JEE MAIN 2021 SYLLABUS

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

News Reporter
It was my hobby to write which pushed me to be a content writer. It has been for 2 years that I am doing work as a content writer and many blogs. People loving my articles is something that gives me the courage to write more and more! Writing and reading are something that I am passionate about!