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Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Does this book cover the latest JEE Main syllabus and exam pattern?
    A1

    Yes, it strictly follows the updated JEE Main syllabus and includes MCQs and numerical-based questions as per the latest pattern.

  • Q2
    How many years of previous year questions are included?
    A2

    The book contains 24 years of PYQs (2002-2024) with detailed solutions.

  • Q3
    Is this book useful for both Class 11 and Class 12 students?
    A3

    Absolutely! It covers all topics from NCERT Class 11 & 12 Mathematics relevant to JEE Main.

  • Q4
    Are there any shortcut tricks or important formulas included?
    A4

    Yes, key formulas and problem-solving tricks are highlighted for quick revision.

  • Q5
    Can this book be used for last-minute revision?
    A5

    Definitely! The topicwise arrangement makes it ideal for quick revisions before exams.

  • Q6
    Does it include questions from both JEE Main and Advanced?
    A6

    This book focuses exclusively on JEE Main questions, but the concepts also help in JEE Advanced.

  • Q7
    Is the language easy to understand?
    A7

    Yes, the solutions are written in a simple and student-friendly manner.

  • Q8
    Are diagrams and graphs provided for coordinate geometry and 3D geometry questions?
    A8

    Yes, detailed diagrams and graphical explanations are included where necessary.

  • Q9
    How does this book compare with other JEE Main Mathematics books?
    A9

    Its unique chapterwise & topicwise PYQ approach makes it stand out for systematic preparation.

  • Q10
    Is this book useful for other engineering entrance exams besides JEE Main?
    A10

    Yes, it is beneficial for BITSAT, WBJEE, and other state-level engineering exams.

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CLASS - 11
1. Sets
2. Relations and Functions
3. Trigonometric Functions
4. Complex Numbers and Quadratic Equations
5. Permutations and Combinations
6. Binomial Theorem and Its Simple Applications
7. Sequence and Series
8. Straight Lines and Pairs of Straight Lines
9. Conic Sections
10. Limits and Derivatives
11. Statistics
12. Probability

CLASS - 12
13. Relations and Functions
14. Inverse Trigonometric Functions
15. Matrices
16. Determinants
17. Continuity and Differentiability
18. Applications of Derivatives
19. Integrals
20. Applications of Integrals
21. Differential Equations
22. Vector Algebra
23. Three-Dimensional Geometry
24. Probability
JEE (MAIN) SYLLABUS

Part I: MATHEMATICS

UNIT 1: SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation; union, intersection, and complement of sets and their algebraic properties;
Power set; relations, type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions. 

UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS:
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form +ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, nature of roots, the formation of quadratic equations with given roots. 

UNIT 3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, types of matrices, determinants, and matrices of order two and three; evaluation of determinants; area of triangles using determinants; Adjoint and inverse of a square matrix;
Test of consistency and solution of simultaneous linear equations in two or three variables using matrices. 

UNIT 4: PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting, permutations, and combinations; the meaning of P(n, r) and C(n, r); and simple applications. 

UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term, middle term, and simple applications. 

UNIT 6: SEQUENCE AND SERIES:
Arithmetic and geometric progressions, insertion of arithmetic and geometric means between two given numbers, Relation between A.M. and G.M. 

UNIT 7: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:
Real-valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic, and exponential functions; inverse functions. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit
functions; derivatives of order up to two, Applications of derivatives: Rate of change of quantities, monotonic-increasing and decreasing functions, Maxima and minima of functions of one variable.

UNIT 8: INTEGRAL CALCULUS:
Integral as an antiderivative, Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type
The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves.

UNIT 9: DIFFERENTIAL EQUATIONS:
Ordinary differential equations, their order and degree, the solution of a differential equation by the method of separation of variables, and the solution of a homogeneous and linear differential equation of the type

UNIT 10: COORDINATE GEOMETRY:
Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis. Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, the coordinates of the centroid, the orthocenter, and the circumcenter of a triangle. Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and center, the equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the center at the origin, and sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms.

UNIT 11: THREE DIMENSIONAL GEOMETRY :
Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines, and the angle between two intersecting lines. Equation of a line; skew lines, the shortest distance between them, and its equation. UNIT 12: VECTOR ALGEBRA :
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional spaces, scalar and vector products.

UNIT 13: STATISTICS AND PROBABILITY :
Measures of dispersion: calculation of the mean, median, and mode of grouped and ungrouped data; calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Bayes's theorem, probability distribution of a random variable.

UNIT 14: TRIGONOMETRY :
Trigonometric identities and trigonometric functions, inverse trigonometric functions, and their properties.

Part II: APTITUDE TEST
UNIT - 1 Awareness of persons, buildings, materials, objects, and textures related to architecture and the built environment, Visualizing three-dimensional objects from two-dimensional drawings. Visualizing different sides of three-dimensional objects, Analytical Reasoning Mental Ability (Visual, Numerical, and Verbal)
UNIT 2: Three-dimensional perception: Understanding and appreciation of scale and proportions of objects, building forms and elements, color, texture, harmony, and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms, both 2D and 3D; union, subtraction, rotation; development of surfaces and volumes; generation of plans, elevations, and 3D views of objects; creating two-dimensional and three-dimensional compositions using given shapes and forms.

