JEE Main 2026 Syllabus Updated for Physics, Chemistry and Mathematics

JEE Main Maths Syllabus  

JEE Main Physics Syllabus

JEE Main Chemistry Syllabus

Sets, Relations, and Functions

Physics and Measurement

Some Basic Concepts in Chemistry

Complex Numbers and Quadratic Equations

Kinematics

Atomic Structure

Matrices and Determinants

Laws of Motion

Chemical Bonding and Molecular Structure

Permutation and Combination

Work, Energy and Power

Chemical Thermodynamics

Binomial Theorem and Its Applications

Rotational Motion

Solutions

Sequence and Series

Gravitation

Equilibrium

Limit, Continuity, and Differentiability

Properties of Solids and Liquids

Redox Reactions and Electrochemistry

Integral Calculus

Thermodynamics

Chemical Kinetics

Differential Equations

Kinetic Theory of Gases

Classification of Elements and Periodicity

Coordinate Geometry

Oscillation and Waves

p-block elements

Three-Dimensional Geometry

Electrostatics

d- and f-block elements

Vector Algebra

Current Electricity

Coordination Compounds

Statistics and Probability

Magnetic Effect of Current and Magnetism

Purification and Characterisation of Organic Compounds

Trigonometry

Electromagnetic Induction and Alternating Current

Some Basic Principles of Organic Chemistry

Electromagnetic Waves

Hydrocarbons

Optics

Organic Compounds containing Halogen

Dual Nature of Matter and Radiation

Organic Compounds containing Oxygen

Atoms and Nuclei

Organic Compounds containing Nitrogen

Electronic Devices

Biomolecules

Experiment Skills

Principles Related to Practical Chemistry

S.No

Subject-Wise JEE Mains 2026 Syllabus PDF

1

JEE Main Physics Syllabus PDF 2026

2

JEE Main Chemistry Syllabus PDF 2026

3

JEE Main Maths Syllabus PDF 2026

Chapters

Topics

Units and Measurement

Units of measurements, System of Units, SI Units, fundamental and derived units, least count, significant figures, Errors in measurements, Dimensions of Physics quantities, dimensional analysis, and its applications.

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. Relative Velocity, Motion in A Plane, Projectile Motion, Uniform Circular Motion.

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- vehicle on a level circular road, vehicle on a banked road.

Work, Energy, And Power

Work done by a constant force and a variable force; kinetic and potential energies, work-energy theorem. The potential energy of spring, conservation of mechanical energy, conservative and non-conservative forces; motion in a vertical circle, Elastic and inelastic collisions in one and two dimensions.

Rotational Motion

Centre of the mass of a two-particle system, Centre of the mass of a rigid body; Basic concepts of rotational motion; Moment of a force; angular momentum, conservation of angular momentum and its applications; The moment of inertia, angular momentum, values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems, and their applications. Equilibrium of rigid bodies, rigid body rotation and rotational motion, comparison of linear and rotational motions.

Gravitation

The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler’s law of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity, Motion of a satellite, orbital velocity, period, and energy of a satellite.

Properties of Liquids and Solids

Elastic behaviour, Stress-strain relationship, Hooke's Law. Young's modulus, bulk modulus, and modulus of rigidity. Pressure due to a fluid column; Pascal's law and its applications. Effect of gravity on fluid pressure. Viscosity. Stokes' law; terminal velocity, streamline, and turbulent flow. Bernoulli's principle and its applications. Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension - drops, bubbles, and capillary rise. Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. Heat transfer conduction, convection, and radiation.

Thermodynamics

Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature. Heat, work, and internal energy. The first law of thermodynamics, isothermal and adiabatic processes. The second law of thermodynamics- reversible and irreversible processes.

Kinetic Theory Of Gases

Equation of state of a perfect gas, work done on compressing a gas, Kinetic theory of gases - assumptions, the concept of pressure. Kinetic interpretation of temperature- RMS speed of gas molecules; Degrees of freedom. Law of equipartition of energy and applications to specific heat capacities of gases; Mean free path. Avogadro's number.

