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15 Most Important Topics for JEE Mains 2025 Mathematics FAQs
Ques. How to prepare for the JEE Main 2025 Maths section in 15 days?
Ans. To prepare for the JEE Main 2025 Maths section in 15 days, focus on the most important and high-weightage topics. Practice previous years’ papers, take mock tests, and revise key formulas and concepts daily.
Ques. What are the most important topics for JEE Mains 2025 Mathematics?
Ans. Some of the most important topics for JEE Main Mathematics include Matrices and Determinants, Vector Algebra, 3D Geometry, Application of Derivatives, Differential Equations, Binomial Theorem, and Sequences and Series. These topics are high-scoring and generally asked in the exam.
Ques. Is the maths section in JEE Main 2025 Session 1 going to be tough?
Ans. The difficulty level of the JEE Main exam varies each year, but the Mathematics section is usually moderate to challenging. However, with proper preparation and focus on important topics, it can be managed effectively.
15 Most Important Topics For JEE Mains Mathematics 2025, Preparation Tips
JEE Main 2025 Session 1 exam is just 15 days away. Uncover the 15 Most Important Topics for JEE Mains 2025 Mathematics and tips on how to effectively prepare them in order to score high in this guide.
Pratibha Bohra8 Jan, 2025
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15 Most Important Topics for JEE Mains Mathematics 2025 :
With just a few weeks left for the
JEE Main 2025 Session 1
, which is scheduled from January 22nd to 30th, 2025, it’s time to focus on the most vital aspects of the exam. As the countdown begins, students are gearing up to finalize their preparations. The Mathematics section of the
JEE Main
examination plays a key role in securing a good rank, and mastering it can make a significant difference in aspirants overall scores.
Therefore, in the limited time left, prioritizing the key math topics is far more effective than trying to cover the entire
JEE Mains Mathematics Syllabus 2025
. By concentrating on these 15 most important topics for JEE Mains Mathematics 2025, students can make the most of their time, improve their problem-solving speed, and maximize their chances of scoring well in the exam.
What Are the 15 Most Important Topics for JEE Mains Mathematics?
For aspirants preparing for the JEE Main 2025 exam, it’s crucial to focus on the three major subjects: Physics, Chemistry, and Mathematics. Among these, students often find the Mathematics section the most challenging. However, in the remaining time, to score high, it is important to focus on specific topics that not only have a high weightage but also frequently appear in the exam.
Therefore, based on the previous year's trend, here are the 15 most important topics for JEE Main 2025 Mathematics, which are part of the official JEE Main Mathematics syllabus and are essential for scoring well in the exam.
Properties of the Adjoint of a Matrix (Matrices and Determinants):
Matrices and determinants are an important part of the
JEE Main syllabus
. The adjoint of a matrix is important for solving matrix-related problems. The properties of adjoint matrices help in simplifying tough determinant and matrix operations, which are commonly asked in the exam.
System of Linear Equations (Matrices and Determinants):
A system of linear equations is often represented in matrix form. Applicants should be able to solve systems of linear equations using methods like Cramer's rule, matrix inversion, and determinant-based solutions. This topic is vital for gaining proficiency in algebraic operations involving matrices.
Product of Vectors (Vector Algebra):
Vectors are a fundamental concept in physics and mathematics. The product of vectors, both dot and cross products, plays an important role in solving various problems related to forces, geometry, and motion. Understanding the product of vectors is crucial for solving geometry and physics-based problems.
Projection of Vectors (Vector Algebra):
The projection of one vector onto another is a common question in vector algebra. This topic is helpful in problems related to distances, angles between vectors, and resolving vectors into components. Mastery of this concept is essential for tackling higher-level problems in 3D geometry and physics.
Shortest Distance Between Lines (3D Geometry):
The shortest distance between two skew lines in 3D space is a common question in JEE Main. Understanding how to find this distance using vector methods or formulas is essential for solving 3D geometry problems. It helps in mastering spatial visualization and problem-solving techniques.
Types of Functions (Sets, Relations, and Functions):
This topic covers different types of functions, such as one-to-one, onto, and inverse functions. Knowing how to classify functions and understanding their properties is essential for solving problems in calculus, algebra, and geometry.
To Check Interval of Increasing and Decreasing Functions (Application of Derivatives):
By using derivatives, students can determine the intervals where a function is increasing or decreasing. This topic is useful for solving optimization problems, such as finding the maximum or minimum values of a function, and is often tested in the exam.
King’s Rule (Definite Integration):
King’s Rule is a technique used in integration to simplify the evaluation of definite integrals. It’s particularly useful when dealing with areas under curves and can significantly speed up calculations, making it a must-learn topic for integral calculus.
