# NTA JEE Mains Syllabus 2021 PDF – Download Exam Pattern Here!!!

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NTA JEE Mains Syllabus 2021 PDF – Download Exam Pattern Here!!!! The JEE (Mains) Syllabus has been published by the National Testing Agency. Aspirants who are looking for the Syllabus may now access it from this page, and the NTA JEE Mains Exam Date 2021 will be announced soon. On our examsdaily.in website, we have detailed information on JEE Main Syllabus and Exam Pattern. Stay Connected with us for further updates

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## NTA JEE Mains Syllabus 2021:

 Name of the Board National Testing Agency Exam Name JEE(Mains) Exam Date Announce Soon Status Syllabus Available

### JEE Mains Selection Process 2021:

The Selection process and criteria for JEE Mains NTA Recruitment is Written Examination.

### JEE Mains Exam Pattern 2021:

Hence, by keeping this as a reference, the candidate must prepare well for the coming examinations.

### For Paper I (B.E/B.Tech)

 Subject No. of Questions Max. Marks Physics 30 120 Mathematics 30 120 Chemistry 30 120 Total 90 questions 30 marks

### For Paper II (B.Arch/B.Plan)

 Subject No. of Questions Max. Marks Aptitude Test 50 200 Mathematics 30 120 Drawing Test 2 70 Total 82 questions 390 marks

## JEE Main Syllabus:

JEE Main 2020 Paper 1 (B.E/B.Tech)

#### 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; 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 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 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.

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. 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, monotonic Increasing and decreasing functions, Maxima and minima of functions of one
variable, tangents and normal.

UNIT 9: INTEGRAL CALCULAS: Integral as an anti-derivative, 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 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: CO-ORDINATE 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 co-ordinate 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 form a line, equations of internal and external by sectors of angles between two lines coordinate of the centroid, orthocenter and circumcenter of a triangle, equation of the family of lines 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 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 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 three-dimensional 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.

#### Physics:

The syllabus contains two Section- A and B, Section – A pertains to the Theory Part having 80% weightage, while Sections – B contains practical component (Experimental Skills) having 20 % Weightage.

Section- A:

UNIT 1: PHYSICS AND MEASUREMENT Physics, technology and society, S I Units, fundamental and derived units, least count, accuracy and precision of measuring instruments, Errors in measurement, Dimensions of Physics quantities, dimensional analysis and its applications.

UNIT 2: KINEMATICS The frame of reference, motion in a straight line, Position- time graph, speed and velocity; Uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time, position-time graph,
relations for uniformly accelerated motion, Scalars and Vectors, Vector. Addition and subtraction, zero vector, scalar and vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion.

UNIT 3: LAWS OF MOTION Force and inertia, Newton’s First law of motion; Momentum, Newton’s Second

#### Chemistry:

Physical Chemistry – Some basic concepts in chemistry, Chemical thermodynamics, Solutions, Equilibrium, Redox reactions and electrochemistry, Chemical kinetics, Surface chemistry, Organic Chemistry, Purification and characterization of organic compounds, Hydrocarbons, Chemistry in everyday life, Principles related to practical chemistry, Organic compounds containing halogens, Organic compounds containing oxygen, Organic compounds containing nitrogen, Polymers, Some basic principles of organic chemistry, Biomolecules, Inorganic Chemistry, Classification of elements and periodicity in properties, Classification of elements and periodicity in properties, Hydrogen, Block elements (alkali and alkaline earth metals), P Block elements group 13 to group 18 elements, d- and f – block elements, Co-ordination compounds, Environmental chemistry, General principles and processes of isolation of metals (So on)..

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