Oscillations & Waves

Oscillations and periodic motion – period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) 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 period- Wave motion. Longitudinal and transverse waves, speed of the travelling wave. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves. Standing waves in strings and organ pipes, fundamental mode, and harmonics. Beats.

Electrostatics

Electric Charges And Fields- Conservation of charge. Coulomb’s law forces between two point charges, Electric field due to a point charge, Electric field lines. Electric dipole, Electric field due to a dipole. Torque on an electric dipole in a uniform electric field. Gauss's law and its applications to find the field due to an infinitely long uniformly charged straight wire, a uniformly charged infinite plane sheet, and uniformly charged thin spherical shell. Electric potential, Electric Potential and Capacitance, energy of a system of two point charges and electric dipole in an electrostatic field. Conductors and insulators. Dielectrics and electric polarisation, capacitors and capacitances, the combination of capacitors in series and parallel, and capacitance of a parallel plate capacitor with and without dielectric medium between the plates. Energy stored in a capacitor.

Current Electricity

Electric current. Drift velocity, mobility, and their relation with electric current. Ohm's law. Electrical resistance. V-I characteristics of Ohmic and non-ohmic conductors. Electrical energy and power. Electrical resistivity and conductivity. Series and parallel combinations of resistors; Temperature dependence of resistance. Internal resistance, potential difference, and emf of a cell, a combination of cells in series and parallel. Kirchhoff's laws and their applications. Wheatstone bridge. Metre Bridge.

Magnetic Effects of Current & Magnetism

Biot-Savart law and its application to the current carrying circular loop. Ampere’s law and its applications to infinitely long current carrying straight wire and solenoid. Moving Charges And Magnetism- Force on a moving charge in uniform magnetic and electric fields. Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel currents carrying conductors, the definition of the ampere. Torque experienced by a current loop in a uniform magnetic field, Moving coil galvanometer, its 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; Magnetic field due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole in a uniform magnetic field. Para-, dia- and ferromagnetic substances with examples, the effect of temperature on magnetic properties.

Electromagnetic Induction and Alternating Current

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, power in AC circuits, wattless current. AC generator and transformer.

Electromagnetic Waves

Displacement current. Electromagnetic waves and their characteristics, Transverse nature of electromagnetic waves, Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, Gamma rays), Applications of e.m. waves.

Optics

Reflection of light, spherical mirrors, mirror formula. Refraction of light at plane and spherical surfaces, thin lens formula, and lens maker formula. Total internal reflection and its applications. Magnification. Power of a Lens. Combination of thin lenses in contact. Refraction of light through a prism. Microscope and Astronomical Telescope (reflecting and refracting ) 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. Polarisation, plane-polarised light, Brewster’s law, uses of plane-polarised light and Polaroid.

Dual Nature Of Matter and Radiation

Dual nature of radiation. Photoelectric effect. Hertz and Lenard's observations, Einstein's photoelectric equation, the particle nature of light. Matter waves, wave nature of particles, de Broglie relation.

Atoms and Nuclei

Alpha-particle scattering experiment; Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission, and fusion.

Semiconductor Electronic Materials Device

Semiconductors; semiconductor diode- I-V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED. The photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Logic gates (OR., AND., NOT, NAND and NOR).

Experimental Skills

Familiarity with the basic approach and observations of the experiments and activities-

• Vernier calipers are used to measure the internal and external diameter and depth of a vessel. 

• Screw gauge-its used to determine the thickness/ diameter of thin sheet/wire. 

• Simple Pendulum- dissipation of energy by plotting a graph between the square of amplitude and time. 

• Metre Scale - the mass of a given object by the principle of moments. 

• Young's modulus of elasticity of the material of a metallic wire. 

