Explore the comprehensive JEE Main 2025 Syllabus covering Mathematics, Physics, and Chemistry. Dive into key topics including Sets, Complex Numbers, Differential Equations, and Trigonometry for B.Arch. and B.Planning. Get ready to excel in your preparation with detailed unit breakdowns and essential concepts needed for success in the JEE Main examination.
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JEE Main 2025 Syllabus:- Mathematics
| Unit | Topics Covered |
| Unit 1: Sets, Relations, and Functions | Sets and their representation, union, intersection, complement of sets and algebraic properties, power set, types of relations, equivalence relations, one-one, onto, and into functions, 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+iba + iba+ib and on the Argand plane, modulus and argument of a complex number, algebra of complex numbers, square root, cube root, quadratic equations in real and complex number systems, relations between roots and coefficients, formation of quadratic equations with given roots |
| Unit 3: Matrices and Determinants | Types of matrices, operations on matrices, determinants of order two and three, properties of determinants, evaluation of determinants, application of determinants to find the area of triangles, adjoint and inverse of a matrix, solving simultaneous linear equations using matrices |
| Unit 4: Permutations and Combinations | Fundamental principle of counting, permutation P(n,r)P(n, r)P(n,r), combination C(n,r)C(n, r)C(n,r), applications of permutations and combinations |
| Unit 5: Binomial Theorem | Statement and proof of binomial theorem for a positive integral index, general and middle terms, simple applications of binomial theorem |
| Unit 6: Sequence and Series | Arithmetic progression (A.P.), geometric progression (G.P.), insertion of arithmetic and geometric means between two given numbers, relations between A.M. and G.M., sum of finite series using special formulas |
| Unit 7: Limit, Continuity, and Differentiability | Real-valued functions, algebra of functions, polynomial, rational, trigonometric, logarithmic, and exponential functions, inverse functions, limits, continuity, and differentiability, differentiation rules for the sum, difference, product, and quotient of functions, differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions, second-order derivatives, applications of derivatives (rate of change, monotonic functions, maxima and minima of one-variable functions) |
| Unit 8: Integral Calculus | Integration as the inverse process of differentiation, indefinite integrals of standard functions, integration by substitution, integration by parts, partial fractions, and trigonometric identities, evaluation of definite integrals, properties of definite integrals, application of definite integrals in finding areas of bounded regions |
| Unit 9: Differential Equations | Order and degree of differential equations, formation of differential equations, solutions of differential equations by separation of variables, solutions of homogeneous and linear differential equations of type dydx+P(x)y=Q(x)\frac{dy}{dx} + P(x)y = Q(x)dxdy+P(x)y=Q(x) |
| Unit 10: Coordinate Geometry | Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, slope of a line, parallel and perpendicular lines, intercepts of a line on coordinate axes, various forms of equations of a line, intersection of two lines, angle between two lines, conditions for concurrency of three lines, distance of a point from a line, centroid, orthocenter, and circumcenter of a triangle |
| Unit 11: Conic Sections | Standard equations of a circle, parabola, ellipse, and hyperbola, definitions, equations of conic sections in standard form, properties and loci of points related to conic sections |
| Unit 12: Three-Dimensional Geometry | Coordinates of a point in space, distance between two points, section formula, direction ratios, direction cosines, angle between two intersecting lines, equation of a line, skew lines, shortest distance between lines |
| Unit 13: Vector Algebra | Vectors and scalars, vector addition, multiplication of a vector by a scalar, position vector, components of a vector in 2D and 3D, vector equality, unit vectors, scalar and vector products, applications of vectors to geometry |
| Unit 14: Statistics and Probability | Measures of dispersion (mean, median, mode for grouped and ungrouped data), mean deviation, variance, standard deviation, probability of events, addition and multiplication theorems, Bayes’ theorem, random variables, probability distributions |
| Unit 15: Trigonometry | Trigonometric identities, trigonometric functions and their graphs, trigonometric equations, inverse trigonometric functions, properties and applications of trigonometric ratios |
JEE Main 2025 Syllabus:- Physics
| Unit | Topics |
| 1. Units and Measurements | 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. |
| 2. Kinematics | The frame of reference, motion in a straight line, 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. |
| 3. 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: vehicle on a level circular road, vehicle on a banked road. |
| 4. Work, Energy and Power | Work done by a constant force and a variable force, kinetic and potential energies, work-energy theorem, power. The potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces, motion in a vertical circle. Elastic and inelastic collisions in one and two dimensions. |
