JEE Main Maths Syllabus 2023
JEE Main 2023 Maths Syllabus
Mathematics is a core subject for JEE Main and JEE Advanced exams. NTA (National Testing Agency) sets the JEE Main syllabus, and the syllabus is now available on the official JEE website – jeemain.nic.in.
Extramarks experts have added a few additional resources to the official JEE Main Mathematics Syllabus 2023 and published it for free for all candidates on our website. Students preparing for the JEE Main exam should refer to the detailed JEE Main Maths Syllabus 2023 to understand chapters and topics coming in the exam to prepare thoroughly and score good marks in the exams. The syllabus mostly remains similar to the past year’s JEE Main Maths syllabus.
JEE Main aspirants should check out our article below on JEE Main Mathematics syllabus and create a robust and effective preparation strategy for cracking the Mathematics section in JEE 2023. We have included sections to understand each chapter, such as essential concepts, topics, course objectives, reference books, important tips, chapterwise question weightages, etc.
Students can refer to other sections on our website to gather more JEE study materials such as JEE Main question papers, JEE Advanced question papers, JEE Main sample papers, JEE Main revision notes and solve the JEE Main mock tests for better exam preparation.
Introduction to JEE Main
JEE (Joint Entrance Examination) is a crucial step that helps engineering aspirants get selected for undergraduate engineering courses. Moreover, it is a qualifying exam for JEE Advanced. It is conducted online and is now held as a computerbased test (CBT). Students from classes 11 and 12 start preparing for the exam. Cracking JEE Main helps get admission into IITs, NITs, CFTIs and GFTIs. Both JEE Main and JEE Advanced exams continue to be based on the CBSE NCERT syllabus.
Extramarks is the right place to get updates about JEE Main 2023. You can get all information related to JEE Main registration, JEE Main application form, JEE Main exam dates, JEE Main syllabus, JEE Main admit card dates, JEE Main cutoff from previous years, JEE Main mock tests, etc.
JEE Main Maths Syllabus
Maths is an essential subject to cover while preparing for JEE Main. The JEE Maths syllabus is tricky, and solving them requires students to focus and use their theoretical and practical knowledge. Students must focus on understanding the basic concepts first and then practice questions thoroughly from the past papers and the mock test papers. An effective study plan for JEE requires that students know the JEE Main Maths syllabus in detail so they do not miss anything that may impact them adversely later.
JEE Main Maths Syllabus 2023 Topicwise
The topics for the JEE Main Maths Syllabus 2023 are as tabulated below
Set, Relations, and Functions  Complex Numbers 
Determinant  Quadratic Equation 
Matrices  Permutation & Combination 
Mathematical Induction  Sequence & Series 
Binomial Theorem  Limits & Continuity 
Differentiation  Statistics 
Differential Equation  Integral Calculus 
Trigonometry  Vector Algebra 
Coordinate Geometry  Mathematical Reasoning Logic 
3Dimensional Geometry  Probability 
JEE Main Mathematics Syllabus 2023 – Chapter and Topics Wise Details
Understanding each and every concept and topic is critical when you are preparing for Mathematics. Many topics are interlinked, and problems in Mathematics tend to be based on 23 different topics. So knowing the JEE Main Mathematics syllabus in and out becomes of utmost importance for JEE aspirants. For Mathematics, make a study plan consisting of theory understanding, lots of practice by solving past years’ JEE Main questions and sample papers, and keep ample time for multiple revisions.
Our Mathematics teachers and experts have designed a detailed chapter and topic wise list for JEE Main Maths syllabus 2023.
1: Sets, Relations, and Functions
 Sets and their representation.
 Union, intersection, and complement of sets and their algebraic properties.
 Powerset.
 Relation, Types of relations, equivalence relations.
 Functions; oneone, into and onto functions, the composition of functions.
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, square root of a complex number.
 Triangle inequality.
 Quadratic equations in real and complex number system and their solutions.
 The relation between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.