• Surface tension of water by capillary rise and effect of detergent. 

• The coefficient of Viscosity of a given viscous liquid is measured by measuring the terminal velocity of a given spherical body. 

• Speed of sound in air at room temperature using a resonance tube. 

• Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures. 

• The resistivity of the material of a given wire using a metre bridge.

•  The resistance of a given wire using Ohm's law. Resistance and figure of merit of a galvanometer by half deflection method. 

• The focal length of (i) Convex mirror (ii) Concave mirror, and (iii) Convex lens, using the parallax method. 

• The plot of the angle of deviation vs angle of incidence for a triangular prism. 

• The refractive index of a glass slab using a travelling microscope. 

• Characteristic curves of a p-n junction diode in forward and reverse bias. 

• Characteristic curves of a Zener diode and finding reverse breakdown voltage. 

• Identification of Diode. LED, Resistor. A capacitor from a mixed collection of such items.

Chapters

Topics

Some Basic Concepts In Chemistry

Matter and its nature, Dalton's Atomic Theory- Concept of atom, molecule, element, and compound, Laws of Chemical Combination, Atomic and molecular masses, Mole Concept, molar mass, percentage composition, empirical and molecular formulae- Chemical equations and stoichiometry.

Atomic Structure

Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom. Bohr model of a hydrogen atom - its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr's model; Dual nature of matter, de Broglie's relationship. Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanics, the quantum mechanical model of the atom, and its important features. Concept of atomic orbitals as one-electron wave functions- Variation of and 2 with r for 1s and 2s orbitals; various quantum numbers (principal, angular momentum, and magnetic quantum numbers) and their significance; shapes of s, p, and d - orbitals, electron spin, and spin quantum number- Rules for filling electrons in orbitals — Aufbau principle. Pauli's exclusion principle and Hund's rule, electronic configuration of elements, and extra stability of half-filled and filled orbitals.

Chemical Bonding And Molecular Structure

Kossel-Lewis approach to chemical bond formation, the concept of ionic and covalent bonds. Ionic Bonding- Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy. Covalent Bonding- Concept of electronegativity. Fajan’s rule, dipole moment, Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules. Quantum mechanical approach to covalent bonding, Valence Bond Theory (VBT) - its important features, the concept of hybridisation involving s, p, and d orbitals; Resonance. Molecular Orbital Theory - Its important features. LCAOs, types of molecular orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital electronic configurations of homonuclear diatomic molecules, the concept of bond order, bond length, and bond energy. Elementary idea of metallic bonding. Hydrogen bonding and its applications.

Chemical Thermodynamics

Fundamentals of thermodynamics- System and surroundings, extensive and intensive properties, state functions, Entropy, types of processes. The first law of thermodynamics - Concept of work, heat, internal energy and enthalpy, heat capacity, molar heat capacity; Hess's law of constant heat summation; Enthalpies of bond dissociation, combustion, formation, atomisation, sublimation, phase transition, hydration, ionisation, and solution. The second law of thermodynamics - Spontaneity of processes; S of the universe and G of the system as criteria for spontaneity. G (Standard Gibbs energy change) and equilibrium constant.

Redox Reactions And Electrochemistry

Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, and balancing of redox reactions. Electrolytic and metallic conduction, conductance in electrolytic solutions, molar conductivities and their variation with concentration- Kohlrausch’s law and its applications. Electrochemical cells - Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half-cell and cell reactions, emf of a Galvanic cell and its measurement- Nernst equation and its applications; Relationship between cell potential and Gibbs' energy change- Dry cell and lead accumulator; Fuel cells.

Chemical Kinetics

Rate of a chemical reaction, factors affecting the rate of reactions- concentration, temperature, pressure, and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first-order reactions, their characteristics and half-lives, the effect of temperature on the rate of reactions, Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation).

