{"id":20,"date":"2024-07-01T09:45:22","date_gmt":"2024-07-01T09:45:22","guid":{"rendered":"https:\/\/testbee.in\/testbeeblogs\/?p=20"},"modified":"2024-07-01T09:45:22","modified_gmt":"2024-07-01T09:45:22","slug":"jee-main-2025-important-dates-and-subject-wise-syllabus","status":"publish","type":"post","link":"https:\/\/testbee.in\/blogs\/uncategorized\/jee-main-2025-important-dates-and-subject-wise-syllabus\/","title":{"rendered":"JEE Main 2025 Important Dates and subject wise syllabus"},"content":{"rendered":"\n<p><strong>JEE Main 2025 Important Dates<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Events<\/td><td>Tentative Dates<\/td><\/tr><tr><td>JEE Main Registration Start Date<\/td><td>November 2024<\/td><\/tr><tr><td>JEE Main Registration End Date<\/td><td>December 2024<\/td><\/tr><tr><td>JEE Main Admit Card&nbsp;<\/td><td>3 days before the exam<\/td><\/tr><tr><td>JEE Main Exam Date<\/td><td>January and April 2025<\/td><\/tr><tr><td>JEE Main Results<\/td><td>One week after exam<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>JEE Main 2025 Syllabus<\/strong><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Physics<\/strong><\/h3>\n\n\n\n<h6 class=\"wp-block-heading\">Here is the topic wise syllabus for JEE Main 2025 Physics<\/h6>\n\n\n\n<p><strong>Unit 1: Physics and Measurement<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Physics, technology, and society<\/li>\n\n\n\n<li>\u00a0SI Units, fundamental and derived units<\/li>\n\n\n\n<li>\u00a0Least count, accuracy, precision of measuring instruments<\/li>\n\n\n\n<li>\u00a0Errors in measurement<\/li>\n\n\n\n<li>\u00a0Dimensions of physical quantities, dimensional analysis, applications<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 2: Kinematics<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Frame of reference, motion in a straight line<\/li>\n\n\n\n<li>\u00a0Positiontime graph, speed, velocity<\/li>\n\n\n\n<li>\u00a0Uniform and nonuniform motion, average speed, instantaneous velocity<\/li>\n\n\n\n<li>\u00a0Uniformly accelerated motion, velocitytime, positiontime graph<\/li>\n\n\n\n<li>\u00a0Scalars and vectors, vector addition and subtraction, zero vector, scalar and vector products<\/li>\n\n\n\n<li>\u00a0Unit vector, resolution of a vector, relative velocity<\/li>\n\n\n\n<li>\u00a0Motion in a plane, projectile motion, uniform circular motion<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 3: Laws of Motion<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Force and inertia, Newton\u2019s First Law<\/li>\n\n\n\n<li>\u00a0Momentum, Newton\u2019s Second Law, impulse<\/li>\n\n\n\n<li>\u00a0Newton\u2019s Third Law, conservation of linear momentum<\/li>\n\n\n\n<li>\u00a0Equilibrium of concurrent forces, static and kinetic friction, rolling friction<\/li>\n\n\n\n<li>\u00a0Dynamics of uniform circular motion, centripetal force, applications<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 4: Work, Energy and Power<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Work by constant and variable forces<\/li>\n\n\n\n<li>\u00a0Kinetic and potential energies, workenergy theorem, power<\/li>\n\n\n\n<li>\u00a0Potential energy of spring, conservation of mechanical energy<\/li>\n\n\n\n<li>\u00a0Conservative and nonconservative forces, elastic and inelastic collisions<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 5: Rotational Motion<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Centre of mass of twoparticle system, rigid body<\/li>\n\n\n\n<li>\u00a0Rotational motion basics, torque, angular momentum, conservation<\/li>\n\n\n\n<li>\u00a0Moment of inertia, radius of gyration, parallel and perpendicular axes theorems<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 6: Gravitation<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Universal law of gravitation, acceleration due to gravity, variations<\/li>\n\n\n\n<li>\u00a0Kepler\u2019s laws, gravitational potential energy, potential<\/li>\n\n\n\n<li>\u00a0Escape velocity, orbital velocity, geostationary satellites<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 7: Properties of Solids and Liquids<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Elastic behavior, stressstrain relationship, Hooke\u2019s Law<\/li>\n\n\n\n<li>\u00a0Moduli: Young\u2019s, bulk, rigidity<\/li>\n\n\n\n<li>\u00a0Pressure in fluids, Pascal\u2019s law, viscosity, Stokes\u2019 law, terminal velocity<\/li>\n\n\n\n<li>\u00a0Streamline and turbulent flow, Reynolds number, Bernoulli\u2019s principle<\/li>\n\n\n\n<li>\u00a0Surface tension, angle of contact, capillarity<\/li>\n\n\n\n<li>\u00a0Heat, temperature, thermal expansion, specific