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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.
JEE Main 2026 is expected to be held in two sessions. NTA holds the entrance exam in two sessions to provide the following benefits:
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.
Probability Formula
- $P(A \cup B)=P(A)+P(B)-P(A \cap B)$
- $P(A \cap B)=P(A) \times P\left(\frac{B}{A}\right)$
- $P\left(\frac{A}{B}\right)=\frac{P(A \cap B)}{P(B)}$
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) $\lim _{\mathbf{x} \rightarrow 0} \frac{\tan ^{-1} \mathrm{x}}{\mathbf{x}}=\mathbf{1}$
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-
Frequently Asked Questions (FAQs)
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.
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.
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.
Mathematics Books by R.D. Sharma, IIT Mathematics by M.L. Khanna, and NCERT are a few important books for JEE Main Mathematics.
On Question asked by student community
Hello
Since you’re reappearing for your Class 12 boards in 2026, that will be counted as your official passing year. So, you will be eligible to write JEE Advanced in 2026 and 2027. Although you submitted the boards in 2025, that attempt won’t be considered due to the compartment. JEE Advanced rules allow 2 attempts in 2 consecutive years after passing 12th. So you still have both chances left, which is great! Just make sure you meet the other eligibility conditions too. Keep your focus strong, you’ve got this!
Hello,
To prepare for the JEE paper 2 or the Architecture exam, you need to understand the exam pattern and syllabus clearly. Then strengthen the fundamental concepts with daily revision. After that, take a mock test and practice with the PYQ to get the exam-like experience.
I hope it will clear your query!!
JEE Main exam is a national-level entrance test for admission into top engineering colleges like NITs, IIITs, and GFTIs. It mainly tests your understanding of Physics, Chemistry, and Mathematics. To prepare well, focus on NCERT books first, then refer to standard JEE preparation books for deeper concepts and practice. Regular mock tests and solving previous year papers also help in improving speed and accuracy. I’ll be attaching some useful JEE Main preparation links from Careers360 to help you get started.
https://engineering.careers360.com/articles/best-books-for-jee-main
https://engineering.careers360.com/articles/best-study-material-for-jee-main
https://learn.careers360.com/engineering/jee-main-preparation-material/
Hello,
Generally an income certificate isn't required for the JEE Main registration, but if you want to claim the EWS quota, then you need this. You must provide the certificate, issued by a government authority, as proof of your family's income being below the specified limit for the reservation category you wish to apply under.
I hope it will clear your query!!
Yes, as JEE does accepts improvement examination scores, so you must go for it but most of the state boards have already conducted or are conducting their 2025 improvement exams. If you have already given your improvement that's fine. If you have not given improvement this year then you can take your improvement next year.
Thank You.
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