| 5. Rotational Motion | Centre of mass of a two-particle system, centre of mass of a rigid body. Basic concepts of rotational motion, 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. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions. |
| 6. 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, time period and energy of satellite. |
| 7. Properties of Solids and Liquids | 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, Stoke’s law, terminal velocity, streamline and turbulent flow, critical velocity, 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. |
| 8. Thermodynamics | Thermal equilibrium and the concept of temperature, zeroth law of thermodynamics, heat, work and internal energy. The first law of thermodynamics, isothermal and adiabatic processes. The second law of thermodynamics: reversible and irreversible processes. |
| 9. 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. |
| 10. Oscillations and Waves | Oscillations and periodic motion: time 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 time 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. |
| 11. 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 of charges, potential difference, equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. Conductors and insulators, dielectrics and electric polarization, capacitors and capacitance, 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. |
| 12. Current Electricity | Electric current: drift velocity, mobility and their relation with electric current, Ohm’s law, electrical resistance, I-V 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. |
| 13. Magnetic Effects of Current and 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. 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-definition of 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. |
| 14. 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, power in AC circuits, wattless current, AC generator and transformer. |
| 15. 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 electromagnetic waves. |
| 16. 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. Polarization: plane-polarized light, Brewster’s law, uses of plane-polarized light and Polaroid. |
| 17. 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, de-Broglie relation. |
| 18. 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. |
| 19. Electronic Devices | Semiconductors, semiconductor diode: I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, photodiode, solar cell, Zener diode, Zener diode as a voltage regulator. Logic gates (OR, AND, NOT, NAND, NOR). |
| 20. Experimental Skills | Familiarity with the basic approach and observations of the experiments and activities:1. Vernier calipers – use to measure internal and external diameter and depth of a vessel.2. Screw gauge – use to determine thickness/diameter of thin sheet/wire.3. Simple pendulum – dissipation of energy by plotting a graph between the square of amplitude and time.4. Metre scale – the mass of a given object by the principle of moments.5. Young’s modulus of elasticity of the material of a metallic |
JEE Main 2025 Syllabus:- CHEMISTRY
| Unit | Topics |
| Unit I: 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. |
| Unit 2: Atomic Structure | Nature of electromagnetic radiation, Photoelectric effect, Spectrum of the hydrogen atom, Bohr model of a hydrogen atom – postulates, Derivation of energy relations and radii of different orbits, Limitations of Bohr’s model, Dual nature of matter, de Broglie’s relationship, Heisenberg uncertainty principle, Elementary ideas of quantum mechanics, Quantum mechanical model of the atom and its features, Concept of atomic orbitals as one-electron wave functions, Variation of ψ and ψ² with r for 1s and 2s orbitals, Various quantum numbers (principal, angular momentum, magnetic) 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 completely filled orbitals. |
| Unit 3: Chemical Bonding and Molecular Structure | Kossel-Lewis approach to chemical bond formation, Ionic and covalent bonds, Formation and factors affecting ionic bonds; Calculation of lattice enthalpy, Electronegativity, Fajan’s rule, Dipole moment, VSEPR theory and shapes of simple molecules, Valence bond theory – important features, Hybridization involving s, p, and d orbitals, Resonance, Molecular Orbital Theory – important features, LCAOs, Types of molecular orbitals (bonding, antibonding), Sigma and pi-bonds, Molecular orbital electronic configurations of homonuclear diatomic molecules, Bond order, bond length, and bond energy, Elementary idea of metallic bonding, Hydrogen bonding and its applications. |
| Unit 4: Chemical Thermodynamics | Fundamentals of thermodynamics: System and surroundings, Extensive and intensive properties, State functions, Entropy, Types of processes, First law of thermodynamics – Work, heat, internal energy and enthalpy, Heat capacity, Molar heat capacity, Hess’s law of constant heat summation, Enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization and solution, Second law of thermodynamics – Spontaneity of processes, ΔS of the universe and ΔG of the system as criteria for spontaneity, ΔG°(Standard Gibbs energy change) and equilibrium constant. |