heat, calorimetry, heat transfer<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 8: Thermodynamics<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Thermal equilibrium, zeroth law, temperature concept<\/li>\n\n\n\n<li>\u00a0Heat, work, internal energy, first law, second law<\/li>\n\n\n\n<li>\u00a0Reversible and irreversible processes, Carnot engine efficiency<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 9: Kinetic Theory of Gases<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Equation of state, compressing gas work, kinetic theory assumptions<\/li>\n\n\n\n<li>\u00a0Pressure concept, kinetic energy, temperature, RMS speed<\/li>\n\n\n\n<li>\u00a0Degrees of freedom, law of equipartition, specific heat capacities, mean free path, Avogadro\u2019s number<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 10: Oscillation and Waves<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Periodic motion, period, frequency, displacement<\/li>\n\n\n\n<li>\u00a0Simple harmonic motion (SHM), energy in SHM, simple pendulum<\/li>\n\n\n\n<li>\u00a0Free, forced, damped oscillations, resonance, wave motion<\/li>\n\n\n\n<li>\u00a0Longitudinal and transverse waves, progressive wave displacement<\/li>\n\n\n\n<li>\u00a0Superposition principle, wave reflection, standing waves, beats, Doppler Effect<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 11: Electrostatics<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Electric charges, conservation, Coulomb\u2019s law<\/li>\n\n\n\n<li>\u00a0Electric field, field lines, dipole, torque<\/li>\n\n\n\n<li>\u00a0Gauss\u2019s law, applications, electric potential, equipotential surfaces<\/li>\n\n\n\n<li>\u00a0Conductors, insulators, dielectrics, capacitors, energy storage<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 12: Current Electricity<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Electric current, drift velocity, Ohm\u2019s law, resistance<\/li>\n\n\n\n<li>\u00a0VI characteristics, electrical energy, power, resistivity, color code<\/li>\n\n\n\n<li>\u00a0Series and parallel resistors, temperature dependence<\/li>\n\n\n\n<li>\u00a0Electric cells, internal resistance, potential difference, emf<\/li>\n\n\n\n<li>\u00a0Kirchhoff\u2019s laws, Wheatstone bridge, meter bridge, potentiometer<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 13: Magnetic Effect of Current and Magnetism<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0BiotSavart law, Ampere\u2019s law, force on moving charge, cyclotron<\/li>\n\n\n\n<li>\u00a0Force on currentcarrying conductor, parallel currents, torque<\/li>\n\n\n\n<li>\u00a0Moving coil galvanometer, magnetic dipole, Earth\u2019s magnetic field<\/li>\n\n\n\n<li>\u00a0Magnetic substances, hysteresis, electromagnets, permanent magnets<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 14: Electromagnetic Induction and Alternating Current<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Faraday\u2019s law, Lenz\u2019s law, eddy currents, self and mutual inductance<\/li>\n\n\n\n<li>\u00a0Alternating currents, RMS value, reactance, impedance<\/li>\n\n\n\n<li>\u00a0LCR series circuit, resonance, quality factor, AC generator, transformer<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 15: Electromagnetic Waves<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Characteristics, transverse nature, spectrum (radio to gamma rays)<\/li>\n\n\n\n<li>\u00a0Applications of electromagnetic waves<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 16: Optics<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Reflection, refraction, mirror formula, total internal reflection<\/li>\n\n\n\n<li>\u00a0Prism, lens formula, magnification, power, lens combination<\/li>\n\n\n\n<li>\u00a0Microscope, telescope, wavefront, Huygens\u2019 principle<\/li>\n\n\n\n<li>\u00a0Interference, diffraction, resolving power, polarization, Brewster\u2019s law<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 17: Dual Nature of Matter and Radiation<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Photoelectric effect, Einstein\u2019s equation, matter waves, de Broglie relation<\/li>\n\n\n\n<li>\u00a0DavissonGermer experiment<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 18: Atoms and Nuclei<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Rutherford\u2019s model, Bohr model, energy levels, hydrogen spectrum<\/li>\n\n\n\n<li>\u00a0Nucleus composition, radioactivity, decay law, massenergy relation<\/li>\n\n\n\n<li>\u00a0Nuclear fission, fusion<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 19: Electronic