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JEE Main Maths Notes 2025 PDF

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Revision Notes for JEE Main Maths PDF Free Download

Vedantu's Master teachers of Maths have created special JEE Main Maths Notes 2025. These notes cover everything you need to know for the JEE Main Maths exam in 2025. They have gathered the most important points, simple explanations, and key formulas from each chapter using the JEE Main Maths Syllabus 2025. You can grab these notes for FREE in PDF format. Just click and download to make learning Maths really easy. When you use these notes, you will feel super confident to take on the JEE Main 2025 exam. So, start preparing with these notes made especially for you!

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Table of Content
1. Revision Notes for JEE Main Maths PDF Free Download
2. Maths Revision Notes: Chapter-wise Links 2025
3. How are Maths Notes Helpful in JEE Main Exams 2025?
4. Vedantu’s Maths Notes Covers The Pillars of the Subject
5. Top 10 Important Topics of Maths for JEE Main
6. Benefits of learning Maths for JEE Mains from Vedantu’s Short Notes
7. Along With the JEE Main Maths Notes - Students Can Also Practice Other Study Materials
8. Download Subject-wise Revision Notes for JEE Main
9. Master Your JEE Main 2025 Journey with Vedantu's Maths Notes
10. JEE Main 2024 Question Paper PDF with Solutions
11. JEE Main 2024 Question Paper PDF with Solutions - Session 2 (April)
FAQs


Maths Revision Notes: Chapter-wise Links 2025

Prepare effectively for the JEE Main 2025 Maths Subject by using the power of these comprehensive revision notes. Download the PDF, integrate it into your study plan, and elevate your Maths preparation.


Students can also access the links to chapter-wise JEE Main Maths notes from the table below:


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How are Maths Notes Helpful in JEE Main Exams 2025?

Maths notes play a crucial role in preparing for the JEE Main exams, serving as valuable resources to enhance your understanding, problem-solving skills, and overall performance in the mathematics section. Here's how these notes can be beneficial:


1. Comprehensive Review:

Maths notes provide a consolidated overview of key mathematical concepts and formulas, allowing you to quickly review and revise essential topics before the exam.


2. Clarity and Understanding:

Well-organized notes break down complex mathematical concepts into digestible chunks, helping you grasp difficult topics with clarity.


3. Problem-solving Techniques:

Notes often include step-by-step solutions to various types of problems, offering insights into effective problem-solving strategies that you can apply during the exam.


4. Time Management:

Concise notes help you save time during revision by focusing on the most important concepts, allowing you to allocate more time to practice problems.


5. Quick Reference:

During the exam, you can refer to your notes to quickly recall formulas, theorems, and strategies, which can be especially helpful when faced with time constraints.


6. Practice Material:

Maths notes may include practice questions and examples, allowing you to reinforce your understanding and improve your problem-solving skills.


7. Revision Confidence:

Having well-organized notes gives you the confidence that you have covered all the necessary topics, reducing anxiety during the exam.


8. Focus on Weak Areas:

Reviewing your notes helps you identify your weak areas, enabling you to dedicate more time to improving those specific concepts.


9. Personalized Annotations:

You can personalize your notes by adding your own explanations, insights, and shortcuts, making the content more relatable and memorable.


10. Holistic Approach:

Maths notes often connect different topics and show how they relate, promoting a holistic understanding of mathematics.


11. Problem Types Identification:

Through notes, you can learn to recognize common problem types and their associated solving techniques, allowing you to efficiently tackle similar questions during the exam.


12. Confidence Boost:

Having well-prepared notes reinforces your preparation, boosts your confidence, and gives you a sense of readiness for the exam.


Remember that while notes are incredibly valuable, consistent practice, solving a variety of problems, and understanding the underlying concepts are equally important for success in the JEE Main mathematics section.


Vedantu’s Maths Notes Covers The Pillars of the Subject

1. Calculus:

  • Explore limits, continuity, and differentiability to understand functions and their behavior.

  • Learn the art of derivatives for problem-solving using slopes, tangents, and maxima/minima.

  • Dive into indefinite and definite integrals to explore areas, volumes, and work done.


2. Coordinate Geometry:

  • Navigate the Cartesian plane with precision, plotting points, lines, circles, and conic sections.