Part III: PLANNING
UNIT-1 GENERAL AWARENESS. General knowledge questions and knowledge about prominent cities, development issues, government programs, etc. 

UNIT 2: SOCIAL SCIENCES
The idea of nationalism, nationalism in India, pre-modern world, 19
th-century global economy, colonialism and colonial cities, industrialization, resources and development, types of resources, agriculture, water, mineral resources, industries, national economy; Human Settlements. Power-sharing, federalism, political parties, democracy, the constitution of India. Economic development: economic sectors, globalization, the concept of development, poverty; population structure, social exclusion and inequality, urbanization, rural development, and colonial cities. UNIT 3: THINKING SKILLS
Comprehension (unseen passage); map reading skills, scale, distance, direction, area, etc.; critical reasoning; understanding of charts, graphs, and tables; basic concepts of statistics and quantitative reasoning.

Arihant JEE Main Mathematics 24 Years Chapterwise Topicwise Solved Papers is a comprehensive and meticulously designed book for aspirants preparing for the Joint Entrance Examination (JEE Main). Authored by Vishal Mehta and Sachin Kumar and published by Arihant Prakashan, this book serves as an indispensable resource for mastering JEE Main Mathematics. It includes 24 years of previous year questions (PYQs) categorized chapterwise and topicwise, ensuring systematic preparation aligned with the latest JEE Main syllabus.

Key Features of the Book:

1. Extensive Coverage of JEE Main Syllabus—The book is structured according to the NCERT Class 11 & 12 syllabus, covering all essential topics such as sets, relations & functions, trigonometry, calculus, algebra, coordinate geometry, probability, vectors, and 3D geometry.
2. Chapterwise & Topicwise Solved Papers—Previous year questions from 2002 to 2024 are segregated into chapters and subtopics, helping students identify important trends and frequently asked concepts.
3. Detailed & Step-by-Step Solutions—Each question is accompanied by a well-explained solution, ensuring clarity of concepts and problem-solving techniques.
4. Strictly Based on Latest Exam Pattern—The book follows the latest JEE Main exam pattern, including MCQs and numerical-based questions, making it highly relevant for current aspirants.
5. Concept Clarity & Quick Revision—The structured arrangement of questions from basic to advanced levels aids in gradual learning and quick revision before exams.
6. Error-Free & Authentic Solutions—All solutions are verified by subject experts, ensuring accuracy and reliability.
7. Important Formulas & Shortcuts—Key formulas and tricks are highlighted to help students solve problems faster and more efficiently.
8. Self-Assessment & PracticeAmple practice questions from previous years help students evaluate their preparation and improve speed and accuracy.

Why Choose This Book?

1. Trusted by Toppers—Arihant’s JEE The main series is highly recommended by top rankers and coaching institutes.
2. Time-Saving Preparation—The topic-wise segregation of questions helps students focus on high-weighting areas.
3. Enhances Problem-Solving Skills— The variety of questions improves analytical and logical thinking, crucial for JEE Main.
4. Perfect for Last-Minute Revision—The concise yet comprehensive format makes it ideal for quick revisions and mock tests.

Whether you are starting your JEE Main preparation or looking for a reliable question bank, this book is a must-have resource to strengthen conceptual understanding, improve accuracy, and boost confidence for the exam.

CLASS - 11
1. Sets
2. Relations and Functions
3. Trigonometric Functions
4. Complex Numbers and Quadratic Equations
5. Permutations and Combinations
6. Binomial Theorem and Its Simple Applications
7. Sequence and Series
8. Straight Lines and Pairs of Straight Lines
9. Conic Sections
10. Limits and Derivatives
11. Statistics
12. Probability

CLASS - 12
13. Relations and Functions
14. Inverse Trigonometric Functions
15. Matrices
16. Determinants
17. Continuity and Differentiability
18. Applications of Derivatives
19. Integrals
20. Applications of Integrals
21. Differential Equations
22. Vector Algebra
23. Three-Dimensional Geometry
24. Probability

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Does this book cover the latest JEE Main syllabus and exam pattern?
    A1

    Yes, it strictly follows the updated JEE Main syllabus and includes MCQs and numerical-based questions as per the latest pattern.

  • Q2
    How many years of previous year questions are included?
    A2

    The book contains 24 years of PYQs (2002-2024) with detailed solutions.

  • Q3
    Is this book useful for both Class 11 and Class 12 students?
    A3

    Absolutely! It covers all topics from NCERT Class 11 & 12 Mathematics relevant to JEE Main.

  • Q4
    Are there any shortcut tricks or important formulas included?
    A4

    Yes, key formulas and problem-solving tricks are highlighted for quick revision.

  • Q5
    Can this book be used for last-minute revision?
    A5

    Definitely! The topicwise arrangement makes it ideal for quick revisions before exams.

  • Q6
    Does it include questions from both JEE Main and Advanced?
    A6

    This book focuses exclusively on JEE Main questions, but the concepts also help in JEE Advanced.

