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JEE Main PYQ PDFs — free download

Year-wise papers, chapter-wise and topic-wise PDFs with answer key. Every question has a QR code — scan it to open its full step-by-step solution. One click, no sign-up.

Year-wise papers

PDF2026 · 8th April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 6th April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 6th April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 5th April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 5th April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 4th April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 4th April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 2nd April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 2nd April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 28th January Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 28th January Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 24th January Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 24th January Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 23rd January Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 23rd January Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 22nd January Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 22nd January Evening Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 21st January Morning Shift75 questions · answer key · QR code to every solution⬇PDF2026 · 21st January Evening Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 8th April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 7th April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 7th April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 4th April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 4th April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 3rd April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 3rd April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 2nd April Morning Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 2nd April Evening Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 29th January Morning Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 28th January Morning Shift75 questions · answer key · QR code to every solution⬇PDF2025 · 28th January Evening Shift75 questions · answer key · QR code to every solution⬇

Physics — chapter-wise

PDFUnits and Measurements47 questions · Class 11⬇

Topic-wise PDFs (7)

Combination of Errors 9 Dimensional Analysis and Its Applications 6 Dimensions of Physical Quantities 20 Errors in Measurement (Absolute, Relative, Percentage) 1 Least Count, Vernier Callipers and Screw Gauge 8 SI Units, Fundamental and Derived Units 1 Significant Figures and Rounding Off 2

PDFMotion in a Straight Line16 questions · Class 11⬇

Topic-wise PDFs (8)

Acceleration 1 Average and Instantaneous Velocity and Speed 1 Frame of Reference, Position, Path Length and Displacement 1 Kinematic Equations for Uniformly Accelerated Motion 2 Motion under Gravity (Free Fall) 3 Non-uniform Acceleration (Calculus Based) 3 Position–Time, Velocity–Time and Acceleration–Time Graphs 4 Relative Velocity in One Dimension 1

PDFMotion in a Plane18 questions · Class 11⬇

Topic-wise PDFs (4)

Motion in a Plane with Constant Acceleration 1 Projectile Motion 14 Relative Velocity in Two Dimensions (Rain–Man, River–Boat) 2 Uniform Circular Motion (Angular Velocity, Centripetal Acceleration) 1

PDFLaws of Motion23 questions · Class 11⬇

Topic-wise PDFs (7)

Conservation of Linear Momentum 1 Dynamics of Circular Motion (Banking of Roads, Conical Pendulum) 3 Equilibrium of Concurrent Forces 3 Free Body Diagrams, Connected Bodies, Pulleys, Lifts and Wedges 3 Newton's Second Law and Momentum 5 Pseudo Force and Non-inertial Frames 3 Static, Kinetic and Rolling Friction 5

PDFWork, Energy and Power27 questions · Class 11⬇

Topic-wise PDFs (8)

Collisions in One Dimension (Elastic and Inelastic) 3 Conservation of Mechanical Energy 2 Conservative and Non-conservative Forces 4 Kinetic Energy and Work–Energy Theorem 4 Potential Energy, Potential Energy of a Spring 2 Power 3 Vertical Circular Motion 4 Work Done by Constant and Variable Forces 5

PDFSystem of Particles and Rotational Motion51 questions · Class 11⬇

Topic-wise PDFs (11)

Angular Velocity and Angular Acceleration 1 Centre of Mass 3 Conservation of Angular Momentum 1 Equilibrium of a Rigid Body 2 Impulse, Collision and Angular Momentum of Rigid Bodies (JEE) 1 Kinematics and Dynamics of Rotation about a Fixed Axis 11 Moment of Inertia and Radius of Gyration 7 Motion of Centre of Mass 3 Rolling Motion 6 Theorems of Parallel and Perpendicular Axes 11 Torque and Angular Momentum 5

PDFGravitation16 questions · Class 11⬇

Topic-wise PDFs (7)

