National Testing Agency has officially released all the information regarding JEE MAIN 2021 on its official website https://nta.ac.in/. All the information of the JEE MAIN application form, examination details, etc. are covered in this article: https://www.naukripakad.com/jee-mains-2021-latest-updates/ .

However, their have been a few changes in the syllabus of JEE MAIN 2021 which have been covered in this article below in the simplest possible way.

### SYLLABUS OF MATHEMATICS

- 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- One, Into, and Onto functions
- Composition of functions

- Complex numbers and Quadratic equations
- Complex numbers as ordered pairs or reals
- Representation of complex numbers in the form of a+ib and their representation in a plane
- Argand diagram
- Algebra of a complex number
- Modulus and argument of a complex number
- The square root of a complex number
- Triangle inequality
- Quadratic equation in real and complex number system and their solutions
- The relation between roots and coefficients
- Nature of roots
- Formation of quadratic equations with given roots

- Matrices and Determinants
- Matrices
- Types of matrices
- Algebra of matrices
- Determinants and matrices of order two and three
- Evaluation of Determinants
- Properties 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

- Permutation and Combinations\
- The fundamental principle of counting
- Permutation as an arrangement and combination as selection
- Meaning of P (n, r) and C (n, r) and its simple application

- Mathematical Induction
- Principle of mathematical induction and its simple application

- Binomial Theorem and its simple application
- Binomial theorem for a positive integral index
- General term and middle term
- Properties of binomial coefficients and simple applications

- Sequence and Series
- AP and GP
- 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
- Arithometico- Geometric progression

- Limit, Continuity, and Differentiability
- Valued functions
- Real functions
- Algebra of functions
- Rational functions
- Polynomial functions
- Trigonometric functions
- 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
- 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 normals

- Integrals Calculus
- Integral as an anti-derivative
- Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions
- Integration by substitution, by parts, and by partial fractions
- Integration using trigonometric identities
- Integral as limit or 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

- Differential equations
- Ordinary differential equations and their order and degree
- Formation of differential equations
- The solution of differential equations by the method of separations of variables
- The solution of differential equations by the method of separations of variables, solution of homogeneous and linear differential equations of the type: dy/dx+p(x)y=q(x)

- Coordinate geometry
- Cartesian system of rectangular co-ordinates 10 in a plane
- Section formula
- Distance formula
- Locus and its equation
- Translation of axes
- Slope of lines
- Intercepts of a line on the coordinate axes
- Parallel and perpendicular lines
- Various forms of equations of a straight line
- Intersection of lines
- Angles between two lines
- Conditions for the concurrence of three lines
- The distance of a point from a line
- Equations of internal and external bisectors of angles between two lines
- Coordinates of centroid
- Orthocentre and circumcentre of a triangle
- Equation of family of lines passing through the point of intersection of two lines
- The standard form of the equation of a circle
- The general form of the equation of a circle, its radius, and center
- 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 condition for a line to be tangent to a circle
- Equation of the tangent
- Sections of cones
- Equation of conic sections in standard forms
- Condition for y = mx + c to be a tangent and point (s) of tangency

- Three- dimensional geometry
- Coordinates of a point in space
- Distance between two points
- Section formula
- Direction ratios and direction cosines
- The angle between two intersecting lines
- Skew lines and the shortest distance between them and their equation
- Equations of a line and a plane in different forms
- The intersection of a line and a plane
- Coplanar lines

- Vector Algebra
- Vectors and Scalars
- Addition of vectors
- Components of a vector in two-dimension and three-dimension space
- Scalar and vector products
- Scalar vector triple product

- Statistics and Probability
- Measures of dispersion
- Calculation of mean and median
- Mode of grouped and ungrouped data calculation of the standard deviation
- Variance and mean deviation for grouped and ungrouped data
- Probability of an event
- Addition and multiplication theorems of probability
- Baye’s theorem
- The probability distribution of a random variate
- Bernoulli trials and binomial distribution

- Trigonometry
- Trigonometric identities and equations, trigonometrical functions
- Inverse trigonometrical functions and their properties
- Heights and Distances

- Mathematical reasoning
- Statements
- Logical operations and, or, implies, implied by, if and only if
- Understanding of tautology
- Contradiction
- Converse and contrapositive