  • Understand the equations and properties of parabolas, ellipses, and hyperbolas.

  • Manipulate shapes with finesse through transformations like translations, rotations, and reflections.


3. Algebra:

  • Decipher equations using variables, exponents, and logarithms.

  • Solve linear, quadratic, and cubic equations with algebraic finesse.

  • Grasp the logical underpinnings of inequalities, sets, and relations.


4. Vectors and 3D:

  • Understand vectors' power in problem-solving, considering magnitude, direction, and operations.

  • Visualize lines, planes, and intersections in the three-dimensional realm.

  • Unlock the capabilities of dot and cross products for calculations and projections.


5. Probability and Statistics:

  • Learn the language of probability, calculating likelihoods and predicting outcomes.

  • Master permutations, combinations, and distributions to uncover patterns in randomness.

  • Apply statistical tests and measures of central tendency to analyze data and draw meaningful conclusions.


Top 10 Important Topics of Maths for JEE Main

  • Calculus

  • Coordinate Geometry

  • Algebra

  • Trigonometry

  • Vectors and 3D Geometry

  • Probability and Statistics

  • Matrices and Determinants

  • Complex Numbers

  • Permutations and Combinations

  • Differential Equations


How Maths JEE Main Formulas Can Be Used While Learning With Maths Notes?

Pairing Maths JEE Main formulas with your Maths JEE Main notes creates a fantastic learning combo. These formulas simplify complex ideas and are crucial. When you combine them with your notes, you truly grasp what concepts mean and how to solve problems. Link formulas to topics in your notes for better memory.


Practicing with formulas hones your problem-solving skills, vital for JEE Main. Integrating formulas into your study routine connects learning with real-world challenges, preparing you to ace the exam. You can download FREE Chapter-wise Maths Formulas from Vedantu’s website.


Below are some important formulas in Maths based on the JEE Mains syllabus:


1. Calculus

  • Derivative of basic functions: $\frac{d}{dx}(x^n) = nx^{n-1}$

  • Chain rule: $\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}$

  • Integration of basic functions: $\int x^n \,dx = \frac{x^{n+1}}{n+1} + C$


2. Coordinate Geometry

  • Distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

  • Equation of a line (slope-intercept form): y = mx + c

  • Circle equation: $(x - h)^2 + (y - k)^2 = r^2$


3. Algebra

  • Quadratic formula for roots of $ax^2 + bx + c = 0$:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

  • The sum of roots of a quadratic:  $x_1 + x_2 = -\frac{b}{a}$

  • Product of roots of a quadratic: $x_1 \cdot x_2 = \frac{c}{a}$


4. Trigonometry

  • Pythagorean identities: $\sin^2 \theta + \cos^2 \theta = 1$

  • Angle sum identities: $\sin (A \pm B) = \sin A \cos B \pm \cos A \sin B$

  • Double angle formulas: $\sin 2\theta = 2 \sin \theta \cos \theta$


5. Vectors and 3D Geometry

  • Dot product: $\vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \theta$

  • Cross product: $|\vec{a} \times \vec{b}| = |\vec{a}| |\vec{b}| \sin \theta$

  • Distance between two points in 3D: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$


6. Probability and Statistics

  • Probability formula: P(A) = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

  • Mean of data set: $\bar{x} = \frac{\sum x_i}{N}$

  • Variance: $\sigma^2 = \frac{\sum (x_i - \bar{x})^2}{N}$


7. Matrices and Determinants

  • Determinant of a 2x2 matrix: $\det \begin{bmatrix} a & b \\ c & d \end{bmatrix} = ad - bc$

  • Inverse of a 2x2 matrix: $A^{-1} = \frac{1}{\det(A)} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$


8. Complex Numbers

  • Modulus of a complex number: $|z| = \sqrt{x^2 + y^2}$, where z = x + iy

  • Argument of a complex number: $\text{arg}(z) = \tan^{-1}\left(\frac{y}{x}\right)$


9. Permutations and Combinations

  • Permutation formula: $P(n, r) = \frac{n!}{(n - r)!}$

  • Combination formula: $C(n, r) = \frac{n!}{r!(n - r)!}$


10. Differential Equations

  • First-order linear differential equation: $\frac{dy}{dx} + Py = Q$

  • Solution for the homogeneous equation: $y = Ce^{\int P \, dx}$


Benefits of learning Maths for JEE Mains from Vedantu’s Short Notes

  • Concise summaries of each chapter help you cover key concepts and formulas in a short amount of time.