3: Matrices and Determinants
 Matrices: Algebra of matrices, types of matrices, and matrices of order two and three.
 Determinants: Properties of determinants, evaluation of determinants, the area of triangles using determinants.
 Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations.
 Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
4: Permutations and Combinations
 The fundamental principle of counting.
 Permutation as an arrangement and combination as a selection.
 The meaning of P (n,r) and C (n,r). Simple applications.
5: Mathematical Induction
 The principle of Mathematical Induction and its simple applications
6: Binomial Theorem
 Binomial theorem for a positive integral index.
 General term and middle term.
 Properties of Binomial coefficients and simple applications.
7: Sequence and Series
 Arithmetic and Geometric progressions, insertion of arithmetic.
 Geometric means between two given numbers.
 The relation between A.M. and G.M.
 Sum up to n terms of special series: Sn, Sn2, Sn3.
 Arithmetic Geometric progression.
8: Limit, Continuity and Differentiability
 Realvalued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions.
 Graphs of simple functions.
 Limits, continuity, and differentiability.
 Differentiation of the sum, difference, quotient of two functions and product.
 Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two.
 Rolle’s and Lagrange’s Mean Value Theorems.
 Applications of derivatives: Rate of change of quantities, monotonic increasing and decreasing functions, minima and maxima of functions of one variable, tangents, and normals.
9: Integral Calculus
 Integral as an antiderivative.
 Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions.
 Integration using substitution, by parts, using partial fractions.
 Integration using trigonometric identities.
 Integral as a limit of sum.
 Simple Integral Evaluation:
 Fundamental Theorem of Calculus.
 Properties of definite integrals, definite integral evaluation, determining the areas of regions bound by simple curves in standard form.
10: Differential Equations
 Ordinary differential equations, their order, and degree.
 Differential equation formation.
 The solution of differential equations using separation of variables.
 The solution of homogeneous and linear differential equations of the type:
11: Coordinate Geometry
 Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus, and its equation, translation of axes, the slope of a line, parallel as well as perpendicular lines, intercepts of a line on the coordinate axes.
 Straight lines: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines.
 Distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.
 Circles, conic sections: Standard form of the equation of a circle, the general form of the equation of a circle, its radius and centre, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent.
 Sections of cones, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.
12: 3D Geometry
 Coordinates of a point in space, the distance between two points.
 Section formula, direction ratios and direction cosines, the angle between two intersecting lines.
 Skew lines, the shortest distance between them and its equation.
 Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.
13: Vector Algebra
 Scalars and Vectors. Addition, subtraction, multiplication, and division of vectors.
 Vector’s Components in 2D and 3D space.
 Scalar products and vector products, triple product.
14: Statistics and Probability
 Measures of Dispersion: Calculation of mean, median, variance, mode, standard deviation, mean deviation of ungrouped as well as grouped data.
 Probability: Probability of events, addition theorems, multiplication theorems, Baye’s theorem, Bernoulli trials, Binomial distribution, and probability distribution.
15: Trigonometry
 Identities of Trigonometry and Trigonometric equations.
 Functions of Trigonometry.
 Properties of Inverse trigonometric functions.
 Problems on Heights and Distances.
16: Mathematical Reasoning
 Logical operations and statements
 Contradiction, tautology, contrapositive, and converse understanding
JEE Main Maths Syllabus Weightage – Topic Wise
We advise students to give equal importance to all chapters and topics while preparing for the JEE Main Maths syllabus. However, insight into which topics are more important based on past question papers is useful.
Extramarks team has analysed 100’s of JEE Main question papers from 2015 to 2021. Based on our findings, we are giving hightolow weightage of the topics that may have higher chances of appearing in the JEE Main 2023 exam. Using this knowledge, students can focus more on chapters from which maximum questions are likely to come.
