Organisation : Ministry of Education
Exam Name : JEE (Main) 2021 Joint Entrance Examination
Paper : Syllabus For Paper-1
Course : (B.E./B.Tech.)
Subject : Mathematics, Physics and Chemistry
Website : https://jeemain.nta.nic.in/
NTA JEE Main Syllabus
JEE (Main)-2021 Syllabus for Paper-1 (B.E./B.Tech.)- Mathematics, Physics and Chemistry
NTA JEE Main Maths Syllabus
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 co- efficient, 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
Note:
Kindly refer the syllabus PDF attached below for full syllabus.
NTA JEE Main Physics Syllabus
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 Law of motion, Impulses; Newton’s Third Law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion: centripetal force and its applications.
Unit 4: Work, Energy And Power
Work done by a content force and a variable force; kinetic and potential energies, work-energy theorem, power. The potential energy of spring conservation of mechanical energy, conservative and neoconservative forces; Elastic and inelastic collisions in one and two dimensions.
Unit5: Rotational Motion
Centre of the mass of a two-particle system, Centre of the mass of a rigid body; Basic concepts of rotational motion; a moment of a force; torque, angular momentum, conservation of angular momentum and its applications; the moment of inertia, the radius of gyration. Values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems and their applications. Rigid body rotation equations of rotational motion.
Download Syllabus
Download NTA JEE Main Syllabus Here : http://www.syllabus.gen.in/uploads/pdf2021/2304-Syllabus.pdf