Devices<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0Semiconductors, diodes, rectifiers, LED, photodiode, solar cell, Zener diode<\/li>\n\n\n\n<li>\u00a0Transistors, logic gates, amplifiers, oscillators, switches<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Chemistry<\/strong><\/h3>\n\n\n\n<h6 class=\"wp-block-heading\">The JEE Main 2025 Syllabus is divided into 3 sections: Physical Chemistry, Inorganic Chemistry and Organic Chemistry. The topic-wise JEE Main Syllabus 2025 for Chemistry are mentioned below-<\/h6>\n\n\n\n<p><strong>Unit 1: Some Basic Concepts in Chemistry<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Matter and its nature, Dalton\u2019s atomic theory: Concept of atom, molecule, element, and compound.<\/li>\n\n\n\n<li>Physical quantities and their measurements in Chemistry: Precision and accuracy, significant figures.<\/li>\n\n\n\n<li>S.I. Units, dimensional analysis: Laws of chemical combination; Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae, chemical equations, and stoichiometry.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 2: Atomic Structure<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Thomson and Rutherford atomic models and their limitations.<\/li>\n\n\n\n<li>Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom.<\/li>\n\n\n\n<li>Bohr model of a hydrogen atom: Postulates, energy of the electron, radii of orbits, limitations.<\/li>\n\n\n\n<li>Dual nature of matter, de Broglie\u2019s relationship, Heisenberg uncertainty principle.<\/li>\n\n\n\n<li>Quantum mechanical model of the atom: Atomic orbitals, quantum numbers, electron configurations, stability of half-filled and completely filled orbitals.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 3: Chemical Bonding and Molecular Structure<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Kossel-Lewis approach: Ionic and covalent bonds.<\/li>\n\n\n\n<li>Ionic Bonding: Factors, lattice enthalpy.<\/li>\n\n\n\n<li>Covalent Bonding: Electronegativity, Fajan\u2019s rule, dipole moment, VSEPR theory, hybridization, resonance, Molecular Orbital Theory.<\/li>\n\n\n\n<li>Metallic bonding, hydrogen bonding, and applications.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 4: Chemical Thermodynamics<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fundamentals: System, surroundings, properties, state functions, types of processes.<\/li>\n\n\n\n<li>First law: Work, heat, internal energy, enthalpy, heat capacity.<\/li>\n\n\n\n<li>Hess\u2019s law, bond dissociation, combustion, formation, sublimation, phase transition, hydration, ionization, solution enthalpies.<\/li>\n\n\n\n<li>Second law: Spontaneity, entropy, Gibbs energy, equilibrium constant.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 5: Solutions<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Concentration: Molality, molarity, mole fraction, percentage composition.<\/li>\n\n\n\n<li>Vapour pressure: Raoult\u2019s Law, ideal and non-ideal solutions.<\/li>\n\n\n\n<li>Colligative properties: Relative lowering of vapour pressure, freezing point depression, boiling point elevation, osmotic pressure.<\/li>\n\n\n\n<li>Molecular mass determination, van\u2019t Hoff factor.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 6: Equilibrium<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Dynamic equilibrium: Physical and chemical processes, Henry\u2019s law, Le Chatelier\u2019s principle.<\/li>\n\n\n\n<li>Chemical equilibrium: Kp, Kc, Gibbs energy.<\/li>\n\n\n\n<li>Ionic equilibrium: Electrolytes, acids and bases, pH scale, solubility product, buffer solutions.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 7: Redox Reactions and Electrochemistry<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Redox reactions: Oxidation numbers, balancing.<\/li>\n\n\n\n<li>Electrolytic and metallic conduction: Molar conductivities, Kohlrausch\u2019s law.<\/li>\n\n\n\n<li>Electrochemical cells: Galvanic cells, electrode potentials, Nernst equation, dry cell, lead accumulator, fuel cells.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 8: Chemical Kinetics<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Reaction rate: Factors, elementary and complex reactions, rate law, Arrhenius theory, activation energy, collision theory.<\/li>\n<\/ul>\n\n\n\n<p><strong>Inorganic Chemistry<\/strong> <strong>Unit 9: Classification of Elements and Periodicity in Properties<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Modern periodic law, s, p, d, and f block elements, periodic trends: Atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, chemical reactivity.