Chapter / Topic name from JEE Main Maths syllabus  Weightage 
Differential Calculus  17% 
Coordinate Geometry  17% 
Integral Calculus  14% 
Trigonometry  8% 
Matrices and Determinants  8% 
Sequences and Series  8% 
Complex Numbers  4% 
Quadratic Equations  4% 
Probability  4% 
Statistics  4% 
Permutations and Combinations  3% 
Algebra  3% 
Binomial Theorem  3% 
Mathematical Reasoning  3% 
Distribution of JEE Main Mathematics Syllabus 2023 – 11th and 12th Classwise
Another interesting piece of information that should help students, is the distribution of the JEE Maths Syllabus by Class 11 vs Class 12.
Class XI Topics  Class XII Topics 
Logarithms & Related Expressions  Limits, Continuity & Differentiability 
Quadratic Equations & Expressions  Method of differentiation 
Sequence & Progressions  Indefinite Integration 
Compound Angles  Definite Integration 
Trigonometric Function, Equations & Inequations  Application of Derivatives 
Solutions of Triangles  Determinants and Matrices 
Circles  Vectors 
Straight Lines & Pair of Lines  3Dimensional Geometry 
Binomial Theorems  Probability 
Permutations & Combinations  Differential Equations 
Sets, Relations & Functions  Area Under Curve 
Mathematical Inductions & Reasoning  Parabola, Elipse, Hyperbola 
Complex Number  
Statistics 
JEE Main Maths Syllabus – Best Books and Reference Materials
Mathematics is an extensive subject, and candidates should refer to a good set of textbooks for preparing well for their JEE Main Maths syllabus.
The NCERT syllabus covers all important topics which are a part of the JEE Main Mathematics syllabus. NCERT textbooks and NCERT exemplars are considered the best resources for JEE Main Mathematics syllabus preparation.
Apart from NCERT books, below list of books are recommended Extramarks for preparing for the JEE Main Maths:
Section  Book and Author Name 
Algebra  Algebra by Dr S K Goyal from Arihant Publications 
Differential Calculus  Differential Calculus by Amit M Agarwal from Arihant Publications 
Integral Calculus  Integral Calculus by Amit M Agarwal from Arihant Publications 
Coordinate Geometry  The Elements Of Coordinate Geometry written by S L Loney 
Geometry  Geometry by Dr Gorakh Prasad 
Practising Problems  Play with Graphs by Amit M Agarwal from Arihant Publications 
Trigonometry  Plane Trigonometry by S L Loney 
Maths Basics  Objective Mathematics by R D Sharma 
JEE Main Maths Syllabus vs JEE Advanced Maths Syllabus – Topic Wise Comparison
Candidates appearing for JEE Main desire to clear the JEE Main first and then make it to the JEE Advanced level. So the students need to have a clear understanding of the syllabus and variation between Main and Advanced. Most of the topics are common, but few exclusive topics are covered in each exam. Below is a summary of the different topics for easy reference.
Common Topics in Both for JEE Maths Syllabus  Topics in JEE Main
But not in JEE Advanced 
Topics in JEE Advanced
But not in JEE Main 

Sets, Relations, & Functions:
Trigonometry:
Statistics & Probability:
Mathematical Reasoning:

None 
Benefits of Solving JEE Main Mathematics Question Paper:
 Students can develop a fair understanding of JEE Main Maths syllabus by solving multiple JEE Main question papers with solutions.
 Students who solve past years’ papers are more likely to perform well in exams.
 It also helps students to boost their speed and accuracy in the actual exam.
 Analysis of the JEE Main question paper will help to familiarise students with the exam pattern and help them score better marks.
JEE Main Maths Syllabus Preparation Tips:
 Keep the entire JEE Main Mathematics syllabus in mind and the weightage to each topic.
 Be thorough with the NCERT books of classes 11 and 12 and the NCERT Exemplar books.
 Solve questions of higher levels from good books.
 Analyse and solve as many past years’ JEE Main question papers as possible, and always simulate the exact examination time conditions; this will help manage time pressure well.
 Attempt mock tests regularly, possibly one per week.