Acceleration due to Gravity and Its Variation (Altitude, Depth, Rotation) 2 Earth Satellites and Orbital Velocity 1 Energy of an Orbiting Satellite, Geostationary and Polar Satellites 2 Escape Speed 4 Gravitational Potential Energy 3 Kepler's Laws 2 Universal Law of Gravitation 2

PDFMechanical Properties of Solids22 questions · Class 11⬇

Topic-wise PDFs (7)

Applications of Elastic Behaviour of Materials 2 Bulk Modulus and Compressibility 4 Elastic Potential Energy 2 Hooke's Law and Stress–Strain Curve 1 Shear Modulus (Modulus of Rigidity) 3 Stress and Strain 1 Young's Modulus 9

PDFMechanical Properties of Fluids31 questions · Class 11⬇

Topic-wise PDFs (9)

Angle of Contact, Excess Pressure in Drops and Bubbles 2 Bernoulli's Principle and Its Applications 4 Buoyancy and Archimedes' Principle 4 Capillary Rise 3 Hydraulic Machines 1 Pressure, Pascal's Law, Variation of Pressure with Depth 2 Streamline Flow and Equation of Continuity 1 Surface Tension and Surface Energy 7 Viscosity and Stokes' Law, Terminal Velocity 7

PDFThermal Properties of Matter16 questions · Class 11⬇

Topic-wise PDFs (6)

Change of State and Latent Heat 3 Heat Transfer: Conduction 2 Heat Transfer: Radiation (Black Body, Wien's Law, Stefan's Law) 1 Ideal-Gas Equation and Absolute Temperature 3 Specific Heat Capacity and Calorimetry 3 Thermal Expansion 4

PDFThermodynamics (Physics)31 questions · Class 11⬇

Topic-wise PDFs (6)

Carnot Engine 1 Cyclic Processes and P–V Diagrams 4 First Law of Thermodynamics 4 Specific Heat Capacities of Gases (Cp, Cv) 3 Thermodynamic Processes (Isothermal, Adiabatic, Isobaric, Isochoric) 18 Thermodynamic State Variables and Equation of State 1

PDFKinetic Theory21 questions · Class 11⬇

Topic-wise PDFs (6)

Degrees of Freedom and Specific Heat Capacities 3 Kinetic Interpretation of Temperature 5 Law of Equipartition of Energy 1 Mean Free Path 3 Molecular Nature of Matter, Behaviour of Gases 7 RMS, Average and Most Probable Speeds 2

PDFOscillations20 questions · Class 11⬇

Topic-wise PDFs (8)

Energy in SHM 2 Force Law for SHM 1 Periodic and Oscillatory Motion 1 Physical Pendulum and Angular SHM (JEE) 1 Simple Harmonic Motion and Its Equation 2 Simple Pendulum 4 Spring–Mass Systems 5 Velocity and Acceleration in SHM 4

PDFWaves19 questions · Class 11⬇

Topic-wise PDFs (5)

Beats 2 Displacement Relation in a Progressive Wave 5 Principle of Superposition of Waves 2 Speed of a Travelling Wave (String, Sound) 6 Standing Waves and Normal Modes (Strings, Organ Pipes) 4

PDFElectric Charges and Fields25 questions · Class 12⬇

Topic-wise PDFs (9)

Applications of Gauss's Law (Line, Sheet, Shell) 4 Continuous Charge Distributions 4 Coulomb's Law 1 Dipole in a Uniform External Field (Torque) 4 Electric Dipole: Field on Axis and Equator 3 Electric Field and Electric Field Lines 2 Electric Field due to Point Charges and Systems of Charges 2 Electric Flux 1 Gauss's Law 4

PDFElectrostatic Potential and Capacitance44 questions · Class 12⬇

Topic-wise PDFs (12)