  • Q7
    Is the language easy to understand?
    A7

    Yes, the solutions are written in a simple and student-friendly manner.

  • Q8
    Are diagrams and graphs provided for coordinate geometry and 3D geometry questions?
    A8

    Yes, detailed diagrams and graphical explanations are included where necessary.

  • Q9
    How does this book compare with other JEE Main Mathematics books?
    A9

    Its unique chapterwise & topicwise PYQ approach makes it stand out for systematic preparation.

  • Q10
    Is this book useful for other engineering entrance exams besides JEE Main?
    A10

    Yes, it is beneficial for BITSAT, WBJEE, and other state-level engineering exams.

JEE (MAIN) SYLLABUS

Part I: MATHEMATICS

UNIT 1: SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation; union, intersection, and complement of sets and their algebraic properties;
Power set; relations, type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions. 

UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS:
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form +ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, nature of roots, the formation of quadratic equations with given roots. 

UNIT 3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, types of matrices, determinants, and matrices of order two and three; evaluation of determinants; area of triangles using determinants; Adjoint and inverse of a square matrix;
Test of consistency and solution of simultaneous linear equations in two or three variables using matrices. 

UNIT 4: PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting, permutations, and combinations; the meaning of P(n, r) and C(n, r); and simple applications. 

UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term, middle term, and simple applications. 

UNIT 6: SEQUENCE AND SERIES:
Arithmetic and geometric progressions, insertion of arithmetic and geometric means between two given numbers, Relation between A.M. and G.M. 

UNIT 7: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:
Real-valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic, and exponential functions; inverse functions. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit
functions; derivatives of order up to two, Applications of derivatives: Rate of change of quantities, monotonic-increasing and decreasing functions, Maxima and minima of functions of one variable.

UNIT 8: INTEGRAL CALCULUS:
Integral as an antiderivative, Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type
The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves.

UNIT 9: DIFFERENTIAL EQUATIONS:
Ordinary differential equations, their order and degree, the solution of a differential equation by the method of separation of variables, and the solution of a homogeneous and linear differential equation of the type

UNIT 10: COORDINATE GEOMETRY:
Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis. Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, the coordinates of the centroid, the orthocenter, and the circumcenter of a triangle. Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and center, the equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the center at the origin, and sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms.

UNIT 11: THREE DIMENSIONAL GEOMETRY :
Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines, and the angle between two intersecting lines. Equation of a line; skew lines, the shortest distance between them, and its equation. UNIT 12: VECTOR ALGEBRA :
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional spaces, scalar and vector products.

UNIT 13: STATISTICS AND PROBABILITY :
Measures of dispersion: calculation of the mean, median, and mode of grouped and ungrouped data; calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Bayes's theorem, probability distribution of a random variable.

UNIT 14: TRIGONOMETRY :
Trigonometric identities and trigonometric functions, inverse trigonometric functions, and their properties.

Part II: APTITUDE TEST
UNIT - 1 Awareness of persons, buildings, materials, objects, and textures related to architecture and the built environment, Visualizing three-dimensional objects from two-dimensional drawings. Visualizing different sides of three-dimensional objects, Analytical Reasoning Mental Ability (Visual, Numerical, and Verbal)
UNIT 2: Three-dimensional perception: Understanding and appreciation of scale and proportions of objects, building forms and elements, color, texture, harmony, and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms, both 2D and 3D; union, subtraction, rotation; development of surfaces and volumes; generation of plans, elevations, and 3D views of objects; creating two-dimensional and three-dimensional compositions using given shapes and forms.

Part III: PLANNING
UNIT-1 GENERAL AWARENESS. General knowledge questions and knowledge about prominent cities, development issues, government programs, etc. 

UNIT 2: SOCIAL SCIENCES
The idea of nationalism, nationalism in India, pre-modern world, 19
th-century global economy, colonialism and colonial cities, industrialization, resources and development, types of resources, agriculture, water, mineral resources, industries, national economy; Human Settlements. Power-sharing, federalism, political parties, democracy, the constitution of India. Economic development: economic sectors, globalization, the concept of development, poverty; population structure, social exclusion and inequality, urbanization, rural development, and colonial cities. UNIT 3: THINKING SKILLS
Comprehension (unseen passage); map reading skills, scale, distance, direction, area, etc.; critical reasoning; understanding of charts, graphs, and tables; basic concepts of statistics and quantitative reasoning.

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Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Utenim ad minim veniam, quis nostrud exercitation ullamco Lorem ipsum dolor sit amet, consecte...
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Author name | 10 jan, 2025
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Classic Literature Reimagined: Discuss modern twists on classic novels.
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Author Name | 10 Jan, 2025
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Classic Literature Reimagined: Discuss modern twists on classic novels.
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Classic Literature Reimagined: Discuss modern twists on classic novels.
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Author Name | 10 Jan, 2025
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Classic Literature Reimagined: Discuss modern twists on classic novels.
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Author Name | 10 Jan, 2025
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Classic Literature Reimagined: Discuss modern twists on classic novels.
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