Solutions

Different methods for expressing the concentration of solution - molality, molarity, mole fraction, percentage (by volume and mass both), the vapour pressure of solutions and Raoult’s Law - Ideal and non-ideal solutions, vapour pressure - composition, plots for ideal and nonideal solutions; Colligative properties of dilute solutions - a relative lowering of vapour pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, Van’t Hoff factor and its significance.

Equilibrium

Equilibria involving physical processes: Solid-liquid, liquid-gas, gas and solid-gas equilibria, Henry's law. General characteristics of equilibrium involving physical processes. Equilibrium involving chemical processes, the Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, factors affecting equilibrium concentration, pressure, temperature, the effect of catalysts, Le Chatelier’s principle. Ionic equilibrium- Weak and strong electrolytes, ionisation of electrolytes, various concepts of acids and bases (Arrhenius, Bronsted - Lowry and Lewis) and their ionisation, acid-base equilibria (including multistage ionisation) and ionisation constants, ionisation of water. pH scale, common ion effect, hydrolysis of salts and pH of their solutions, the solubility of sparingly soluble salts and solubility products, and buffer solutions.

Chapters

Topics

Classification of Elements and Periodicity in Properties

Modern periodic law and present form of the periodic table, s, p, d, and f block elements, periodic trends in properties of elements, atomic and ionic radii, ionisation enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity.

P- Block Elements

Group -13 to Group 18 Elements. General Introduction- Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behaviour of the first element in each group.

D- and F- Block Elements

Transition Elements General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first-row transition elements - physical properties, ionisation enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties, and uses of K2Cr2O7, and KMnO4. Inner Transition Elements Lanthanoids - Electronic configuration, oxidation states, and lanthanoid contraction. Actinoids - Electronic configuration and oxidation states.

Co-ordination Compounds

Introduction to coordination compounds. Werner's theory; ligands, coordination number, denticity, chelation; IUPAC nomenclature of mononuclear co-ordination compounds, isomerism; Bonding-Valence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of co-ordination compounds (in qualitative analysis, extraction of metals, and in biological systems).

Chapters

Topics

Purification And Characterisation Of Organic Compounds

Purification - Crystallisation, sublimation, distillation, differential extraction, and chromatography - principles and their applications. Qualitative analysis - Detection of nitrogen, sulphur, phosphorus, and halogens. Quantitative analysis (basic principles only) - Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, and phosphorus. Calculations of empirical formulae and molecular formulae, Numerical problems in organic quantitative analysis.

Some Basic Principles Of Organic Chemistry

Tetravalency of carbon- Shapes of simple molecules - hybridisation (s and p)- Classification of organic compounds based on functional groups- and those containing halogens, oxygen, nitrogen, and sulphur; Homologous series- Isomerism - structural and stereoisomers. Nomenclature (Trivial and IUPAC) Covalent bond fission - Homolytic and heterolytic, free radicals, carbocations, and carbanions; stability of carbocations and free radicals, electrophiles, and nucleophiles. Electronic displacement in a covalent bond - Inductive effect, electromeric effect, resonance, and hyperconjugation. Common types of organic reactions - Substitution, addition, elimination, and rearrangement.

Hydrocarbons

Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions. Alkanes - Conformations- Sawhorse and Newman projections (of ethane)- Mechanism of halogenation of alkanes. Alkenes - Geometrical isomerism- Mechanism of electrophilic addition- addition of hydrogen, halogens, water, hydrogen halides (Markownikoffs and peroxide effect)- Ozonolysis and polymerisation. Alkynes - Acidic character- Addition of hydrogen, halogens, water, and hydrogen halides- Polymerisation. Aromatic hydrocarbons - Nomenclature, benzene - structure and aromaticity, Mechanism of electrophilic substitution- halogenation, nitration. Friedel-Craft’s alkylation and acylation, directive influence of the functional group in monosubstituted benzene.

Organic Compounds Containing Halogens

General methods of preparation, properties, and reactions; Nature of C-X bond; Mechanisms of substitution reactions. Uses-  Environmental effects of chloroform, iodomethane, freons, and DDT.