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 10: p-Block Elements<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Group 13 to Group 18 elements: General trends, preparation, properties, uses of compounds like borax, boric acid, diborane, aluminum chloride, silicates, zeolites, silicones, nitrogen, phosphorus, ammonia, nitric acid, sulfuric acid, interhalogen compounds, and oxoacids.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 11: d- and f-Block Elements<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Transition elements: General characteristics, preparation, properties, uses of K2Cr2O7 and KMnO4.<\/li>\n\n\n\n<li>Inner transition elements: Lanthanoids, actinoids.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 12: Coordination Compounds<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Werner\u2019s theory, ligands, coordination number, isomerism, bonding theories, importance in analysis, and biological systems.<\/li>\n<\/ul>\n\n\n\n<p><strong>Organic Chemistry<\/strong> <strong>Unit 13: Purification and Characterization of Organic Compounds<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Purification techniques, qualitative and quantitative analysis, empirical and molecular formulae.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 14: Some Basic Principles of Organic Chemistry<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tetravalency, hybridization, classification, homologous series, isomerism, nomenclature, bond fission, electronic effects, reaction types.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 15: Hydrocarbons<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Alkanes, alkenes, alkynes: Nomenclature, preparation, properties, reactions, isomerism, aromatic hydrocarbons.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 16: Organic Compounds Containing Halogen<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Preparation, properties, substitution reactions, environmental effects of chloroform, iodoform, freons, DDT.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 17: Organic Compounds Containing Oxygen<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Alcohols, phenols, ethers: Preparation, properties, reactions, uses.<\/li>\n\n\n\n<li>Aldehydes and ketones: Reactions, chemical tests.<\/li>\n\n\n\n<li>Carboxylic acids: Acidic strength.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 18: Organic Compounds Containing Nitrogen<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Amines: Nomenclature, properties, reactions.<\/li>\n\n\n\n<li>Diazonium salts: Importance in synthesis.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 19: Biomolecules<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Carbohydrates, proteins, vitamins, nucleic acids: Classification, structure, function.<\/li>\n<\/ul>\n\n\n\n<p><strong>Unit 20: Principles Related to Practical Chemistry<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Detection of elements, functional groups in organic compounds.<\/li>\n\n\n\n<li>Preparation of inorganic and organic compounds.<\/li>\n\n\n\n<li>Titrimetric exercises, qualitative salt analysis, enthalpy experiments, preparation of sols, kinetic studies.<\/li>\n<\/ul>\n\n\n\n<p><strong>Mathematics<\/strong><\/p>\n\n\n\n<h6 class=\"wp-block-heading\">The JEE Main 2025 Mathematics Syllabus has 16 units altogether and covers subjects from the usual class 11 and 12 syllabus.<\/h6>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 1: Sets, Relations, and Functions<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sets: Definition, representation, union, intersection, complement, and algebraic properties; Power set.<\/li>\n\n\n\n<li>Relations: Types, equivalence relations.<\/li>\n\n\n\n<li>Functions: One-one, onto, and into functions; Composition of functions.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 2: Complex Numbers and Quadratic Equations<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Complex Numbers: Ordered pairs of reals, representation a+iba + iba+ib, Argand diagram, modulus, argument, algebra, square roots, triangle inequality.<\/li>\n\n\n\n<li>Quadratic Equations: Solutions in real and complex systems, relations between roots and coefficients, nature of roots, forming quadratic equations from given roots.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 3: Matrices and Determinants<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Matrices: Definition, types, algebra, determinants (order 2 and 3), properties, evaluation.<\/li>\n\n\n\n<li>Applications: Area of triangles, adjoint, inverse of square matrices, elementary transformations.<\/li>\n\n\n\n<li>Linear Equations: Consistency tests and solutions using matrices and determinants.