | Shift 1 | Check Here |
| September 5 | Shift 2 | Check Here |
| September 6 | Shift 1 | Check Here |
| September 6 | Shift 2 | Check Here |
JEE Main 2020 Mathematics Question Paper with Solutions (Session 1- January)- Download PDF
| Exam Date | Shift/ Slot | JEE Main Question Paper PDF |
| January 8 | Shift 1 | Check Here |
| January 8 | Shift 2 | Check Here |
| January 9 | Shift 1 | Check Here |
| January 9 | Shift 2 | Check Here |
Important Books for Mathematics:
Frequently Asked Questions
What is the relationship between limits continuity and differentiability?
The relationship between limits, continuity, and differentiability are as follows:
- The function must have a limit at a point to be continuous there, while a function must be continuous at a point to be differentiable there.
- A function can have limit without being continuous or differentiable
- Differentiability denotes continuity, but continuity does not imply differentiability.
What are the conditions for continuity and differentiability?
There are certain conditions for continuity and differentiability. The conditions for continuity are mentioned below:
- The function is defined at that point: f(a)exists.
- The limit exists at that point: limx→af(x) exists.
- The limit equals the function value: limx→af(x)=f(a)
The conditions for differentiability are as follows
A function f(x) is differentiable at a point x=a if:
- The function is continuous at x=ax
- The left-hand derivative and right-hand derivative are equal:
How do you know if a limit is differentiable?
A limit is not differentiable, but a function that has a limit may or may not be differentiable. To check if a function is differentiable at a point x=ax we can check the continuity and calculate the derivative by the formula below:
Comments