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Most Scoring Topics in JEE Mathematics

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Last updated date: 25th Jul 2024
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Mastering the Most Scoring Topic in JEE Mathematics: Tips and Tricks

Do you find Math the most difficult and lengthy subject in JEE Question Paper? Are you puzzled with the syllabuses for JEE, JEE Advanced, and board exams?  If you have started preparing and are confused about analyzing which is easy and scoring chapters for JEE. Don't beat yourself up or give up! Vedantu will help you overcome these obstacles.


JEE Mathematics consists of around 30 chapters split into six units: Algebra, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, and Vectors. These different elements are actually highly linked. A large number of calculus questions, for example, can only be solved with a strong understanding of trigonometry. In this article, we will look at the most popular JEE Mathematics topics.

Most Important and Highest Scoring Topics JEE for Mathematics 2023

After reviewing and analyzing previous years' question papers, the table below gives the most relevant Mathematics topics, classified by chapter, to help you perform well in the JEE 2023 Exam.


Sets, Relations and Functions

  • Subsets, Proper Subset, Improper Subset, Intervals 

  • Union of sets, Properties of union

  • Intersection of set, Properties of Intersection

  • Cardinal number of some sets

  • Domain and Range of Relation

  • Relations, Types of Relations

  • Functions, Types of Functions


Complex Number and Quadratic equations

  • Iota and powers of Iota

  • Complex number

  • Conjugate of complex numbers and their properties

  • Modulus of complex number and its Properties

  • Euler form of complex number 


Matrices and Determinants

  • Matrices, order of matrices

  • Row and column matrix

  • Multiplication of two matrices

  • Properties of matrix multiplication

  • Transpose of a matrix

  • Transpose conjugate of a matrix and properties 


Sequence and Series

  • Sequences, Series and Progression

  • Arithmetic Progression

  • Important Properties of an AP - Part 1

  • Important Properties of an AP - Part 2

  • Sum of n terms of an AP 


Mathematical Reasoning

  • Truth Table

  • Relation Between Set Notation and Truth Table

  • Converse, Inverse, and Contrapositive

  • Tautology and Contradiction

  • Algebra of Statements 


Statistics and Probability

  • Mean

  • Median

  • Mode

  • Dispersion (Range, Mean Deviation)

  • Dispersion (Variance and Standard Deviation) 


Vector & 3D

  • Types of Vectors

  • Direction Cosines and Direction Ratio

  • Component of vector and Vector Joining Two Points

  • Multiplication of a Vector by a Scalar

  • Section Formula 


Geometry (Straight Line and Circle)

  • Coordinate Axes

  • Distance between two points

  • Section Formula

  • Centroid

  • Incentre 

  • Introduction to 3D Coordinate System

  • Section Formula, Direction Cosines and Direction Ratio

  • Equations for a Line in Space

  • Angle Between Two Lines

  • Shortest Distance between Two Lines 


Limit, Continuity, and Differentiability 

  • Algebra of Limits

  • Limit of Indeterminate Form and Algebraic limit

  • Limit of Algebraic function

  • Algebraic Function of type 'infinity (m)

  • Trigonometric Limits 


Integral Calculus

  • Integration as Reverse Process of Differentiation

  • Fundamental Formulae of Indefinite Integration (Trigonometric Functions)

  • Some Special Integration

  • Application of Special Integral Formula (Part 1)

  • Integration by Parts 


Trigonometry 

  • Trigonometric Ratio for Compound Angles (Part 1)

  • Measurement of Angle

  • Trigonometric Functions of Acute Angles

  • Trigonometric Identities 


JEE Easy Scoring and Important Chapters - 2023 

4 Marks Questions Chapter:

  • Statistics

  • Height and Distance

  • Mathematical Reasoning

  • Quadratic equation

  • Area


8 Marks Questions Chapter:

  • Matrices and Determinant

  • Sets, Relation, and function 

  • Vector and 3D

  • Limit, continuity, and derivability


12 Marks Questions Chapter:

  • Conic section 


Well, Now you may have questions about how to cover and prepare for so many topics. Tension not! Scroll down to learn the easy way to prepare for JEE Mathematics.