  • These notes are perfect for JEE Mains, concentrating on topics that are most likely to appear, saving you from unnecessary details.

  • Available in a downloadable PDF format, allowing you to review and revise anywhere, anytime.

  • Important formulas and diagrams are highlighted, making it easier to grasp and remember complex concepts.

  • Short notes condense large chapters into digestible sections, aiding in memory retention for important topics.

  • These notes streamline your revision process, enabling you to cover multiple chapters faster than with standard textbooks.

  • Created by subject matter experts, these notes ensure accuracy and relevance, giving you confidence in your preparation.


Along With the JEE Main Maths Notes - Students Can Also Practice Other Study Materials

In addition to JEE Main Maths notes, we're also introducing JEE Main Maths Practice Papers 2025, Mock Tests, Sample Papers, and Previous Year Question Papers (PYQP). These materials let you put your learning into action, testing your skills just like the real exam. It's similar to practising for a big match. These tools help you get used to the exam's format, manage time, and handle tricky questions.


Combining your JEE Main notes with all these resources is a winning plan. Build confidence, tackle challenges, and get ready to conquer JEE Main 2025. Find out how these resources enhance your preparation and increase your chances of success.


Other Important Links

How It Is Helpful With Maths Notes?

JEE Main Maths Practice Papers 2025

  • Solving problems makes you better and more confident. 

  • It also helps you manage time well and gets you ready for the JEE Main Maths part.

JEE Main Maths Mock Test 2025

  • Point out the areas you need to work on, so you can concentrate on those during your review.

  • Build confidence and improve how you solve problems, matching the revision notes.

JEE Main Maths Sample Papers

  • Lets you see how well you understand and find where you need more practice.

  • Makes sure you're fully prepared for the JEE Main Maths part.

JEE Main Maths PYQP

  • Show the patterns of the real exam and test what you know, just like the revision notes.

  • Focusing on important topics from previous year's questions improves how ready you are for the exam.

JEE Main Maths Important Questions

  • Serve as a guide for students to identify which topics carry significant weightage in the exam.

  • Compile these questions and their solutions into revision notes, they create a comprehensive study resource that encompasses key concepts and problem-solving techniques.



Download Subject-wise Revision Notes for JEE Main

Access the provided table to acquire the links for downloading FREE PDFs of JEE Main Notes with Solutions categorized by subject, including Physics and Mathematics.


S.No

Subject

Revision Notes PDF

1

Physics

JEE Main Physics Notes

2

Chemistry

JEE Main Chemistry Notes



Master Your JEE Main 2025 Journey with Vedantu's Maths Notes

Achieve success in JEE Main 2025 using Vedantu's Maths Notes. They make hard concepts, formulas, and tips easy to understand. Stay organized, concentrate on important things, and practice effectively with these notes. Improve your understanding, grow confident, and excel in the exam. Vedantu's Maths Notes are free to download and will help you fully prepare for JEE Main success!


JEE Main 2024 Question Paper PDF with Solutions



JEE Main 2024 Question Paper PDF with Solutions - Session 2 (April)

FAQs on JEE Main Maths Notes 2025 PDF

1. Which is the toughest Chapter to Revise in Maths JEE Main Notes 2024?

The toughest chapter to revise in JEE Main Maths Notes 2024 can vary from person to person, but often challenging topics include advanced calculus chapters like Differential Equations or complex topics like Vector Calculus.

2. Which is the most important chapter in Maths JEE Main while learning with JEE Main notes?

The most important chapter in JEE Main Maths while learning with notes can be subjective, but foundational topics like Algebra and Coordinate Geometry are crucial as they form the basis for many other concepts.

3. Which are the major chapters to cover while using the JEE Main Maths notes?

Major chapters to cover while using JEE Main Maths notes include Algebra, Coordinate Geometry, Calculus, Trigonometry, Vectors and 3D Geometry, and Probability.