Capacitors and Capacitance, Parallel Plate Capacitor 1 Combination of Capacitors 5 Dielectrics and Polarisation 2 Effect of Dielectric on Capacitance 8 Electrostatic Potential and Potential Difference 3 Electrostatics of Conductors 5 Energy Stored in a Capacitor 4 Equipotential Surfaces 1 Potential Energy in an External Field (Dipole) 1 Potential Energy of a System of Charges 4 Potential due to a Point Charge, System of Charges and Dipole 5 Relation between Field and Potential 5

PDFCurrent Electricity38 questions · Class 12⬇

Topic-wise PDFs (10)

Cells in Series and Parallel 4 Cells, EMF and Internal Resistance 1 Combination of Resistors: Series and Parallel 11 Drift of Electrons and Origin of Resistivity, Mobility 1 Electric Current and Current Density 1 Electrical Energy and Power 6 Kirchhoff's Rules 4 Potentiometer (Old Syllabus) 1 RC Circuits: Charging and Discharging (JEE) 2 Wheatstone Bridge and Metre Bridge 7

PDFMoving Charges and Magnetism35 questions · Class 12⬇

Topic-wise PDFs (10)

Ampere's Circuital Law and Its Applications 3 Biot–Savart Law 6 Force between Two Parallel Currents, Definition of Ampere 1 Magnetic Field on the Axis of a Circular Current Loop 4 Magnetic Force on a Current-carrying Conductor 1 Magnetic Force on a Moving Charge (Lorentz Force) 4 Motion in Combined Electric and Magnetic Fields (Velocity Selector, Cyclotron) 1 Motion of a Charge in a Magnetic Field 8 Moving Coil Galvanometer, Conversion to Ammeter and Voltmeter 4 Torque on a Current Loop, Magnetic Dipole Moment 3

PDFMagnetism and Matter9 questions · Class 12⬇

Topic-wise PDFs (5)

Bar Magnet as an Equivalent Solenoid, Magnetic Field Lines 2 Gauss's Law for Magnetism 1 Magnetic Dipole in a Uniform Field 2 Magnetic Properties of Materials (Dia-, Para-, Ferromagnetism) 1 Magnetisation and Magnetic Intensity 3

PDFElectromagnetic Induction25 questions · Class 12⬇

Topic-wise PDFs (8)

AC Generator 2 Energy Stored in an Inductor 3 Faraday's Laws of Induction 6 LR Circuits: Growth and Decay of Current (JEE) 2 Lenz's Law and Conservation of Energy 1 Motional EMF 8 Mutual Inductance 2 Self-Inductance 1

PDFAlternating Current17 questions · Class 12⬇

Topic-wise PDFs (7)

AC Voltage Applied to a Resistor, RMS and Peak Values 4 AC Voltage Applied to an Inductor 1 LC Oscillations 1 Phasors 1 Power in AC Circuits, Power Factor and Wattless Current 4 Resonance and Quality Factor 2 Series LCR Circuit, Impedance and Phase 4

PDFElectromagnetic Waves26 questions · Class 12⬇

Topic-wise PDFs (3)

Displacement Current and Maxwell's Equations (Qualitative) 5 Electromagnetic Spectrum and Uses (Radio to Gamma Rays) 1 Properties of EM Waves (Speed, Transverse Nature, Energy, Momentum, Intensity) 20

PDFRay Optics and Optical Instruments61 questions · Class 12⬇

Topic-wise PDFs (8)

Power and Combination of Thin Lenses 8 Reflection of Light by Spherical Mirrors, Mirror Formula and Magnification 9 Refraction at Spherical Surfaces, Thin Lenses and Lens Maker's Formula 17 Refraction through a Prism, Dispersion 11 Refraction, Snell's Law, Apparent Depth 6 Simple and Compound Microscope 3 Telescopes (Refracting and Reflecting) 1 Total Internal Reflection and Its Applications (Optical Fibres, Prisms) 6

PDFWave Optics35 questions · Class 12⬇

Topic-wise PDFs (8)