Organic Compounds Containing Oxygen

Alcohols- Identification of primary, secondary, and tertiary alcohols- mechanism of dehydration. Phenols- Acidic nature, electrophilic substitution reactions- halogenation, nitration, and sulphonation. Reimer-Tiemann reaction. Ethers- Structure. Aldehyde and Ketones- Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as - Nucleophilic addition reactions (addition of HCN, NH3, and its derivatives), Grignard reagent; oxidation- reduction (Wolf Kishner and Clemensen); the acidity of-hydrogen. Aldol condensation, Cannizzaro reaction. Halform reaction, Chemical tests to distinguish between aldehydes and Ketones. Carboxylic Acids Acidic strength and factors affecting it.

Organic Compounds Containing Nitrogen

General methods of preparation. Properties, reactions, and uses. Amines- Nomenclature, classification structure, basic character, and identification of primary, secondary, and tertiary amines and their basic character. Diazonium Salts- Importance in synthetic organic chemistry.

Biomolecules

General introduction and importance of biomolecules. Carbohydrates - Classification; aldoses and ketoses, monosaccharides (glucose and fructose) and constituent monosaccharides of oligosaccharides (sucrose, lactose, and maltose). Proteins - Elementary Idea of α-amino acids, peptide bond, polypeptides. Proteins- primary, secondary, tertiary, and quaternary structure (qualitative idea only), denaturation of proteins, enzymes. Vitamins – Classification and functions. Nucleic Acids – Chemical constitution of DNA and RNA. Biological functions of nucleic acids. Hormones (General introduction).

Principles Related To Practical Chemistry

Detection of extra elements (Nitrogen, Sulphur, halogens) in organic compounds; Detection of the following functional groups - hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketones), carboxyl, and amino groups in organic compounds. The chemistry involved in the preparation of the following -  Inorganic compounds; Mohr’s salt, potash alum. Organic compounds -  Acetanilide, p-nitro acetanilide, aniline yellow. The chemistry involved in the titrimetric exercises – Acids, bases, and the use of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4. Chemical principles involved in the qualitative salt analysis -  Cations - Pb2+, Cu2+, Al3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+. Anions- CO2–3, S 2-, SO2–4, NO2–, Cl-, -, Br-, I- (Insoluble salts excluded). Chemical principles involved in the following experiments - 1. Enthalpy of solution of CuSO4 2. Enthalpy of neutralisation of strong acid and strong base. 3. Preparation of lyophilic and lyophobic sols. 4. Kinetic study of the reaction of iodide ions with hydrogen peroxide at room temperature.

Chapters

Topics

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 numbers, modulus, and argument (or amplitude) of a complex number, 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.

Matrices and Determinants

Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and Test of consistency and solution of simultaneous linear equations in two or three variables using matrices.

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.

Permutations And Combinations

The fundamental principle of counting, permutation as an arrangement and combination as a section, Meaning of P (n,r) and C (n,r), simple applications.

Binomial Theorem

Binomial theorem for a positive integral index, general term and middle term, and simple applications.

Sequence And Series

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M.

Limits And Derivatives and Continuity And Differentiability

Real-valued functions, algebra of functions, polynomials, rational, trigonometric, 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, Applications of derivatives- Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable.

Integrals

Integral as an anti-derivative, Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution, by parts, and by partial functions. Integration using trigonometric identities. 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, their order, and degree, the solution of differential equations by the method of separation of variables,the  solution of a homogeneous and linear differential equation of the type.

Three-Dimensional Geometry

Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, and the angle between two intersecting lines. Skew lines, the shortest distance between them, and their equation. Equations of a line.

Trigonometric Functions

Inverse Trigonometric Functions

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.

Vector Algebra

Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products.

Co-ordinate Geometry

Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate 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 from a line, co-ordinate of the centroid, orthocenter, and circumcenter of a triangle. Circle, conic sectio- 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 sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms.