4. How revision notes are different from normal JEE Main Maths Notes?

Revision notes are usually condensed versions of normal notes, focusing on key concepts, formulas, and problem-solving techniques for quick review. They're designed to aid efficient revision closer to the exam.

5. Are JEE Main Maths notes suitable for visual learners?

JEE Main Maths notes can be suitable for visual learners if they incorporate diagrams, graphs, and illustrations. Visual aids can enhance understanding and retention of mathematical concepts.

6. How should I approach JEE Main Maths notes for effective preparation?

For effective preparation with JEE Main Maths notes, follow these steps:

  • Review theory and concepts from the notes.

  • Solve practice problems to reinforce understanding.

  • Focus on problem-solving techniques and shortcuts.

  • Create your own problem-solving annotations.

  • Regularly revise notes and practice problems.

7. Are JEE Main Maths notes useful for competitive exams besides JEE Main?

Yes, JEE Main Maths notes can be useful for other competitive exams with similar math sections, as the foundational concepts and problem-solving skills are transferable.

8. Do these JEE Main Maths Notes include advanced topics?

JEE Main Maths notes usually cover a wide range of topics, including foundational and some advanced concepts. However, if you're targeting more advanced exams, you might need additional resources for those specific topics.


Remember that effective preparation involves a combination of thorough understanding, consistent practice, and the use of well-organised notes. Adapt your study approach to your learning style and the specific requirements of your target exam.

9. What are the benefits of using Vedantu’s JEE Main Maths Notes for last-minute preparation?

Vedantu’s JEE Main Maths Notes are compact and cover essential formulas and key concepts, making last-minute revision effective and helping you recall the main points quickly.

10. Can I download the Vedantu JEE Main Maths Notes in PDF format?

Yes, Vedantu provides JEE Main Maths Notes in PDF format for easy access, allowing you to revise anytime, anywhere.

11. Are Vedantu's JEE Main Maths Notes helpful for regular practice and revision?

Vedantu’s JEE Maths Notes serve as an excellent resource for both daily practice and periodic revision, helping reinforce concepts over time.

12. How can Vedantu’s Maths Revision Notes for JEE Main help improve my exam performance?

Vedantu’s Maths Revision Notes for JEE Main focuses on core concepts and problem-solving techniques, which can help in quicker understanding, boosting your confidence during exams.

13. Can Vedantu’s JEE Main Maths Revision Notes replace full textbooks?

Vedantu’s JEE Main Maths Revision Notes are designed for quick revision and may not cover every detailed explanation like textbooks. They are best used to reinforce and revise key points.

14. Do Vedantu’s JEE Main Maths Notes include solved examples for better understanding?

Yes, Vedantu’s JEE Main Maths Notes include solved examples to provide a clear understanding of concept application, aiding in better preparation for problem-solving.

15. How often should I use Vedantu’s Maths Revision Notes for JEE Main to stay prepared?

Regularly reviewing Vedantu’s Maths Revision Notes for JEE Main throughout your preparation and using them frequently in the final weeks can keep your knowledge fresh for the exam.

16. How can Vedantu’s JEE Maths Notes aid in understanding difficult topics?

Vedantu’s JEE Maths Notes simplify challenging topics with concise explanations and key formulas, helping you grasp complex concepts more easily.

17. Are Vedantu’s JEE Main Maths Notes suitable for students who need a quick concept overview?

Yes, Vedantu’s JEE Main Maths Notes provide a quick overview of essential concepts, making them ideal for students who need efficient revisions before exams.

18. Do Vedantu’s JEE Main Maths Notes cover formula-based questions?

Vedantu’s JEE Main Maths Notes include important formulas and examples, making it easier to tackle formula-based questions in the exam.

19. How are Vedantu’s JEE Main Maths Revision Notes structured for each chapter?

Vedantu’s JEE Main Maths Revision Notes are organised by chapter, presenting key points, formulas, and essential examples in an easy-to-follow format.

20. Can Vedantu’s Revision Notes for JEE Main Maths PDF be used for quick mock test revisions?

Vedantu’s Revision Notes for JEE Main Maths PDF are perfect for quick reviews before mock tests, helping you cover important points efficiently.