 Regular revision of the previously studied JEE Main concepts is essential to prevent losing touch with concepts.
 Understand the JEE Main question paper pattern and prepare a preexamination strategy.
 A positive attitude and a healthy lifestyle while preparing for JEE Main will give a healthy outlook towards life and enhance mental stability.
Do’s and Don’ts for JEE Main Exam:
Do’s:
 Read each question very carefully to ensure a clear understanding, as students often misinterpret questions.
 Start the question paper by attempting the more straightforward and medium questions of the JEE Main question paper first, which will help boost the candidate’s morale and help in increasing the JEE Main score.
 If you get a tricky and timeconsuming question, please move to the next question, and translate that, as there is a similar marking for all questions. You can come back to solve the slightly tricky questions once all easy questions are solved.
Don’ts:
 The candidates are advised not to read each question thoroughly and solve it carefully and correctly. Solving questions in haste may result in silly mistakes.
 Anxiety during the exam is a significant factor and brings down students’ scores; hence students must solve past year question papers in a timed manner, precisely as they have to do later.
 Wearing uncomfortable clothes during exams will decrease the productivity of the candidate.
How Can Extramarks Help to Crack JEE Main Mathematics Exam 2023?
Mathematics requires a very high understanding of basic concepts. Candidates must practise, practise and practise!! Candidates must practise so much that all the important formulae get naturally imprinted in their memory. Extramarks JEE Main mock test series helps understand the exam trends, marking scheme and other similar details.
Extramarks keeps track of your performance when you take JEE Main mock tests on our platform. It generates personalised practice sets containing curated questions from the most important chapters and topics to improve your weaker topics.
SYLLABUS for JEE (Main)2022
Syllabus for Paper1 (B.E./B.Tech.) Mathematics, Physics, and Chemistry
MATHEMATICS
UNIT 1: SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; oneone, 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 a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and co efficient, nature of roots, the formation of quadratic equations with given roots.
UNIT3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
UNIT 4: PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting, permutation as an arrangement and
combination as section, Meaning of P (n,r)
and C (n,r), simple applications.
UNIT 5: MATHEMATICAL INDUCTIONS:
Principle of Mathematical Induction and its simple applications.
UNIT 6: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.
UNIT 7: SEQUENCE AND SERIES:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. ArithmeticoGeometric progression.
UNIT 8: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:
Real–valued functions, algebra of
functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. 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, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic Increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
UNIT 9: INTEGRAL CALCULAS:
Integral as an antiderivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithms functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.
Evaluation of simple integrals of the type lines, conditions for concurrence of three lines, the distance of a point form a line, equations of internal and external by sectors of angles between two lines co ordinate of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.
Circle, conic sections
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circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a
circle, equation of the tangent, sections of Integral as limit of a sum. The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
UNIT 10: DIFFRENTIAL EQUATIONS
Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type
UNIT 11: COORDINATE GEOMETRY
Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, translation of axes, 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 conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency.
UNIT 12: THREE DIMENSIONAL GEOMETRY
Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.
UNIT 13: VECTOR ALGEBRA
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product.
UNIT 14: STATISTICS AND PROBABILITY
Measures of discretion; calculation of mean, median, 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, Baye’s theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution.
UNIT 15: TRIGONOMETRY
Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, and their properties, heights, and distance.
UNIT 16: MATHEMATICAL REASONING
Statement logical operations and, or, implies, implied by, if and only if, understanding of tautology, contradiction, converse, and contrapositive.
Syllabus for Paper 2A (B.Arch)
MATHEMATICS
UNIT 1: SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; oneone, 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 a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots.
UNIT 3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
UNIT4:PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications.
UNIT 5: MATHEMATICAL INDUCTIONS:
Principle of Mathematical Induction and its simple applications.
UNIT 6: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.
UNIT 7: SEQUENCE AND SERIES:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. Arithmetico Geometric progression.
