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Scoring Topics in JEE Main 2025 Mathematics: Co-ordinate Geometry, Limit Calculus

Last update: Mar 07, 2025

The National Testing Agency (NTA) has released the syllabus of JEE Main 2025 Mathematics jeemain.nta.ac.in. NTA did not make any changes to the mathematics syllabus this year. Last year the syllabus went through some major changes. JEE Main 2025 Mathematics Syllabus is mainly based on NCERT. Candidates aspiring for JEE Main 2025 consider mathematics as one of the scoring subjects due to its high weightage. Mathematics has a 35% weighatge in JEE Mains 2025 Syllabus. Hence the candidates need to be aware of the Scoring Topics in Mathematics for JEE Main 2025. Sets, Relations, and Functions, Complex Numbers and Quadratic Equations, Matrices, and Determinants are some scoring topics in JEE Main 2025 Mathematics. In this article, a deep insight into Scoring topics in Mathematics for JEE Mai 2025 will be discussed
 

Read: JEE Main 2025 Exam Pattern

JEE Main Mathematics 2025: Overview

JEE Main 2025 Mathematics syllabus has 14 Units from class 11 and class 12. Each unit includes 5 to 10 topics. If described properly, the Mathematics syllabus for JEE Main covers 30 chapters and these chapters are divided into 6 units. These 6 units include trigonometry, Vectors, Integral Calculus, Algebra, Analytical Geometry, and Differential Calculus. All these units may seem different at first glance but they are closely connected. Many topics are interrelated to each other. For example, a strong understanding of trigonometry is required for solving calculus problems.

Also Check: Calculus is Essential for Preparing for the JEE 2025

Scoring Topics in Mathematics for JEE Main 2025: High Scoring Topics

Based on previous years’ paper analysis, the following topics have had a significant weightage:

Chapter Important Topics
Sets, Relations, and Functions Subsets, Union, Intersection, Cardinal Number, Domain & Range
Complex Numbers and Quadratic Equations Iota, Conjugate, Modulus, Euler Form
Matrices and Determinants Matrix Operations, Properties, Transpose
Permutations and Combinations Arrangements, Dictionary Rank, Geometric Permutations
Binomial Theorem Expansions, General Term, Properties
Sequences and Series AP, Sum of n Terms, Important Properties
Limits, Continuity & Differentiability Indeterminate Forms, Trigonometric Limits
Integral Calculus Indefinite Integrals, Integration by Parts, Special Formulas
Differential Equations Formation, Homogeneous and Linear Equations, Bernoulli’s Equation
Coordinate Geometry Distance Formula, Section Formula, Centroid
3D Geometry Line Equations, Angle Between Lines, Shortest Distance
Vector Algebra Direction Cosines, Components, Multiplication by Scalars
Statistics & Probability Mean, Median, Variance, Standard Deviation
Trigonometry Compound Angles, Trigonometric Identities

Scoring Topics in Mathematics For JEE Main 2025: Weightage

Binominal Theorem, Permutations and Combinations etc. in JEE Main 2025 Syllabus is one of the low weightage chapters. Detailed weightage breakdown for the mathematics syllabus is given below:

Chapter Name Question Count Weightage
Bnomial Theorem and its Applications 10 3.33%
Permutations and Combinations 10 3.33%
Vector Algebra 15 5.00%
Trigonometry 17 5.67%
Three-Dimensional Geometry 17 5.67%
Complex Numbers and Quadratic Equations 18 6.00%
Differential Equations 18 6.00%
Matrices and Determinants 19 6.33%
Sequence and Series 19 6.33%
Statistics and Probability 20 6.67%
Sets, Relations, and Functions 26 8.67%
Integral Calculus 32 10.67%
Limit, Continuity, and Differentiability 35 11.67%
Co-ordinate Geometry 44 14.67%

JEE Main 2025 Mathematics Syllabus: Reduced Chapters

NTA revised the syllabus last year. However this year the syllabus has remained the same. Candidates can refer to the list below to find the deleted chapters:

  • Mathematical Reasoning
  • Three Dimensional Geometry
  • Co-Ordinate Geometry
  • Complex Numbers and Quadratic Equations

JEE Main 2025 Mathematics Chapter-Wise Weightage

Under this section chapter wise weightage topics from low-weightage topics will be discussed.