Brewster's Law, Polarisation by Scattering and Reflection 3 Coherent and Incoherent Sources, Interference 3 Conditions for Sustained Interference, Thin Films (JEE) 1 Diffraction at a Single Slit 5 Huygens Principle, Reflection and Refraction of Plane Waves 2 Polarisation, Polaroids and Malus's Law 3 Resolving Power of Optical Instruments (Old Syllabus) 2 Young's Double Slit Experiment (Fringe Width, Intensity) 16

PDFDual Nature of Radiation and Matter26 questions · Class 12⬇

Topic-wise PDFs (4)

Einstein's Photoelectric Equation, Particle Nature of Light 8 Photoelectric Effect: Experimental Study 4 Photon: Energy, Momentum and Radiation Pressure 3 Wave Nature of Matter, de Broglie Wavelength 11

PDFAtoms20 questions · Class 12⬇

Topic-wise PDFs (5)

Alpha-particle Scattering and Rutherford's Nuclear Model 1 Atomic Spectra, Spectral Series of Hydrogen 5 Bohr Model of the Hydrogen Atom (Radius, Velocity, Energy) 11 Distance of Closest Approach and Impact Parameter 2 Energy Levels and Line Spectra 1

PDFNuclei19 questions · Class 12⬇

Topic-wise PDFs (8)

Alpha, Beta and Gamma Decay 2 Atomic Masses and Composition of the Nucleus 1 Binding Energy per Nucleon Curve 1 Mass–Energy Equivalence and Binding Energy 8 Nuclear Fission 1 Nuclear Fusion and Energy Generation in Stars 1 Radioactivity: Law of Radioactive Decay, Half-life and Mean Life 1 Size of the Nucleus 4

PDFSemiconductor Electronics33 questions · Class 12⬇

Topic-wise PDFs (6)

Diode as a Rectifier (Half-wave and Full-wave) 1 Intrinsic and Extrinsic Semiconductors 1 Logic Gates (OR, AND, NOT, NAND, NOR) 18 Semiconductor Diode: Forward and Reverse Bias, V–I Characteristics 5 Special Purpose Diodes: Zener Diode, LED, Photodiode, Solar Cell 7 p–n Junction Formation 1

PDFExperimental Skills (Physics)4 questions · Class 12⬇

Topic-wise PDFs (4)

Coefficient of Viscosity by Terminal Velocity 1 Focal Length of Mirrors and Lenses (u–v Method) 1 Potentiometer: Comparison of EMF and Internal Resistance 1 Refractive Index by Travelling Microscope / Glass Slab 1

Chemistry — chapter-wise

PDFSome Basic Concepts of Chemistry35 questions · Physical Chemistry⬇

Topic-wise PDFs (7)

Calculation of Number of Particles (Y-Map) 6 Concentration Terms 6 Equivalent Weight and Normality 1 Importance of Chemistry, Classification of Matter, Properties of Matter and Their Measurement 1 Percentage Composition, Empirical Formula and Molecular Formula 4 Percentage Yield and Percentage Purity 2 Stoichiometry and Stoichiometric Calculations 15

PDFStructure of Atom39 questions · Physical Chemistry⬇

Topic-wise PDFs (11)

Atomic Spectra and Hydrogen Spectrum 8 Bohr Model for Hydrogen Atom 8 Dual Behaviour of Matter, de Broglie Theory 2 Electronic Configuration of Atoms and Ions 2 Energies of Orbitals 4 Filling of Orbitals in Atom, Aufbau Principle, Pauli Exclusion Principle, Hund's Rule of Maximum Multiplicity 1 Nodes, Radial Nodes and Angular Nodes 2 Particle Nature of Electromagnetic Radiation: Planck's Quantum Theory 3 Photoelectric Effect 3 Quantum Mechanical Model of Atom and Quantum Numbers 4 Shapes of Atomic Orbitals 2