UNIT 8: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:
Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. 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, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonicIncreasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
UNIT 9: INTEGRAL CALCULAS:
Integral as an antiderivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithms functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.
Evaluation of simple integrals of the type passing through the point of intersection of two lines.
Circle, conic sections
A standard form of equations of a circle, the general form of the equation of a circle, its
��
��
��
��
radius and central, equation of a circle when
∫ �2+�2 , ∫ √�2 ± �2 , ∫ �2− �2 , ∫ √�2− �2
the endpoints of a diameter are given, points
, ��
��2+��+�
(��+�)��
,∫ ��
√��2+ ��+�
( �� + � ) �� ,
��2+��+�
of intersection of a line and a circle with the centre at the origin and condition for a line to
∫ √��2+ ��+�
∫ √��2 ± � 2 𝑑� ,
be tangent to a circle, equation of the
∫ √� 2 − ��2 𝑑�
Integral as limit of a sum. The fundamental
theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
UNIT 10: DIFFRENTIAL EQUATIONS
Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type
�� + �(�)� = �(�)
��
UNIT11: COORDINATE GEOMETRY
Cartesian system of rectangular coordinates 10 in a plane, distance formula, sections formula, locus, and its equation, translation of axis, slop of a line, parallel and perpendicular lines, intercept of a line on the coordinate axes.
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 form a line, equations of internal and external by sectors of angles between two lines coordinate of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines
tangent, sections of conics, equations of
conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for Y = mx + c to be a tangent and point (s) of tangency.
UNIT12:THREE DIMENSIONAL GEOMETRY
Coordinates of a point in space, the distance between two points, section formula, directions ratios, direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.
UNIT 13: VECTOR ALGEBRA
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product.
UNIT 14: STATISTICS AND PROBABILITY
Measures of discretion; calculation of mean, median, 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, Baye’s theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution.
UNIT 15: TRIGONOMETRY
Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, and their properties, heights, and distance.
UNIT 16: MATHEMATICAL REASONING
Statement logical operations and, or, implies, implied by, if and only if, understanding of tautology, contradiction, converse, and contrapositive.
Part –II APTITUDE
To be conducted in a Drawing sheet.
Note: Candidates are advised to bring pencils. Own geometry box set, crasets and colour pencils, and crayons for the Drawing Test.
UNIT – 1 Awareness of persons. Buildings, Materials. Objects, Texture related to Architecture and BuildenvirounmentVisusalising three dimensional objects from twodimensional drawings. Visualizing. Different sides of threedimensional 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, colour 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 twodimensional and threedimensional compositions using given shapes and forms.
Part – III DRAWING
Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces, etc). landscape (riverfronts. Jungle. Gardens, trees. Plants, etc.) and rural life.
Syllabus for Paper 2B (B.Planning)
MATHEMATICS
UNIT1:SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; oneone, into and onto functions, the composition of functions.
UNIT2: 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 number, modulus and argument (or amplitude) of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots.
UNIT 3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
UNIT4: PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications.
UNIT 5: MATHEMATICAL INDUCTIONS:
Principle of Mathematical Induction and its simple applications.
UNIT 6: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.
UNIT 7: SEQUENCE AND SERIES:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. Arithmetico Geometric progression.
UNIT 8: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:
Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. 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, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonicIncreasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
UNIT 9: INTEGRAL CALCULAS:
Integral as an antiderivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithms functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.
Evaluation of simple integrals of the type A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points
�� ��
�� ��
of intersection of a line and a circle with the
∫ �2+�2 , ∫ √�2 ± �2 , ∫ �2− �2 , ∫ √�2− �2
centre at the origin and condition for a line to
, ��
��2+��+�
(��+�)��
,∫ ��
√��2+ ��+�
( �� + � ) ��
, ,
��2+��+�
be tangent to a circle, equation of the tangent, sections of conics, equations of
∫ √��2+ ��+�
∫ √��2 ± � 2 𝑑� ,
conic sections (parabola, ellipse, and
∫ √� 2 − ��2 𝑑�
Integral as limit of a sum. The fundamental
theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
UNIT 10: DIFFERENTIAL EQUATIONS
Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type
�� + �(�)� = �(�)
��
UNIT 11: COORDINATE GEOMETRY
Cartesian system of rectangular coordinates
10 in a plane, distance formula, sections formula, locus, and its equation, translation of axis, slop of a line, parallel and perpendicular lines, intercept of a line on the coordinate axes.