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 4: Permutation and Combination<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Counting Principle: Fundamental principle, permutation, and combination definitions.<\/li>\n\n\n\n<li>Applications: P(n,r) and C(n,r), simple applications.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 5: Binomial Theorem and its Simple Applications<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Theorem: Positive integral index, general term, middle term, binomial coefficients, properties.<\/li>\n\n\n\n<li>Applications: Simple applications of the binomial theorem.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 6: Sequence and Series<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Progressions: Arithmetic and geometric progressions.<\/li>\n\n\n\n<li>Means: Insertion of arithmetic and geometric means.<\/li>\n\n\n\n<li>Special Series: Sums SnS_nSn\u200b, Sn2S_{n^2}Sn2\u200b, Sn3S_{n^3}Sn3\u200b, arithmetic-geometric progression.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 7: Limit, Continuity, and Differentiability<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Functions: Real-valued functions, algebra, polynomials, rational, trigonometric, logarithmic, exponential, inverse functions, graphs.<\/li>\n\n\n\n<li>Calculus: Limits, continuity, differentiability, differentiation (sum, difference, product, quotient), trigonometric, inverse trigonometric, logarithmic, exponential, composite, implicit functions.<\/li>\n\n\n\n<li>Theorems: Rolle\u2019s, Lagrange\u2019s Mean Value Theorem.<\/li>\n\n\n\n<li>Applications: Rate of change, monotonic functions, maxima, minima, tangents, normals.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 8: Integral Calculus<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Integration: Anti-derivative, fundamental integrals, techniques (substitution, parts, partial fractions, trigonometric identities).<\/li>\n\n\n\n<li>Definite Integrals: Properties, evaluation, area determination.<\/li>\n\n\n\n<li>Theorems: Fundamental theorem of calculus.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 9: Differential Equations<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ordinary Differential Equations: Order, degree, formation, solutions (separation of variables, homogeneous, linear differential equations).<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 10: Co-ordinate Geometry<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cartesian Plane: Coordinates, distance formula, section formula, locus, translation of axes, slope, parallel\/perpendicular lines, intercepts.<\/li>\n\n\n\n<li>Lines: Equations, intersections, angles, concurrence, point-line distance, bisectors, centroids, ortho centres, circumcentres, family of lines.<\/li>\n\n\n\n<li>Circle: Standard and general forms, radius, center, diameter endpoints, line-circle intersections, tangents.<\/li>\n\n\n\n<li>Conic Sections: Parabola, ellipse, hyperbola equations, tangents.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 11: Three-Dimensional Geometry<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Points in Space: Coordinates, distance, section formula, direction ratios\/cosines, angle between lines.<\/li>\n\n\n\n<li>Skew Lines: Shortest distance, equations.<\/li>\n\n\n\n<li>Lines and Planes: Equations, intersections, coplanarity.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 12: Vector Algebra<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Vectors and Scalars: Definitions, addition, components (2D and 3D), scalar and vector products, triple products.<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 13: Statistics and Probability<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Statistics: Measures of dispersion (mean, median, mode, standard deviation, variance, mean deviation for grouped and ungrouped data).<\/li>\n\n\n\n<li>Probability: Definitions, theorems (addition, multiplication, Bayes\u2019), distributions (random variable, Bernoulli trials, binomial distribution).<\/li>\n<\/ul>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Unit 14: Trigonometry<\/strong><\/h6>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Identities and Equations: Trigonometric identities, equations.<\/li>\n\n\n\n<li>Functions: Trigonometric and inverse trigonometric functions, properties.<\/li>\n\n\n\n<li>Applications: Heights and distances.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>JEE Main 2025 Important Dates Events Tentative Dates JEE Main Registration Start Date November 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