### SYLLABUS OF PHYSICS

- Physics and measurements
- Physics
- Technology and society
- SI units
- Fundamental and derived units
- Least count
- Accuracy and precision of measuring instruments
- Errors in measurements
- Dimensions of physical quantities
- Dimensional analysis and its applications

- Kinematics
- 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 graph
- Relations for uniformly accelerated motion
- Scalars and Vectors
- Addition and subtraction of vectors
- Zero vectors
- Scalar and Vector products
- Unit Vector
- Resolution of vector
- Relative vectors
- Motion in a plane
- Projectile motion
- Unifor circular motion

- Laws of motion
- Force and inertia
- Newton’s first law of motion
- Momentum
- Newton’s second law of motion
- Impulse
- 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
- Work, Energy, and Power
- Carnot engine and its efficiency

- Kinetic theory of gases
- Equation of state of a perfect gas, work done on compressing a gas
- Kinetic theory of gases – assumptions
- Concept of pressure
- Kinetic energy and temperature
- RMS speed of gas molecules
- Degrees of freedom
- Law of equipartition of energy
- Applications to specific heat capacities of gases
- Avogadro’s number
- Mean free path

- Oscillation and waves
- Periodic motion-period
- Frequency
- Displacement as a function of time
- Periodic functions
- Simple harmonic motion and its equation
- Phase
- Oscillations of a spring
- Restoring force and force constant
- Energy in S.H.M
- Kinetic and potential energies
- Simple pendulum
- Derivation of expression for its time period
- Free, forced, and damped oscillations
- Resonance
- Wave motion, phase, amplitude, and velocity of the wave
- Longitudinal and transverse waves
- Speed of a wave
- Principle of superposition of waves
- Displacement relation for a progressive wave
- Reflection of waves
- Standing waves in strings and organ pipes
- Beats
- Doppler effect in sound

- Electrostatics
- Electric charges
- Conservation of charge
- Coulomb’s law-forces between two point charges
- Forces between multiple charges
- Superposition principle and continuous charge distribution
- Electric field
- Electric field due to a point charge
- Electric field lines
- Electric dipole
- Electric field due to a dipole
- Torque on a dipole in a uniform electric field
- Electric flux
- Gauss’s law and its applications to find field due to infinitely long uniformly charged straight wire
- Uniformly charged infinite plane sheet and uniformly charged thin spherical shell
- Electric potential and its calculation for a point charge
- Electric dipole and system or charges
- Equipotential surfaces
- The electrical potential energy of a system of two point charges in an electrostatic field
- Conductors and insulators
- Dielectrics and electric polarization
- Capacitor
- Combination of capacitors in series and in parallel
- Capacitance or a parallel plate capacitor with and without dielectric medium between the plates
- Energy stored in a capacitator

- Current electricity
- Electric current
- Drift velocity
- Ohm’s law
- Electrical resistance
- Resistances of different materials
- V-I characteristics of ohmic and nonohmic conductors
- Electrical energy and power
- Electrical resistivity
- Colour code for resistors
- Series and parallel combinations of resistors
- Temperature dependence of resistance
- Electric cell and its Internal resistance
- Potential difference and EMF of a cell
- Combination of cells in series and in parallel
- Kirchhoff’s laws and their applications
- Wheatstone bridge
- Metre bridge
- Potentiometer and its principle and its applications

- Magnetic effect of current and magnetism
- Biot – Savart law and its application to current carrying circular loop
- Ampere’s law and its applications to infinitely long current carrying straight wire and solenoid
- Force on a moving charge in uniform magnetic and electric fields
- CyclotronCyclotron
- Force on a current-carrying conductor in a uniform magnetic field
- The force between two parallel current-carrying conductors
- Definition of ampere
- Torque experienced by a current loop in a uniform magnetic field
- Moving coil galvanometer and its current sensitivity and conversion to ammeter and voltmeter
- Current loop as a magnetic dipole and its magnetic dipole moment
- Bar magnet as an equivalent solenoid
- Magnetic field lines
- Earth’s magnetic field and magnetic elements
- Para, dia, and ferromagnetic substance
- Magnetic susceptibility and permeability
- Hysteresis
- Electromagnets and permanent magnets

