JEE Main Maths Formulas 2026 - Topic wise Important Mathematics Formulas

JEE Main Maths Formulas 2026 - Topic wise Important Mathematics Formulas

Team Careers360Updated on 16 Jun 2025, 04:35 AM IST

JEE Main Maths Formulas 2026 -Students preparing for JEE Main 2026 should keep the list of important formulas for JEE Main 2026. This list of JEE Main Maths formulas 2026 helps students to solve questions quickly. While creating short notes, it is a must to list down the important formulas for JEE Mains 2026. This exam is conducted by NTA (National Testing Agency) in two sessions.

LiveJEE Main 2026 Registration LIVE: NTA session 1 application form soon; exam date, syllabus updatesOct 18, 2025 | 9:18 PM IST

Candidates can follow the steps below to apply online for the JEE Mains 2026 session 1.

  • Visit the JEE Main official website, jeemain.nta.nic.in
  • Click on the new application form tab.
  • Fill out the application form
  • Upload the required documents
  • Proceeds to fee payment
  • Before submitting, review the application form.
  • Submit and download the application form and save the reference number.
Read More
JEE Main Maths Formulas 2026 - Topic wise Important Mathematics Formulas
JEE Main Maths 2026 Formulas

There will be 14 chapters in Mathematics, including the Class 11 and 12 topics, according to the new syllabus given by NTA. Hence, it is suggested to follow the NCERT books to prepare for JEE Mains. To help the aspirants, we have created an e-book on JEE Main Maths 2026 formulas. Students can also download the same and study from it.

JEE Main Maths Formula List 2026

Candidates must go through all the formulas and practice the mathematical problems. Without formulas, you cannot solve any problem, though you know how to solve it. Revising the formulas daily is very important. Here we have provided the Mathematics formulas for JEE Mains.

1. Standard form of Quadratic equation: $a x^2+b x+c=0$

2. General equation: $x=\frac{-b \pm \sqrt{\left(b^2-4 a c\right)}}{2 a}$

3. Sum of roots $=-\frac{b}{a}$

4. Product of roots discriminate $=b^2-4 a c$

5. $\sin ^2(x)+\cos ^2(x)=1$

6. $1+\tan ^2(x)=\sec ^2(x)$

7. $1+\cot ^2(x)=\operatorname{cosec}^2(x)$

8. Limit of a sum or difference: $\lim (f(x) \pm g(x))=\lim f(x) \pm \lim g(x)$

9. Limit of a product: $\lim (f(x) g(x))=\lim f(x) \times \lim g(x)$

10. Limit of a quotient: $\lim \left(\frac{f(x)}{g(x)}\right)=\frac{\lim f(x)}{\lim g(x)}$ if $\lim g(x) \neq 0$

11. Power Rule: $\frac{d}{d x}\left(x^n\right)=n x^{(n-1)}$

12. Sum/Difference Rule: $\frac{d}{d x}(f(x) \pm g(x))=f^{\prime}(x) \pm g^{\prime}(x)$

13. Product Rule: $\frac{d}{d x}(f(x) g(x))=f^{\prime}(x) g(x)+f(x) g^{\prime}(x)$

14. Quotient Rule: $\frac{d}{d x}\left(\frac{f(x)}{g(x)}\right)=\frac{\left[g(x) f^{\prime}(x)-f(x) g^{\prime}(x)\right]}{g^2(x)}$

15. $\int x^n d x=\frac{x^{n+1}}{n+1}+c$ where $n \neq-1$

16. $\int \frac{1}{x} d x=\log _e|x|+c$

17. $\int e^x d x=e^x+c$

18. $\int a^x d x=\frac{a^\omega}{\log _e a}+c$

19. Probability Formula
- $P(A \cup B)=P(A)+P(B)-P(A \cap B)$
- $P(A \cap B)=P(A) \times P\left(\frac{B}{A}\right)$
- $P\left(\frac{A}{B}\right)=\frac{P(A \cap B)}{P(B)}$

20. Trigonometric Limits
Some important JEE formulas for trigonometric limit are
(i) $\lim _{x \rightarrow 0} \frac{\sin x}{x}=1$
(ii) $\lim _{\mathrm{x} \rightarrow 0} \frac{\tan \mathrm{x}}{\mathrm{x}}=1$
(iii) $\lim _{\mathbf{x} \rightarrow \mathrm{a}} \frac{\sin (\mathbf{x}-\mathrm{a})}{\mathbf{x}-\mathbf{a}}=\mathbf{1}$