PDFStates of Matter1 questions · Physical Chemistry⬇

PDFThermodynamics40 questions · Physical Chemistry⬇

Topic-wise PDFs (9)

Enthalpy Change of a Reaction, Enthalpy of Formation, Combustion, Atomisation and Bond Enthalpy 8 Enthalpy of Phase Transition, Lattice, Solution, Dilution and Neutralisation 5 First Law of Thermodynamics 4 Gibbs Energy Change and Equilibrium 7 Heat Capacity 2 Hess's Law of Constant Heat Summation 1 Thermochemical Equations and Calorimetry (Measurement of ΔU and ΔH) 2 Thermodynamic Terms, Types of System, State and Path Variables, Intensive and Extensive Properties 1 Work Done in Thermodynamic Processes (Reversible, Irreversible, Free Expansion) 10

PDFEquilibrium42 questions · Physical Chemistry⬇

Topic-wise PDFs (12)

Buffer Solutions 6 Common Ion Effect on Ionisation of Weak Acid/Weak Base 1 Degree of Dissociation Problems and Vapour Density 6 Equilibrium Constant Expression (Kp/Kc) and Factors Affecting Kp or Kc 4 Ionisation of Weak Acids/Weak Bases (Ka, Kb) 4 K, ΔG° and Spontaneity 4 Le Chatelier's Principle 1 Numerical on Equilibrium Concentrations 6 Numerical on Kp/Kc Relationship 1 Physical Equilibrium 1 Solubility Product (Ksp) and Precipitation 5 pH of Strong Acid, Strong Base and Mixture of Strong Acid or Strong Base 3

PDFRedox Reactions7 questions · Physical Chemistry⬇

Topic-wise PDFs (3)

Balancing of Redox Reactions 1 Equivalent Concept in Redox Titrations 4 Types of Redox Reactions 2

PDFSolutions39 questions · Physical Chemistry⬇

Topic-wise PDFs (9)

Abnormal Molar Mass and Abnormal Colligative Properties 7 Depression of Freezing Point 2 Elevation of Boiling Point 4 Ideal Solutions, Non-Ideal Solutions and Azeotropes 4 Osmosis and Osmotic Pressure 8 Relative Lowering of Vapour Pressure 3 Solubility of a Solid in a Liquid, Solubility of a Gas in a Liquid, Factors Affecting Solubility, Henry's Law 4 Types of Solutions and Concentration Terms 2 Vapour Pressure of Liquid–Liquid Solutions and Raoult's Law 5

PDFElectrochemistry36 questions · Physical Chemistry⬇

Topic-wise PDFs (10)

Concentration Cell 1 Concept of ΔG and Maximum Work Done by a Galvanic Cell 3 Dry Cell, Batteries, Fuel Cell and Corrosion 2 Electrochemical Cells, Construction of Galvanic Cell and Calculation of Standard EMF 2 Electrochemical Series and its Application 1 Electrolytic Conductance 6 Kohlrausch's Law 6 Nernst Equation and its Application 12 Qualitative Electrolysis 1 Quantitative Electrolysis 2

PDFChemical Kinetics44 questions · Physical Chemistry⬇

Topic-wise PDFs (9)

Average and Instantaneous Rate of Reaction 2 Effect of Catalyst 2 Half-Life of a Reaction 7 Integrated Rate Law of First Order Reaction 11 Integrated Rate Law of Zero Order Reaction 3 Pseudo First Order Reaction 1 Rate Law Expression, Order and Molecularity of a Reaction 5 Reaction Mechanism, Transition State, Intermediate and Energy Profile Diagram 3 Temperature Dependence of the Rate of a Reaction and Arrhenius Equation 10

PDFClassification of Elements and Periodicity in Properties28 questions · Inorganic Chemistry⬇

Topic-wise PDFs (9)