Mathematics

Aptitude Test

Drawing Test

Planning (B.Plan)

Complex Numbers and Quadratic Equations

• Awareness of Persons, Buildings and Material

• Three-Dimensional Perception

Sketching of Scenes and Activities from the memory of the urban landscape

• General Awareness

• Social Sciences

• Thinking Skills

Matrices

Determinants

Sets

Relations and Functions

Trigonometric Functions

Inverse Trigonometric Functions

Limits and Derivatives

Continuity and Differentiability

Application of Derivatives

Integrals

Permutations and Combinations

Binomial Theorem

Sequence and Series

Differential Equations

Three-Dimensional Geometry

Vector Algebra

Statistics and Probability

Chapter Name

Questions 

(April 2025)

Questions 

(Jan 2025)

Ray Optics and Optical Instruments

19

23

Units and Measurements

13

20

Rotational Motion

13

14

Electric Charges and Fields

13

14

Fluid Mechanics

10

16

Moving Charges and Magnetism

12

12

Thermodynamics

9

13

Electrostatic Potential and Capacitance

12

9

Wave Optics

9

10

Dual Nature of Radiation and Matter

7

12

Semiconductor Electronics

9

10

Current Electricity

8

9

Work, Power and Energy

4

11

Gravitation

6

8

Electromagnetic Waves

5

9

Thermal Properties of Matter

5

8

Waves

10

3

Alternating Current

6

7

Kinetic Theory of Gases

7

5

Atoms

7

5

Newton’s Laws of Motion

8

3

Motion in a Plane

6

4

Motion in a Straight Line

5

4

Simple Harmonic Motion

4

5

System of Particles and Centre of Mass

3

5

Nuclei

5

3

Mechanical Properties of Solids

6

1

Electromagnetic Induction

1

6

Magnetism and Matter

3

0

Vector and Calculus

0

1

Chapter Name

Questions

(Jan 2025)

Questions 

(Apr 2025)

Organic Chemistry – Some Basic Principles & Techniques

20

20

Coordination Compounds

18

22

Aldehydes, Ketones and Carboxylic Acids

15

18

Thermodynamics

15

15

Equilibrium

17

10

Solutions

11

16

Chemical Kinetics

12

13

The d and f-Block Elements

15

9

Electrochemistry

14

9

Some Basic Concepts of Chemistry

11

11

Biomolecules

11

11

Haloalkanes and Haloarenes

14

7

Classification of Elements & Periodicity

14

6

Structure of Atom

10

9

Hydrocarbons

13

6

Amines

10

9

Alcohols, Phenols and Ethers

8

7

Chemical Bonding and Molecular Structure

8

6

Principles Related to Practical Chemistry

5

8

The p-Block Elements (Group 15 to 18)

4

6

The p-Block Elements

2

7

Redox Reactions

3

0

Chapter Name

Questions 

(Jan 2025)

Questions 

(Apr 2025)

Three-Dimensional Geometry

18

17

Matrices and Determinants

18

15

Differential Equations

15

9

Vector Algebra

12

10

Definite Integration

11

9

Sequence and Series

13

13

Straight Lines

11

9

Binomial Theorem

11

13

Set Theory and Relations

11

9

Application of Derivatives

4

9

Functions

10

11

Probability

12

9

Limits of Functions

10

9

Permutations and Combinations

12

9

Circle

5

4

Differentiability & Method of Diff.

2

2

Quadratic Equations

8

8

Complex Numbers

8

8

Statistics

4

5

Hyperbola

5

7

Continuity

2

2

Trigonometric Equations

2

5

Parabola

10

6

Indefinite Integration

5

3

Inverse Trigonometric Functions

7

4

Ellipse

7

9

Trigonometric Ratios & Identities

3

2

Solutions of Triangles

0

0

Basic Mathematics & Logarithms

1

0

S.No

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