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 form a line, equations of internal and external by sectors of angles between two lines coordinate of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.
Circle, conic sections
hyperbola) in standard forms, condition for
Y = mx +c to be a tangent and point (s) of tangency.
UNIT12:THREE DIMENSIONAL GEOMETRY
Coordinates of a point in space, the distance between two points, section formula, directions ratios, direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.
UNIT 13: VECTOR ALGEBRA
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product.
UNIT 14: STATISTICS AND PROBABILITY
Measures of discretion; calculation of mean, median, 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, Baye’s theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution.
UNIT 15: TRIGONOMETRY
Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, and their properties, heights, and distance.
UNIT 16: MATHEMATICAL REASONING
Statement logical operations and, or, implies, implied by, if and only if, understanding of tautology, contradiction, converse, and contrapositive.
APTITUDE
UNIT1 Awareness of persons. Buildings, Materials.
Objects, Texture related to Architecture and BuildenvirounmentVisusalising three dimensional objects from twodimensional drawings. Visualizing. Different sides of threedimensional 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, colour 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 Plan, elevations and 3D views of objects, Creating twodimensional and threedimensional compositions using given shapes and forms.
PLANNING
UNIT1 GENERAL AWARENESS
General knowledge questions and knowledge about prominent cities, development issues, government programs, etc.
UNIT2 SOCIAL SCIENCES
The idea of nationalism, nationalism in India, premodern world, 19thcentury global economy, colonialism, and colonial cities, industrialization, resources, and development, types of resources, agriculture, water, mineral resources, industries, national economy; Human Settlements Powersharing, 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, colonial cities,
UNIT3 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.
JEE Main Syllabus
JEE Main Related Links
FAQs (Frequently Asked Questions)
1. Is JEE Main Mathematics challenging?
JEE Main Mathematics is one of the most challenging subjects, and it requires great attention and time for exam preparations. JEE Main Maths requires that students focus on good time management, excellent problemsolving skills, and knowledge concepts. Having all formulae in a single place helps. Ideally, students should begin their JEE Main preparation journey with the Maths syllabus.
2. Will NCERT books be good enough to help prepare for the JEE Mains Maths syllabus?
NCERT books cover the basics of JEE Main Mathematics Syllabus. Hence, candidates must be thorough with the NCERT books to clear concepts. However, they are not enough. One also needs to use mock tests, past years’ questions, and other books highlighted in the above section of this article to build mastery over the Mathematics subject.
3. How much time does one require to prepare for the JEE Main Maths syllabus?
The duration of finishing the JEE Main Maths syllabus depends on the pace and the thoroughness with which the student wants to complete it. Aspirants should have a study timetable that focuses on each topic, based on weightages and start preparing early, ideally during class 11. That will help avoid the lastminute anxiety that most of the students face. The JEE Main Maths syllabus is extensive, and it will take a significant amount of time to cover it all.
4. Is 98 percentile a good score in JEE Main?
Yes, the 98 percentile is a good enough score to help secure a top NIT seat for you.
5. I am having trouble with definite integrals, will excluding that from my study plan be ok? Is it included in the JEE Main 2023 Maths Syllabus?
Yes, Definite Integrals are included in JEE Main 2023 Maths Syllabus, and one must not skip studying the same.
6. Which topic in JEE Main Maths Syllabus has the highest weightage?
As per previous years’ analysis, both coordinate differential calculus and geometry have the highest weightage, with each carrying 17% of the total marks of the paper.