Atomic Radius and Ionic Radius 5 Development of Periodic Table 1 Electron Gain Enthalpy 1 Electronegativity 2 Ionisation Enthalpy 13 Metallic and Non-Metallic Character 2 Modern Periodic Table, Long Form of Periodic Table and IUPAC Names of Elements (Z > 100) 1 Nature of Oxides 2 Period, Group and Block 1

PDFChemical Bonding and Molecular Structure35 questions · Inorganic Chemistry⬇

Topic-wise PDFs (10)

Bond Parameters: Bond Length, Bond Energy and Bond Angle 3 Dipole Moment, Polarity and Non-Polar Molecules 2 Formal Charge and Resonance 1 Hybridisation 7 Hydrogen Bonding and van der Waals Forces 1 Ionic Bond and Kossel–Lewis Theory 1 Lewis Structures, Octet Rule and Coordinate Bond 3 Molecular Orbital Theory (MOT) 6 VSEPR Theory and Molecular Geometry 10 Valence Bond Theory (VBT) and Orbital Overlap 1

PDFp-Block Elements (Group 13 & 14)17 questions · Inorganic Chemistry⬇

Topic-wise PDFs (2)

Group 13 Elements (Boron Family) 11 Group 14 Elements (Carbon Family) 6

PDFp-Block Elements (Group 15–18)16 questions · Inorganic Chemistry⬇

Topic-wise PDFs (3)

Group 15 Elements (Nitrogen Family) 9 Group 16 Elements (Oxygen Family) 3 Group 17 Elements (Halogen Family) 4

PDFd- and f-Block Elements42 questions · Inorganic Chemistry⬇

Topic-wise PDFs (10)

Formation of Complex Compounds, Catalytic Properties, Interstitial Compounds and Alloy Formation 3 General Characteristics of Actinoids and Comparison with Lanthanoids 1 Ionisation Enthalpy of d-Block Elements 5 Lanthanoids: Electronic Configuration, Atomic and Ionic Sizes 1 Magnetic Properties of d-Block Elements and Formation of Coloured Ions 10 Melting Point and Enthalpy of Atomisation of d-Block Elements 5 Oxidation States of d-Block Elements and Their Stability 2 Oxides and Oxo-Anions of Transition Metals 4 Preparation and Properties of KMnO₄ 5 Preparation and Properties of K₂Cr₂O₇ 6

PDFCoordination Compounds56 questions · Inorganic Chemistry⬇

Topic-wise PDFs (9)

Applications and Importance of Coordination Compounds 2 Basic Terminology in Coordination Compounds 1 Colour in Coordination Compounds 2 Crystal Field Theory (CFT) 22 Metal Carbonyls and Synergic Bonding 1 Stereoisomerism in Coordination Compounds 5 Structural Isomerism in Coordination Compounds 3 Valence Bond Theory (VBT) in Coordination Compounds 16 Werner's Theory 4

PDFOrganic Chemistry – Some Basic Principles and Techniques37 questions · Organic Chemistry⬇

Topic-wise PDFs (18)

Acidic Strength Comparison 2 Aromaticity (Aromatic, Antiaromatic, Non-aromatic) 2 Basic Strength Comparison 2 Carbanions 3 Carbocations 3 Degree of Carbon and Degree of Functional Group (Primary, Secondary, Tertiary) 1 Electromeric Effect 1 Free Radicals 1 Hyperconjugation 3 IUPAC Nomenclature of Compounds with Functional Groups 5 IUPAC Nomenclature of Hydrocarbons 1 Inductive Effect 1 Nomenclature of Substituted Benzene Compounds 1 Resonance Effect 5 Stability and Energetics of Hydrocarbons 2 Substrate and Reagent, Nucleophiles and Electrophiles 2 Tetravalence of Carbon and Hybridisation 1 Types of Organic Reactions (Overview) 1

PDFIsomerism14 questions · Organic Chemistry⬇

Topic-wise PDFs (5)

Chiral Carbon and Basic Conditions for Optical Isomerism 4 Conformational Isomerism 1 Physical Properties of Geometrical Isomers 1 Relations Between Stereoisomers 1 Structural Isomerism 7

