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  • Q1
    Is this book strictly based on the NCERT syllabus for JEE Main?
    A1

    Yes, the book follows the latest NCERT syllabus and aligns with the JEE Main exam pattern.

  • Q2
    Does it include previous years’ JEE Main questions?
    A2

    Yes, it contains previous years’ MCQs along with additional practice questions.

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

    Yes, it covers all essential topics from both classes as per the JEE Main syllabus.

  • Q4
    Does it cover all topics of JEE Main Mathematics?
    A4

    Yes, it includes all units such as Algebra, Calculus, Trigonometry, Coordinate Geometry, Probability, etc.

  • Q5
    Is this book useful for other competitive exams besides JEE Main?
    A5

    While it is designed for JEE Main, it can also help in BITSAT, WBJEE, and other state-level engineering exams.

  • Q6
    Is the language easy to understand?
    A6

    Yes, the content is student-friendly with clear explanations.

  • Q7
    Does it include advanced-level questions for JEE Advanced?
    A7

    This book is primarily for JEE Main, but it strengthens fundamentals useful for JEE Advanced.

  • Q8
    Is this book updated with the latest JEE Main syllabus?
    A8

    Yes, it follows the most recent syllabus and exam pattern.

  • Q9
    Can weak students benefit from this book?
    A9

    Absolutely! The structured approach and detailed solutions help build a strong foundation.

  • Q10
    Are there any shortcuts or tricks provided for problem-solving?
    A10

    Yes, the book includes key concepts and problem-solving techniques to enhance speed.

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CLASS - XI
1. Sets
2. Relations and Functions -1
3. Trigonometric Functions
4. Complex Numbers and Quadratic Equations
5. Linear Inequalities
6. Permutations and Combinations
7. Binomial Theorem
8. Sequences and Series
9. Straight Lines
10. Conic Sections
11. Introduction to Three Dimensional Geometry
12. Limits and Derivatives
13. Statistics
14. Probability -1

CLASS - XII
1. Relations and Functions -2
2. Inverse Trigonometric Functions
3. Matrices
4. Determinants
5. Continuity and Differentiability
6. Application of Derivatives
7. Integrals
8. Application of Integrals
9. Differential Equations
10. Vector Algebra
11. Three Dimensional Geometry
12. Linear Programming
13. Probability -2
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, types of relations, equivalence relations, functions; one-to-one, into, and onto functions; and 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 a + 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, and 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, and 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, the 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-dimensional and three-dimensional spaces, and 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, and 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, and 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; and basic concepts of statistics and quantitative reasoning.

Disha NCERT Xtract Objective Mathematics for JEE Main by Disha Publication is a comprehensive and meticulously designed book tailored for JEE Main aspirants. This book is an essential resource for students aiming to strengthen their grasp on NCERT-based objective mathematics while preparing for competitive exams. It strictly adheres to the latest JEE Main syllabus, ensuring complete coverage of all key topics from Class 11 and Class 12 NCERT textbooks.

The book is structured into two parts—Class XI and Class XII—covering all fundamental and advanced concepts required for JEE Main. Each chapter is enriched with high-quality MCQs, including previous years’ JEE Main questions, NCERT-based questions, and additional practice questions to enhance problem-solving skills. The objective-based approach ensures students develop speed and accuracy, which are crucial for competitive exams.

Key Features of Disha NCERT Xtract Objective Mathematics for JEE Main:

1. Strictly Based on NCERT Syllabus—Ensures alignment with JEE Main exam patterns.
2. Chapter-wise MCQs—Covers all important concepts from sets, relations, trigonometry, calculus, coordinate geometry, probability, and more.
3. Previous Years’ JEE Main Questions—Helps students understand the exam trend and difficulty level.
4. Detailed Solutions—Every question is accompanied by a step-by-step solution for better clarity.
5. Error-Free & Authentic Content—Compiled by subject experts to provide accurate and reliable study material.
6. Designed for Quick Revision—Helps students revise key formulas, concepts, and shortcuts efficiently.
7. Enhances Speed & Accuracy—A vast collection of practice questions to improve problem-solving skills.

Why Choose This Book?

1. Perfect for NCERT-based JEE Main Preparation— Bridges the gap between school curriculum and competitive exams.
2. Ideal for Last-Minute Revision—Concise theory and ample MCQs help in quick recapitulation.
3. Boosts Confidence—Extensive practice ensures students are well-prepared for the exam.

Disha NCERT Xtract Objective Mathematics for JEE Main is a must-have for students who want to excel in JEE Main with a strong NCERT foundation. Whether you are starting your preparation or in the final revision phase, this book will serve as an ultimate guide to mastering objective-type mathematics for JEE Main.

CLASS - XI
1. Sets
2. Relations and Functions -1
3. Trigonometric Functions
4. Complex Numbers and Quadratic Equations
5. Linear Inequalities
6. Permutations and Combinations
7. Binomial Theorem
8. Sequences and Series
9. Straight Lines
10. Conic Sections
11. Introduction to Three Dimensional Geometry
12. Limits and Derivatives
13. Statistics
14. Probability -1

CLASS - XII
1. Relations and Functions -2
2. Inverse Trigonometric Functions
3. Matrices
4. Determinants
5. Continuity and Differentiability
6. Application of Derivatives
7. Integrals
8. Application of Integrals
9. Differential Equations
10. Vector Algebra
11. Three Dimensional Geometry
12. Linear Programming
13. Probability -2

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Is this book strictly based on the NCERT syllabus for JEE Main?
    A1

    Yes, the book follows the latest NCERT syllabus and aligns with the JEE Main exam pattern.

  • Q2
    Does it include previous years’ JEE Main questions?
    A2

    Yes, it contains previous years’ MCQs along with additional practice questions.

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

    Yes, it covers all essential topics from both classes as per the JEE Main syllabus.

  • Q4
    Does it cover all topics of JEE Main Mathematics?
    A4

    Yes, it includes all units such as Algebra, Calculus, Trigonometry, Coordinate Geometry, Probability, etc.

  • Q5
    Is this book useful for other competitive exams besides JEE Main?
    A5

    While it is designed for JEE Main, it can also help in BITSAT, WBJEE, and other state-level engineering exams.

  • Q6
    Is the language easy to understand?
    A6

    Yes, the content is student-friendly with clear explanations.

  • Q7
    Does it include advanced-level questions for JEE Advanced?
    A7

    This book is primarily for JEE Main, but it strengthens fundamentals useful for JEE Advanced.

  • Q8
    Is this book updated with the latest JEE Main syllabus?
    A8

    Yes, it follows the most recent syllabus and exam pattern.

  • Q9
    Can weak students benefit from this book?
    A9

    Absolutely! The structured approach and detailed solutions help build a strong foundation.

  • Q10
    Are there any shortcuts or tricks provided for problem-solving?
    A10

    Yes, the book includes key concepts and problem-solving techniques to enhance speed.

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, types of relations, equivalence relations, functions; one-to-one, into, and onto functions; and 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 a + 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, and 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, and 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, the 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-dimensional and three-dimensional spaces, and 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, and 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, and 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; and basic concepts of statistics and quantitative reasoning.

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Classic Literature Reimagined: Discuss modern twists on classic novels.
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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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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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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