- Electromagnetic induction and alternating currents
- Electromagnetic induction
- Faraday’s law
- Induced EMF and current
- Lenz’s law
- Eddy currents
- Self and mutual inductance
- Alternating currents
- Peak and RMS value of alternating current/voltage
- Reactance and impedance
- LCR series circuit
- Resonance
- Quality factor
- Power in AC circuits
- Wattless current
- AC generator and transformer

- Optics
- Reflection and refraction of light at plane and spherical surfaces
- Mirror formula
- Total internal reflection and its applications
- Deviation and dispersion of light by a prism
- Lens formula
- Power of a lens
- Magnification
- Combination of thin lenses in contact
- A microscope and astronomical telescope and their magnifying powers
- Wave optics
- Wavefront and Huygens principle
- Laws of reflection and refraction using Huygens principle
- Interference
- Young’s double-slit experiment and expression for fringe width
- Coherent sources and sustained interference of light
- Diffraction due to a single slit
- Width of central maximum
- Resolving power of microscopes and astronomical telescopes
- Polarisation
- Plane polarized light
- Brewster’s law
- Uses of plane-polarized light and polaroids

- Dual nature of matter and radiation
- Dual nature of radiation
- Photoelectric effect
- Hertz and Lenard’s observations
- Einstein’s photoelectric equation
- Particle nature of light
- Matter waves-wave nature of particle and Broglie relation
- Davisson-Germer experiment

- Atoms and Nuclei
- Alpha-particle scattering experiment
- Rutherford’s model of the atom
- Bohr model
- Energy levels
- Hydrogen spectrum
- Composition and size of the nucleus
- Atomic masses
- Isotopes
- Isobars
- Isotones
- Radioactivity
- Alpha. beta and gamma particles/rays and their properties
- Radioactive decay law
- Mass-energy relation, mass defect, the binding energy per nucleon, Its variation with mass number
- Mass defect
- Binding energy per nucleon and its variation with mass number
- Nuclear fission and fusion

- Electronic Devices
- Communication System
- Experimental skills

CHECK THE COMPLETE SYLLABUS HERE: https://engineering.careers360.com/exams/jee-main#:~:text=National%20Testing%20Agency%20(NTA)%20has,form%20is%20January%2016%2C%202021.&text=Latest%20JEE%20Main%202021%20Updates,apply%20till%20January%2016%2C%202021.

### SYLLABUS OF CHEMISTRY

- Some basic concepts of Chemistry
- States of matter
- Atomic Structure
- Chemical bonding and molecular structure
- Chemical thermodynamics
- Solutions
- Equilibrium
- Redox reactions and electrochemistry
- Chemical Kinetics
- Surface Chemistry
- Classification of elements and periodicity in properties
- General principles of isolation of metals
- Hydrogen
- S- block elements (alkali and alkaline metals)
- P- block elements
- D and F- block elements
- Co-Ordination compounds
- Environmental chemistry
- Purification and characterization of organic compounds
- Some basic principles of organic chemistry
- Hydrocarbons
- Organic compounds containing halogens
- Organic compounds containing oxygen
- Organic compounds containing nitrogen
- Polymers
- Biomolecules
- Chemistry in everyday life
- Principles related to practical chemistry

CHECK THE COMPLETE SYLLABUS HERE: https://engineering.careers360.com/exams/jee-main#:~:text=National%20Testing%20Agency%20(NTA)%20has,form%20is%20January%2016%2C%202021.&text=Latest%20JEE%20Main%202021%20Updates,apply%20till%20January%2016%2C%202021.

### JEE MAIN PAPER II

SYLLABUS OF DRAWING

- Awareness of person, place, building, and materials
- Objects
- Texture related to architecture and build-environment
- Visualizing three-dimensional objects from two-dimensional drawings
- Visualizing different sides of three-dimensional objects
- Analytical reasoning mental ability (visual, numerical, and verbal)

- Three-dimensional
- Perception: understanding and appreciation of scale and proportion 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, and development or surfaces and volumes
- Generation of plan
- Elevations and 3D views of objects
- Creating two dimensional and three-dimensional compositions using given shapes and forms
- Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces, etc.)
- Landscape(river fronts,jungles,gardens,trees,plants etc.) and rural life