| Unit 5: Solutions | Different methods for expressing the concentration of solution – Molality, molarity, mole fraction, percentage (by volume and mass), Vapour pressure of solutions and Raoult’s Law – Ideal and non-ideal solutions, Vapour pressure – composition, Plots for ideal and non-ideal solutions, Colligative properties of dilute solutions – Relative lowering of vapour pressure, Depression of freezing point, Elevation of boiling point, Osmotic pressure, Determination of molecular mass using colligative properties, Abnormal value of molar mass, Van’t Hoff factor and its significance. |
| Unit 6: Equilibrium | Meaning of equilibrium and the concept of dynamic equilibrium, Equilibria involving physical processes: Solid-liquid, liquid-gas, gas-gas, and solid-gas equilibria, Henry’s law, General characteristics of equilibrium, Equilibrium involving chemical processes: Law of chemical equilibrium, Equilibrium constants (Kp and Kc) and their significance, The significance of ΔG and ΔG° in chemical equilibrium, Factors affecting equilibrium: concentration, pressure, temperature, effect of catalyst, Le Chatelier’s principle, Ionic equilibrium: Weak and strong electrolytes, Ionization of electrolytes, Various concepts of acids and bases (Arrhenius, Bronsted – Lowry and Lewis) and their ionization, Acid-base equilibria (including multistage ionization) and ionization constants, Ionization of water, pH scale, Common ion effect, Hydrolysis of salts and pH of their solutions, Solubility of sparingly soluble salts, Solubility products and buffer solutions. |
| Unit 7: 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. |
| Unit 8: 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, Effect of temperature on the rate of reactions, Arrhenius theory, Activation energy and its calculation, Collision theory of bimolecular gaseous reactions (no derivation). |
| Inorganic Chemistry | Unit 9: 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, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity. |
| Unit 10: 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. |
| Unit 11: 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, Ionization 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. |
| Unit 12: Coordination Compounds | Introduction to coordination compounds, Werner’s theory, Ligands, Coordination number, Denticity, Chelation, IUPAC nomenclature of mononuclear coordination compounds, Isomerism, Bonding: Valence bond approach and basic ideas of Crystal field theory, Colour and magnetic properties, Importance of coordination compounds (in qualitative analysis, extraction of metals, and in biological systems). |
| Organic Chemistry | Unit 13: Purification and Characterisation of Organic Compounds – Purification: Crystallization, 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. |
| Unit 14: Some Basic Principles of Organic Chemistry | Tetravalency of carbon, Shapes of simple molecules – Hybridization (s and p): Classification of organic compounds based on functional groups and those containing halogens, oxygen, nitrogen, and sulphur, Homologous series: Isomerism – Structural and stereoisomerism, 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. |
| Unit 15: 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, and hydrogen halides (Markownikoffs and peroxide effect), Ozonolysis and polymerization. Alkynes – Acidic character, Addition of hydrogen, halogens, water, and hydrogen halides, Polymerization. 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 mono-substituted benzene. |
| Unit 16: Organic Compounds Containing Halogens | General methods of preparation, Properties, and reactions, Nature of C-X bond, Mechanisms of substitution reactions, Uses, Environmental impact, and toxicity of organic halides. |
| Unit 17: Alcohols, Phenols, and Ethers | General methods of preparation, Properties, and reactions, Alcohols – Classification, Hydrogen bonding, and reactivity, Phenols – acidity, and reactions, Ethers – General methods of preparation and reactions, Uses, Environmental impact, and toxicity. |
| Unit 18: Aldehydes, Ketones and Carboxylic Acids | General methods of preparation, Properties, and reactions, Mechanisms of nucleophilic addition, Reduction of carbonyl compounds, and oxidation of alcohols, Acidity of carboxylic acids, and reactions of carboxylic acids. |
| Unit 19: Organic Compounds Containing Nitrogen | General methods of preparation, Properties, and reactions of amines, Mechanisms of nucleophilic substitution and electrophilic addition reactions of nitrogen-containing compounds, Preparation of nitro compounds and their reactions, Uses, Environmental impact, and toxicity. |
| Unit 20: Biomolecules | Carbohydrates – Classification, Structure, and reactions, Proteins – Classification, Structure, and reactions, Lipids – Classification and reactions, Nucleic acids – Structure, function, and properties. |
| Unit 21: Polymers | Classification and general methods of preparation, Properties, and uses of synthetic and natural polymers. |
| Unit 22: Chemistry in Everyday Life | Chemical substances in medicines, food, and cosmetics; Role of chemistry in health and nutrition; Environmental impact of chemical substances. |
JEE (Main) Paper 2A (B.Arch.) – Syllabus
| Part | Unit | Topics |
