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. JEE Main Exam is conducted by NTA (National Testing Agency) in two sessions.

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 Formulas 2026 - Topic wise Important Mathematics Formulas
JEE Main Maths 2026 Formulas

JEE Main Maths Formula List 2026

Probability Formula

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

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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) $\lim _{\mathbf{x} \rightarrow \mathrm{a}} \frac{\sin (\mathbf{x}-\mathrm{a})}{\mathbf{x}-\mathbf{a}}=\mathbf{1}$

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

Exponential Limits
To solve the limit of the function involving the exponential function, we use the following standard results
(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, Read-

JEE Main Physics Formulas

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.

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Questions related to JEE Main

On Question asked by student community

Have a question related to JEE Main ?

Its okay if you missed jee this year you can drop year for JEE to get into a government institute like IET Lucknow to get better placement here and fees is also less in comparison with SRMU but it also means delaying a year with no guarantee success.

Joining a private college like SRMU now avoids losing a year,but it comes with higher costs and generally lower placement statistics compared to top government institutions.

ultimately Your decision should be based on your skill whether you can significantly improve your JEE score versus accepting a faster, but potentially more expensive, path to your B.Tech.

Hope it helps..

For architecture courses, you generally need to complete 10+2 with Maths as a compulsory subject. The main entrance exams are JEE Main Paper 2 and NATA (National Aptitude Test in Architecture), and you need to clear either of these for admission. Some private colleges also have their own entrance exams. The total fees usually range between 5 to 15 lakhs for the full 5-year course, depending on the college. It’s best to check the specific college website for exact eligibility and fee details.

Hii

Here's the information about Architecture course:
- Eligibility criteria: Qualification completed 10+2 with Physics, Chemistry & Mathematics as compulsory subjects with minimum 50% marks. Age limit is minimum 17 and upper age limit is generally not fixed, that varies by college.

- Entrance Exam: NATA & JEE Mains are both main national level entrance exam that are expected by most of colleges for admission. There are some State exam like MHT-CET, UPSEE and many more that are also accepted by colleges.

- Fee Structure: for government colleges its between 1,00,000 to 2,50,000 per year & for private colleges it's between 3,00,000 to 10,00,000. Fees can also vary based on college, state, facilities, and even quota

Actually there is no JEE Mains cutoff for the M.Sc. Mathematics program at TIET as admission is based on academic record they take 40% based on your Class 12 marks and 60% from your ug marks where Mathematics is compulsary.you need overall aggregate of 60% in your graduation and no backlogs from the first two years to apply there.

If you need alternative you can consider institute like IITs, IISc, and NITs through the IIT JAM exam, or other reputable universities like GFTIs ,DTU and BITMesra where jee main closing rank for the General category was around 25,764.

Hope it helps..

Hello

JEE ke liye Hindi medium mein bhi bahut achhi books available hain.
Physics ke liye HC Verma aur DC Pandey (Hindi version) bahut madadgar hain.
Chemistry ke liye NCERT (Hindi), O.P. Tandon aur Modern’s ABC achhi hain.
Maths ke liye RD Sharma aur Cengage (Hindi edition) useful hoti hain.
In books se concepts easily samajh aate hain aur JEE ki strong tayari ho sakti hai.