High Weightage Chapters from Co-ordinate Geometry

  • Circle (Definition), Ellipse, Hyperbola
  • Circumcentre and Orthocentre
  • Area of Triangle, Distance of a Point from a Line
  • Locus and Its Equation, Family of Circles

High Weightage Chapters from Limit, Continuity, and Differentiability

  • Maxima and Minima of a Function
  • Trigonometric Limits, Continuity, Monotonicity
  • Differentiability and Its Theorems
  • L’ Hospital’s Rule, Global Maxima and Minima

High Weightage Chapters from Integral Calculus

  • Area Bounded by Two Curves
  • Definite Integration, Integration Using Substitution
  • Newton-Leibniz’s Formula, Integration by Parts
  • Application of Periodic Properties in Definite Integration

High Weightage Chapters from Sets, Relations, and Functions

  • Composition of Function, Reflexive, Symmetric & Transitive Relation
  • Cardinal Number of Some Sets, Domain & Range of Function

High Weightage Chapters from Statistics and Probability

  • Variance and Standard Deviation
  • Mean, Conditional Probability

JEE Main 2025 Mathematics: Moderate-Weightage Topics

Under this section moderate weightage chapters will be discussed:

Scoring Topics from Matrices and Determinants

  • Multiplication of Matrices, Determinants, System of Linear Equations
  • Singular & Non-Singular Matrices, Matrix Transpose, Adjoint Properties

Scoring Topics from Sequence and Series

  • Arithmetic & Geometric Progression, Sum of n-Terms
  • Common Series, Sequences & Progression

Scoring Topics from Complex Numbers and Quadratic Equations

  • Quadratic Equations, Relation Between Roots & Coefficients
  • Modulus and Cube Roots of Unity
  • Algebraic Operations on Complex Numbers

Scoring Topics from Differential Equations

  • Linear Differential Equations, Variables Separable
  • Homogeneous Differential Equations

Scoring Topics from Three-Dimensional Geometry

  • Basics of 3D Coordinates, Distance & Section Formulas

JEE Main 2025 Mathematics: Low-Weightage Topics

Low weightage topics do not refer to less focus for less practice. It means that candidates can easily build a command over these topics in less amount of time. Candidates preparing for this exam can leave these chapters for the last phase of preparation.

Important Topics from Trigonometry

  • Trigonometric Equations & Identities
  • Double Angle Formula, Inverse Trigonometric Function

Important Topics from Vector Algebra

  • Dot Product, Cross Product of Vectors

Important Topics from Binomial Theorem

  • General Term of Binomial Expansion
  • Finding Remainder Using Binomial Theorem

Important Topics from Permutations and Combinations

  • Applications of Permutations and Selections

JEE Main 2025 Mathematics: Easy and High-Scoring Chapters

Some topics require less effort but offer high returns in terms of marks. These include:

  • Statistics – 4 marks
  • Height & Distance – 4 marks
  • Mathematical Reasoning – 4 marks
  • Matrices & Determinants – 8 marks
  • Sets, Relations & Functions – 8 marks
  • Vectors & 3D Geometry – 8 marks
  • Quadratic Equations – 4 marks
  • Area – 4 marks
  • Limit, Continuity & Differentiability – 8 marks
  • Conic Sections – 12 marks

Preparation Tips for JEE Main 2025 Mathematics

  • Begin with the Basics: Strengthen basic concepts before moving to advanced problems.
  • Practice Regularly: Solve previous years’ question papers and attempt mock tests.
  • Time Management: Allocate sufficient time to high-weightage topics first then proceed with the moderate and low-weightage topics.
  • Understand Problem-Solving Techniques: Focus on formula application rather than rote learning.
  • Revise and Reassess: Regularly revise key concepts and test yourself with timed quizzes.

JEE Main 2025 Mathematics requires strategic preparation. While all topics are important for preparation, focusing on high-scoring areas can significantly improve a candidate’s performance. With consistent practice and smart study techniques, candidates can achieve a high score in mathematics.

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