| Part – I: MATHEMATICS | Unit 1: Sets, Relations and Functions | Sets and their representation; Union, intersection, complement of sets; Power set; Relations and functions (one-one, into, onto). |
| Unit 2: Complex Numbers and Quadratic Equations | Complex numbers as ordered pairs; Argand diagram; Quadratic equations in real and complex systems; Relations between roots and coefficients. | |
| Unit 3: Matrices and Determinants | Algebra of matrices; Determinants of order two and three; Area of triangles using determinants; Inverse of a square matrix; Simultaneous linear equations using matrices. | |
| Unit 4: Permutations and Combinations | Fundamental principle of counting; Permutations and combinations; Applications. | |
| Unit 5: Binomial Theorem and its Simple Applications | Binomial theorem for positive integral index; General and middle terms; Applications. | |
| Unit 6: Sequence and Series | Arithmetic and geometric progressions; Relation between A.M and G.M. | |
| Unit 7: Limit, Continuity and Differentiability | Real-valued functions; Limits, continuity, and differentiability; Derivatives; Applications of derivatives. | |
| Unit 8: Integral Calculus | Integral as an anti-derivative; Fundamental integrals; Integration methods; Areas of regions bounded by curves. | |
| Unit 9: Differential Equations | Ordinary differential equations; Solution methods for differential equations. | |
| Unit 10: Coordinate Geometry | Cartesian coordinates; Distance and section formulas; Equations of lines and conics; Circle equations. | |
| Unit 11: Three-Dimensional Geometry | Coordinates in space; Distance between points; Equation of a line; Skew lines. | |
| Unit 12: Vector Algebra | Addition of vectors; Scalar and vector products. | |
| Unit 13: Statistics and Probability | Measures of dispersion; Probability concepts; Theorems and distributions. | |
| Unit 14: Trigonometry | Trigonometric identities; Inverse trigonometric functions. | |
| Part – II: APTITUDE TEST | Unit 1: Awareness of Persons and Objects | Awareness of architecture-related elements; Visualizing 3D objects from 2D drawings. |
| Unit 2: Three-Dimensional Perception | Understanding scale, proportions; Design and drawing of geometric shapes; Transformations of forms; Generating plans and elevations. | |
| Part – III: DRAWING TEST | Sketching from memory | Urban and landscape scenes; To be conducted on a drawing sheet; Candidates to bring pencils, geometry box, crayons, etc. |
JEE (Main) Paper 2B (B.Planning) – Syllabus
| Part | Unit | Topics |
| Part – I: MATHEMATICS | Unit 1: Sets, Relations and Functions | Sets and their representation; Union, intersection, complement of sets; Power set; Relations and functions (one-one, into, onto). |
| Unit 2: Complex Numbers and Quadratic Equations | Complex numbers as ordered pairs; Argand diagram; Quadratic equations in real and complex systems; Relations between roots and coefficients. | |
| Unit 3: Matrices and Determinants | Algebra of matrices; Determinants of order two and three; Area of triangles using determinants; Inverse of a square matrix; Simultaneous linear equations using matrices. | |
| Unit 4: Permutations and Combinations | Fundamental principle of counting; Permutations and combinations; Applications. | |
| Unit 5: Binomial Theorem and its Simple Applications | Binomial theorem for positive integral index; General and middle terms; Applications. | |
| Unit 6: Sequence and Series | Arithmetic and geometric progressions; Relation between A.M and G.M. | |
| Unit 7: Limit, Continuity and Differentiability | Real-valued functions; Limits, continuity, and differentiability; Derivatives; Applications of derivatives. | |
| Unit 8: Integral Calculus | Integral as an anti-derivative; Fundamental integrals; Integration methods; Areas of regions bounded by curves. | |
| Unit 9: Differential Equations | Ordinary differential equations; Solution methods for differential equations. | |
| Unit 10: Coordinate Geometry | Cartesian coordinates; Distance and section formulas; Equations of lines and conics; Circle equations. | |
| Unit 11: Three Dimensional Geometry | Coordinates in space; Distance between points; Equation of a line; Skew lines. | |
| Unit 12: Vector Algebra | Addition of vectors; Scalar and vector products. | |
| Unit 13: Statistics and Probability | Measures of dispersion; Probability concepts; Theorems and distributions. | |
| Unit 14: Trigonometry | Trigonometric identities; Inverse trigonometric functions. | |
| Part – II: APTITUDE TEST | Unit 1: Awareness of Persons and Objects | Awareness of architecture-related elements; Visualizing 3D objects from 2D drawings. |
| Unit 2: Three Dimensional Perception | Understanding scale, proportions; Design and drawing of geometric shapes; Transformations of forms; Generating plans and elevations. | |
| Part – III: PLANNING | Unit 1: General Awareness | Knowledge of prominent cities, development issues, government programs, etc. |
| Unit 2: Social Sciences | Nationalism, colonialism, development issues, resources, human settlements, political structures, economic development, urbanization, and rural development. | |
| Unit 3: Thinking Skills | Comprehension; Map reading; Critical reasoning; Understanding charts and graphs; Basic statistics and quantitative reasoning. |
