JEE Advanced 2024 Maths Revision Notes
JEE Mains & AdvancedJEE Advanced Maths Notes are given on this page in the form of a link you can go to the link and click on it. You can find the topicwise Maths notes for the JEE Advanced exam. These JEE Advanced Maths notes revision notes are also recommended to download in PDF so that they can use it for offline use. It is very important for JEE aspirants to remember all the formulas which are used in problem solving in Maths. so, the JEE Advanced Maths notes are the perfect material for learning the formulas and important theorems.
The JEE Advanced notes prepared by our subject teacher expert help students with a quick revision of important topics. One preparing for the JEE Advanced must have a proper plan to crack the exam. Practicing previous years’ i.e pyqs JEE Advanced Maths questions is essential to understand the exam pattern and difficulty level.
Students are advised to download and learn the JEE Advanced Maths previous year’s questions with solutions and you should also understand the JEE Advanced syllabus.
Chapterwise Revision Notes for Maths
Make the most of our extensive review notes to help you prepare for the Math subject of JEE Advanced 2024 and get the PDF, incorporate it into your study schedule, and improve your math readiness.
Students may also click on the following table's links to view JEE Advanced Maths notes per chapter:
S. No 
JEE Advanced 2024: Chapterwise Links To Maths Notes 
1 
Algebra Notes 
2 
Matrices Notes 
3 
Probability and Statistics Notes 
4 
Trigonometry Notes 
5 
Analytical Geometry Notes 
6 
Differential Calculus Notes 
7 
Integral Calculus Notes 
8 
Vectors 
Important Formulas Covered in JEE Advanced
Complex Number:

General form of Complex numbers: $x+i$, where ‘$x$' is Real part and ‘i’ is an Imaginary part.

Sum of nth root of unit: zero

Product of nth root of unity = $(1) n1$

Cube roots of unity: $1, \omega, \omega^2$

$\leftz_1+z_2\right \leq\leftz_1\right+\leftz_2\right ;\leftz_1+z_2\right \geq\leftz_1\right\leftz_2\right ;\leftz_1z_2\right \geq\leftz_1\right\leftz_2\right$

If three complex numbers $z_1, z_2, z_3$ are collinear then,

$\left\begin{array}{lll}z_1 & \overline{z_1} & 1 \\ z_2 & \overline{z_2} & 1 \\ z_3 & \overline{z_3} & 1\end{array}\right=0$

If $\arg \cos \alpha=\arg \sin \alpha=0, \arg \cos 2 \alpha=\arg \sin 2 \alpha=0$

$\arg \cos 2 n \alpha=\arg \sin 2 n \alpha=0$

$\arg \cos 2 \alpha=\arg \sin 2 \alpha=\frac{3}{2}$

$\arg \cos 3 \alpha=3 \cos (\alpha+\beta+\gamma)$

$\arg \sin 3 \alpha=3 \sin (\alpha+\beta+\gamma)$

$\arg \cos (2 \alpha\beta\gamma)=3$

$\arg \sin (2 \alpha\beta\gamma)=0$

$a^3+b^3+c^33 a b c=(a+b+c)\left(a+b \omega+c \omega^2\right)\left(a+b \omega^2+c \omega\right)$
Quadratic Equation:

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

General equation: $x=\frac{b \pm \sqrt{\left(b^24 a c\right)}}{2 a}$

Sum of roots $=\frac{b}{a}$

Product of roots discriminate $=b^24 a c$

If $\alpha, \beta$ are roots then Quadratic equation is $x^2x(\alpha+\beta)+\alpha \beta=0$

Number of terms in the expansion: $(x+a)^n$ is $n+1$

Any three non coplanar vectors are linearly independent

A system of vectors $\overline{a_1}, \overline{a_2}, \ldots \overline{a_n}$ are said to be linearly dependent, If there exist,$x_1 \overline{a_1}+x_2 \overline{a_2}+\ldots+x_n a_n=0$ at least one of $x_i \neq 0$ where $i=1,2,3 \ldots n$ and determinant = 0

a, b, c are coplanar then $[a b c]=0$

If i, j, k are unit vectors then $[i j k]=1$

If a, b, c are vectors then $[a+b, b+c, c+a]=2[a b c]$

$(1+x)^{n1}$ is divisible by x and $(1+x)^nn x1$ is divisible by $x^2$

If ${ }^n C_r1,{ }^n C_r,{ }^n C_r+1$ are in A.P, then $(n2 r)^2=n+2$
Trigonometric Identities:

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

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

$1+\cot ^2(x)=\operatorname{cosec}^2(x)$
Limits:

Limit of a constant function: $\lim c=c$

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

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

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

Power Rule: $\frac{d}{d x}\left(x^n\right)=n x^{(n1)}$

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

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

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

$\int x^n d x=\frac{x^{n+1}}{n+1}+c$ where $n \neq1$

$\int \frac{1}{x} d x=\log _ex+c$

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

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

$\int \sin x d x=\cos x+c$

$\int \cos x d x=\sin x+c$

$\int \sec ^2 x d x=\tan x+c$

$\int \operatorname{cosec}^2 x d x=\cot x+c$

$\int \sec x \tan x d x=\sec x+c$

$\int \operatorname{cosec} x \cot x d x=\operatorname{cosec} x+c$

$\int \cot x d x=\log \sin x+c$

$\int \tan x d x=\log \cos x+c$

$\int \sec x d x=\log \sec x+\tan x+c$

$\int \operatorname{cosec} x d x=\log \operatorname{cosec} x\cot x+c$

$\int \frac{1}{\sqrt{a^2x^2}} d x=\sin ^{1}\left(\frac{x}{a}\right)+c$.