As $\lim _{x \rightarrow 0} \frac{\tan x}{x}=\lim _{x \rightarrow 0} \frac{\sin x}{x} \times \frac{1}{\cos x}$
$=\lim _{x \rightarrow 0} \frac{\sin x}{x} \times \lim _{x \rightarrow 0} \frac{1}{\cos x}=1 \times 1$
As $\lim _{x \rightarrow a} \frac{\sin (x-a)}{x-a}=\lim _{h \rightarrow 0} \frac{\sin ((a+h)-a)}{(a+h)-a}$

$$
\begin{aligned}
& =\lim _{h \rightarrow 0} \frac{\sin h}{h} \\
& =1
\end{aligned}
$$

(iv) $\lim _{\mathbf{x} \rightarrow \mathbf{a}} \frac{\tan (\mathbf{x}-\mathbf{a})}{\mathbf{x}-\mathbf{a}}=\mathbf{1}$
(v) $\lim _{x \rightarrow a} \frac{\sin (f(x))}{f(x)}=1$, if $\lim _{x \rightarrow a} f(x)=0$

Similarly, $\lim _{x \rightarrow a} \frac{\tan (f(x))}{f(x)}=1$, if $\lim _{x \rightarrow a} f(x)=0$

(vi) $\lim _{x \rightarrow 0} \cos x=1$
(vii) $\lim _{x \rightarrow 0} \frac{\sin ^{-1} x}{x}=1$

As $\lim _{x \rightarrow 0} \frac{\sin ^{-1} x}{x}=\lim _{y \rightarrow 0} \frac{y}{\sin y} \quad\left[\because \sin ^{-1} x=y\right]$

$$
=1
$$

(viii) $\lim _{\mathbf{x} \rightarrow 0} \frac{\tan ^{-1} \mathrm{x}}{\mathbf{x}}=\mathbf{1}$

21. Exponential Limits
(i) $\lim _{\mathrm{x} \rightarrow 0} \frac{\mathrm{a}^{\mathrm{x}}-1}{\mathrm{x}}=\log _{\mathrm{e}} \mathrm{a}$

Proof:

$$
\lim _{x \rightarrow 0} \frac{a^x-1}{x}=\lim _{x \rightarrow 0} \frac{\left(1+\frac{x(\log a)}{11}+\frac{x^2(\log a)^2}{2!}+\cdots\right)-1}{x}
$$

[using Taylor series expansion of $a^x$ ]

$$
\begin{aligned}
& =\lim _{x \rightarrow 0}\left(\frac{\log a}{1!}+\frac{x(\log a)^2}{2!}+\cdots\right) \\
& =\log _e a
\end{aligned}
$$

(ii) $\lim _{\mathrm{x} \rightarrow 0} \frac{\mathrm{e}^{\mathrm{x}}-1}{\mathrm{x}}=1$

In General, if $x \rightarrow a$, then we have
(a) $\lim _{x \rightarrow a} \frac{a^{f(x)}-1}{f(x)}=\log _e a$
(b) $\lim _{x \rightarrow a} \frac{e^{f(x)}-1}{f(x)}=\log _e e=1$

Remembering important formulas from Maths will be very useful for the students preparing for the JEE Main 2025 exam. Students should practice a few questions on each formula just to remember them easily. Also refer to JEE Main- Top 30 Most Repeated Questions & Topics

Preparation tips for JEE Mains

Given below are some tips to help you prepare for JEE Main and score good marks in the exam:

1. First, students need to understand the Syllabus and Exam Pattern so that they can refer to the JEE Main syllabus from the official website.

2. Try to identify the important and high-weightage topics and prepare according to that.

3. Create an effective study plan according to your preparation level. Divide your preparation into monthly, weekly, and daily targets and allocate more time to difficult subjects or topics.

4. Students must focus on conceptual clarity; they must understand the logic and derivations behind every formula.

5. Try to solve questions regularly. Solve previous years' JEE Main question papers and attempt mock tests and sample papers regularly.

Tips to Learn Maths Formulas for JEE Main 2026

Students find it difficult to learn formulas for JEE Main, but with the right approach, they can remember. Given below are some points to remember:

1. Students must try to understand why a formula works and how chemical reactions occur, and their mechanism.

2. Then break down formulas into chapters or topics.

3. To learn these formulas easily, try to make a formula notebook.

4. Sometimes students must try to make Mnemonics and short tricks, as it helps in quick revision.

5. Try to solve as many questions and revise

6. Try to use diagrams and flowcharts.

Along with Math formulas also revise JEE Main Physics Formulas and JEE Main Chemistry Formulas

Frequently Asked Questions (FAQs)

Q: How many questions are there in JEE Mains?
A:

JEE Main exam has 75 questions, 25 each from Physics, Chemistry and Mathematics. Out of 25 questions, 20 will be MCQ and 5 will be questions with numerical value answers.