Area Bounded by Parabola and Line (Area Under the Curves):
This topic focuses on calculating the area between a parabola and a straight line. This is a standard problem in integral calculus and helps in understanding the concept of definite integrals and the geometric interpretation of integrals.
Linear Differential Equation (Differential Equations):
Differential equations describe the relationship between a function and its derivatives. This topic is important for solving real-world problems, especially in physics and engineering. JEE Main often includes problems based on solving linear differential equations using separation of variables and other methods.
General Term of an AP (Sequences and Series):
The general term of an arithmetic progression (AP) is an important concept in sequences and series. Knowing how to derive the nth term of an AP is fundamental for solving related problems. This topic is usually asked in both the Mains and
JEE Advanced
levels.
Sum of n Terms of AP and GP (Sequences and Series):
The sum of the first n terms of an arithmetic progression (AP) and geometric progression (GP) is important for solving problems involving series. This concept is widely used in questions related to financial mathematics, physics, and algebra.
General Term of Binomial Expansion (Binomial Theorem):
The Binomial Theorem is a key concept in algebra. Understanding how to find the general term and middle term of a binomial expansion helps students solve algebraic problems more efficiently. This topic is vital for simplifying expressions and solving tough equations.
Relation Between Roots and Coefficients (Quadratic Equations):
This topic helps students understand the relationship between the roots and coefficients of quadratic equations. It is essential for solving problems that require finding roots or using properties like the sum and product of roots.
Different Forms of Equation of Line (Straight Lines):
Mastering the different forms of the equation of a line, such as slope-intercept form, point-slope form, and general form, is essential for solving problems related to coordinate geometry. This topic also helps in understanding the geometric interpretation of lines in a plane.
With just around fifteen days remaining until the final exam day, focusing on these top 15 important topics for JEE Main 2025 Mathematics can greatly enhance an applicant's chances of success. By prioritizing these high-scoring topics, one can aim to secure a solid 60 and above marks.
Preparation Tips For JEE Main Mathematics
Understand the Basics Thoroughly:
Start by building a solid understanding of the fundamentals of each topic. Don’t rush through them; take time to understand the core concepts. This foundation will make it easier to solve tough questions later.
Practice Regularly:
Practice is key to mastering these topics. Solve as many problems as possible, starting with basic questions and gradually moving on to more challenging ones. The more the practice, the more confident one will become in handling any question during the exam.
Use Previous Year Papers:
Reviewing JEE previous years’ papers for Mathematics gives applicants a clear idea of the types of questions that frequently appear from these topics. It also helps in practicing time management and getting used to the exam format.
Focus on Time Management:
Time management is crucial during exam preparation. Allocate a fixed time for each topic and stick to it. In the final 15 days, aim to complete a set number of problems daily from each of these topics.
Use Shortcuts and Formulae:
Learn and practice important formulas and shortcuts that will help save time during the exam. For example, understanding the properties of determinants or mastering the different forms of the equation of a line can help solve problems faster.
Seek Help When Stuck:
If aspirants are having trouble with a specific topic or concept, it's important not to hesitate in seeking help. Whether through online resources, books, or teachers, clearing doubts quickly will ensure valuable time is not wasted.
A great way to get help is through the
JEE Wallah
YouTube channel, where subject matter experts post FREE JEE Online Classes. These classes simplify complex topics and provide easy-to-understand explanations, helping aspirants grasp difficult concepts with ease.
Work on Weak Areas:
Applicants must focus on identifying topics that they find the most challenging and dedicate more time to them. Practicing those areas intensively can improve their understanding and speed.
Revise Regularly:
In the final days leading up to the exam, regular revision is essential. Revisit the key formulas, concepts, and problem-solving methods. This will keep them fresh in applicants minds and help them recall them easily during the exam.
To make revision more effective, aspirants can use
JEE Revision Books by PW
, which are designed to cover all key topics in a concise and easy-to-understand manner. These books are perfect for quick revision and ensuring that no important concept is left out, boosting confidence before the big day.
Solve Mock Tests:
Taking mock tests under exam conditions will help applicants assess their preparation and identify areas that need more attention. This also helps improve their time management and boosts overall confidence.
To further enhance the final JEE Main 2025 preparation, applicants can utilize the
JEE Mock Test Series by PW,
as it offers an excellent opportunity for JEE aspirants to refine their skills, master key concepts, and analyze their performance. With its focus on exam readiness and affordability, this mock test series can serve as a stepping stone towards achieving a desired JEE rank.
Study Material For JEE Main 2025 Preparation
Physics Wallah (PW)
offers comprehensive study material for
JEE 2025
,
designed to help students excel in this competitive exam. The material includes detailed theory notes, practice questions, previous years’ papers, and mock tests for Physics, Chemistry, and Mathematics. Each topic is explained with clear concepts and illustrated examples, ensuring a strong foundation