$\int \frac{1}{a^2+x^2} d x=\frac{1}{a} \tan ^{1}\left(\frac{x}{a}\right)+c$

$\int\frac{1}{a^2+x^2} d x=\frac{1}{a} \cot ^{1}\left(\frac{x}{a}\right)+c$

$\int \frac{1}{x \sqrt{x^2a^2}} d x=\frac{1}{a} \sec ^{1}\left(\frac{x}{a}\right)+c$

$\int\frac{1}{x \sqrt{x^2a^2}} d x=\frac{1}{a} \operatorname{cosec}^{1}\left(\frac{x}{a}\right)+c$
Important Topics Covered in JEE Advanced
Mathematics chapters demand a clear understanding of the concepts & formulas of any chapter. The following are the most important Math chapters for JEE Advanced 2024 mentioned down below Have a look:

3 Dimensional Geometry

Integrals

Conic section

Functions

Complex Number

Vector Algebra

Continuity and Derivability

Limits

Matrices and Determinants

Parabola

Differential Equation

Circle

Probability

Area under curves

Sequences and series

Application of Derivatives

Permutations and combination

Calculus

Straight Lines

Quadratic Equation

Binomial Theorem & M. I

Set & Relation

Properties of Triangle
Mathematics Chapterwise Weightage in JEE Advanced 2024
To help students prepare smartly, here we have organized the JEE Advanced 2024 Math Topic–wise weightage. The table below will give you a brief idea of the important topics that you need to focus on for the Math exam.
JEE Advanced Maths – Weightage of Chapters 

Topics 
No of Questions 
Marks 
Weightage 
Coordinate Geometry 
9 
25 
21 
Integral Calculus 
8 
25 
21 
Definite integration 
6 
18 
15 
Probability 
5 
15 
13 
Probability 
5 
15 
13 
Matrix & Determinants 
4 
12 
10 
Matrices & Determinants 
4 
12 
10 
Trigonometry 
3 
12 
10 
Circle 
3 
9 
8 
Parabola 
3 
8 
7 
Differential Calculus 
3 
8 
7 
Application of Derivatives 
3 
8 
7 
Vector and 3D 
2 
8 
7 
Vector 
2 
8 
7 
Complex Numbers 
2 
7 
6 
Complex Numbers 
2 
7 
6 
Ellipse 
1 
4 
3 
Straight Line 
2 
4 
3 
Fundamentals of Mathematics 
1 
4 
3 
Fundamentals of Mathematics 
1 
4 
3 
Area under curve 
1 
3 
3 
Differential equation 
1 
4 
3 
Permutation & Combination 
1 
4 
3 
Permutation & Combination 
1 
4 
3 
Inverse Trigonometric function 
1 
4 
3 
Solution of Triangle 
1 
4 
3 
Trigonometric Ratio & identities 
1 
4 
3 
Total 
38 
120 
100 
Students can practice other study materials with the JEE Advanced Maths notes
Having JEE Advance Previous Year Question Papers PDF Download option is a boon for JEE Advance aspirants. It facilitates convenient storage, allowing students to compile a comprehensive study resource. The benefits of having JEE Advance Previous Year Question Papers PDF include easy portability across devices, offline accessibility, and the ability to create a personalized collection of question banks.
Aspirants can efficiently organize their study materials, making revision seamless. Additionally, JEE Advance Question Paper PDF Download provides an opportunity for students to go deeper into specific topics, and create a focused and structured approach to their JEE Advance 2024 preparation.
JEE Advanced Previous Year Question Papers 
JEE Advanced Previous Year Question Paper for 2023 
JEE Advanced Previous Year Question Paper for 2022 
JEE Advanced Previous Year Question Paper for 2021 
JEE Advanced Previous Year Question Paper for 2020 
JEE Advanced Previous Year Question Paper for 2019 
JEE Advanced Maths Important Questions

Sets Relations and Functions

Complex Numbers

Quadratic Equations

Arithmetic and Geometric Progressions

Logarithms

Straight Line

Circle

Parabola

Ellipse

Hyperbola

Permutations and Combinations

Binomial Theorem

Probability

Matrix and Determinants

Limits Continuity and Differentiability

Differentiations

Applications of Derivatives

Integrals

Application of Integrals

Differential Equations

Vectors Algebra

Three Dimensions Geometry
How useful are Revision Notes for the JEE Advanced Exam?
This Maths revision notes provides a perfect picture of important mathematical concepts and formulas which allows you to quickly review and revise important topics before the JEE Advanced exam. Notes usually include stepbystep solutions to various types of problems, offering insights into effective problemsolving strategies that you can apply during the exam. Make sure that you will Wellorganize your JEE Advanced revision notes and break down the complex mathematical concepts into easy ones which helps you grasp difficult topics with clarity and these notes will help you save time during revision by focusing on the most important concepts, allowing you to allocate more time to practice problems.
You can refer to these revision notes to quickly recall formulas, theorems, and concepts, which can be especially helpful when faced with time constraints, during your exam. These well designed revision notes will help in your exam and it will reduce your exam fear.
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