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
• 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
• 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
• 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
• 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
• 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
• Alpha. beta and gamma particles/rays and their properties
• 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

### 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

### 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 News Reporter
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