How to Prepare for JEE May 2023 Mathematics

Firstly make a list of maths formulas and key ideas, which is a good thing to have on hand. It is advisable to create your own formula list rather than rely on which is already accessible or created by someone else because you will know where each formula is written. It will also serve as practice, on the other hand.


Here are Some areas that need to be given priority include the following:


Coordinate Geometry:

Try to make links between the equations as you go through them; this will help you recall them during the exam. Remember to include geometrical information in your notes, especially for circles and straight lines. 


Trigonometry

Split your trigonometry notes into the following four groups: basic formulae, trigonometric equations, inverse, and triangle solutions. But this chapter uses a lot of formulas. Remember that the JEE questions will probably be based on the more typical outcomes during practice.


Algebra

This section is largely made up of properties rather than equations. Understand how symmetric sums of roots and equation transformations arise in quadratic or equation theory. The geometric interpretation of certain formulae should be changed in Complex Numbers to make them more precise and simple to memorise. Probability, permutations and combinations, and binomials are all interconnected and should be modified together. Considering the last two are less formula-based and more focused on problem-solving skills, highlighting a few sample problems to revise alongside them is a good idea. 


Calculus

Candidates should understand the standard limits, differentiation formulae, and standard integration. In addition, study the theoretical necessary for Continuity and Differentiability and the properties of Definite Integration. 


Vectors and 3-D Geometry

Since they are linked, they can be completed simultaneously. The questions in this section likely involve standard formulae. 


Topic Wise High Weightage Chapters for JEE

The table below provides a full breakdown of the number of questions, total marks for the relevant topic, and weighting for each topic.



Conclusion

The concept of preparing for JEE is very simple and clear. The easiest topic in each of these units is the highest-scoring topic. First, start with Limits and Continuity, Permutation and Combination, Quadratic Equations, Complex Numbers, Binomial Theorem, Circles, Sequences and Series, and Differential Equations when you've finished the most important topics. Then focus on the simpler and less important subjects, such as Inverse Trigonometry, Application of Derivatives, Heights, Distances, and Statistics. Then Sets, Relations, and Functions which are very basic. Also, With live online tutoring from VEDANTU, one of the top JEE institutes that provides streamlined courses and well-organized study materials, you can make even the most difficult tasks easy. To guarantee your success in the JEE and NEET UG exams, register right away.

FAQs on Most Scoring Topics in JEE Mathematics

1. What are the important chapters in Mathematics for JEE?

Algebra, Calculus, Trigonometry, Coordinate Geometry, and Vectors are JEE important chapters in Mathematics.

2. What is the minimum marks required in Maths for JEE?

Candidates must have scored at least 75% in their grade 12th board exams. The minimum score for reserved categories is 65%.

3. Is it necessary to join coaching for Mathematics in JEE?

It is not mandatory to enrol in Mathematics coaching for JEE. Coaching, on the other hand, can assist you in better comprehending concepts, solving difficult difficulties, and receiving guidance from qualified teachers. Self-study and practise problems can also help you prepare for JEE.

4. Which are the recommended books for JEE Mathematics preparation?

The recommended books for JEE Mathematics preparation are listed below:


Book

Author

IIT Mathematics

M.L. Khanna

Differential Calculus

Das Gupta

Class XI and XII Mathematics

R.D. Sharma

Mathematics for JEE

Cengage (Publisher)

Integral Calculus for IIT-JEE

Amit Agarwal

Calculus and Analytic Geometry

Thomas and Finney

Problems in Calculus of One Variable

I. A. Maron

Higher Algebra

Hall and Knight

5. What is the weightage of Mathematics in JEE?

Mathematics carries a weightage of 100 marks out of 300 marks in JEE. It is an important section and contributes significantly to the overall score.