Q: What are the important Chapters included in JEE Main Mathematics Syllabus?
A:

Binomial theorem and its simple applications, coordinate geometry, Limit, continuity and Differentiability,3D geometry, sets, Relation and Functions, Integral calculus, complex numbers, and Quadratic equations.

Q: Is having a strong foundation in maths will be helpful for studying physics subject in JEE Main?
A:

Yes, Lots of important concepts, formulas, and theorems from maths are really helpful for understanding a few important chapters of physics from mechanics, electrostatics, thermodynamics, etc.

Q: What are the important books for JEE Mains Mathematics?
A:

Mathematics Books by R.D. Sharma, IIT Mathematics by M.L. Khanna, and NCERT are a few important books for JEE Main Mathematics.

Articles
|
Upcoming Engineering Exams
Certifications By Top Providers
Basic Programming using Python
Via Indian Institute of Technology Bombay
Introduction to Aerospace Engineering
Via Indian Institute of Technology Bombay
Fundamental Concepts of Electricity
Via Indian Institute of Technology Bombay
Artificial Intelligence
Via Columbia University, New York
Computer Fundamentals
Via Devi Ahilya Vishwavidyalaya, Indore
B.Sc in Programming and Data Science
Via Indian Institute of Technology Madras
Udemy
 1525 courses
Swayam
 817 courses
NPTEL
 773 courses
Coursera
 697 courses
Edx
 608 courses
Explore Top Universities Across Globe

Questions related to JEE Main

On Question asked by student community

Have a question related to JEE Main ?

Hello,

JEE has two exams:

  1. JEE Main : for NITs and eligibility for JEE Advanced.
  2. JEE Advanced: For IITs

The percentage or marks needed to get seat in NITs and IITs are:

  • For NITs, aim for 150+ marks in JEE Main.
  • For IITs, aim for 50-60% marks in JEE Advanced.
  • Focus on concepts, practice, and take mock tests for best results.

Go through the link for more details:

https://engineering.careers360.com/articles/jee-main-cutoff

I hope this answer helps you, All the best!



Heya,

Yes, you can refill your category again. In the case of the April session JEE Main registration, you have the option to change your category while registering your details only once. You can switch from General to EWS if you have a proper certificate. Just be certain that the EWS certificate is granted before the last date of the April session form and complies with the NTA's requirements of validity.

Hope it helps!!!

Hello,

Yes, you can get admission in DTU and IIIT Hyderabad with an outstanding JEE Main rank, as long as you pass Class 12 with at least 60% marks in PCM.


if we talk about DTU (Delhi Technological University) — you must have at least 60% in PCM and pass all subjects. The 75% rule is not strictly applicable here, so you can get admission based on your JEE Main rank and Delhi quota, if applicable.

For IIIT Hyderabad, admission is based on JEE Main percentile/rank, but the institute also requires a minimum of 60% in Class 12 (PCM). So, even with less than 75%, you are eligible if you meet this 60% requirement.

Hope you understand. ALL THE BEST.

Hello Tanishka,

Although i believe your attempting strategy and sequence depends entirely on your stage of preparation and your personal progress, i would suggest you sit for your January attempt even if you aim to seriously prepare for April.

Whatever stage of syllabus completion you are at, i suggest you give it a try to get an estimate of the exam difficulty and see roughly where you stand among the applicants that year. No matter how many mock tests you attempt, the actual examination environment happens to be very different from mock tests. The first attempt is going to give you an idea of the exam environment so you can prepare for your April attempt better.

All the best for your exams!

Hello Swati

Yes, your EWS certificate will be valid for JEE Main 2026 and counselling if it’s issued after April 1, 2025.
This is because EWS certificates are valid for one financial year from April to March.
So, a certificate made in October 2025 will be for FY 2025–26, which covers both JEE and counselling. You’ll need the certificate number during JEE registration in October 2025.
Even if you don’t have it yet, you can still register and upload it later during counselling. Just make sure the certificate clearly mentions the correct financial year.
Always keep a few extra copies and the original ready for verification.
You're good to go if it’s issued after April 1, 2025