PDFHydrocarbons31 questions · Organic Chemistry⬇

Topic-wise PDFs (7)

Chemical Properties of Alkanes 5 Chemical Properties of Alkenes 10 Chemical Properties of Alkynes 8 Chemical Properties of Aromatic Hydrocarbons 4 Physical Properties of Alkanes 1 Preparation of Alkanes 1 Preparation of Alkynes 2

PDFHaloalkanes and Haloarenes26 questions · Organic Chemistry⬇

Topic-wise PDFs (10)

Elimination Reactions of Haloalkanes 4 Mechanism and Reactivity of SN1 and SN2 7 Nature of C–X Bond 1 Nucleophilic and Electrophilic Substitution in Haloarenes 4 Physical Properties of Haloalkanes and Haloarenes 1 Preparation of Haloalkanes 5 Preparation of Haloarenes 1 Reaction of Haloalkanes and Haloarenes with Metals 1 Stereochemistry of Nucleophilic Substitution Reactions 1 Structure and Classification of Haloalkanes and Haloarenes 1

PDFAlcohols, Phenols and Ethers18 questions · Organic Chemistry⬇

Topic-wise PDFs (9)

Chemical Reactions of Ethers 2 Classification of Alcohols, Phenols and Ethers 1 Physical Properties of Alcohols, Phenols and Ethers 1 Preparation of Alcohols 2 Preparation of Ethers 2 Preparation of Phenols 1 Reactions of Alcohols Involving Cleavage of C–O Bond 2 Reactions of Alcohols and Phenols Involving Cleavage of O–H Bond 3 Reactions of Phenols 4

PDFAldehydes, Ketones and Carboxylic Acids40 questions · Organic Chemistry⬇

Topic-wise PDFs (11)

Acidity of Carboxylic Acids 3 Aldol Condensation of Aldehydes and Ketones 10 Cannizzaro Reaction of Aldehydes 3 Nucleophilic Addition Reactions of Aldehydes and Ketones 3 Oxidation of Aldehydes and Ketones 4 Oxidation of Methyl Ketones (Haloform Reaction) 5 Preparation of Aldehydes and Ketones 1 Preparation of Carboxylic Acids 6 Reactions of Carboxylic Acids Involving Cleavage of C–OH Bond 1 Reduction of Aldehydes and Ketones 3 Substitution Reactions in the Hydrocarbon Part of Carboxylic Acids 1

PDFAmines40 questions · Organic Chemistry⬇

Topic-wise PDFs (7)

Basicity of Amines 3 Chemical Reactions of Amines 15 Chemical Reactions of Diazonium Salts, Coupling Reactions and Azo Compounds 6 Diazonium Salts: Structure, Properties and Preparation 2 Physical Properties of Amines 1 Preparation of Amines 8 Synthetic Applications of Amines and Diazonium Salts 5

PDFBiomolecules36 questions · Organic Chemistry⬇

Topic-wise PDFs (8)

Amino Acids 7 Carbohydrates: Introduction, Classification and General Properties 1 Disaccharides and Oligosaccharides 5 Monosaccharides 8 Nucleic Acids 2 Polysaccharides 2 Proteins 8 Vitamins 3

PDFPrinciples Related to Practical Chemistry56 questions · Organic Chemistry⬇

Topic-wise PDFs (6)

Chemistry Involved in Titrimetric Exercises 5 Detection of Functional Groups 4 Methods of Purification of Organic Compounds 12 Qualitative Salt Analysis of Anions 5 Qualitative Salt Analysis of Cations 9 Quantitative Analysis of Organic Compounds 21

Mathematics — chapter-wise

PDFSets4 questions · Class 11⬇

Topic-wise PDFs (3)

Cardinality Problems (n(A ∪ B) etc.) 1 Operations on Sets (Union, Intersection, Difference) 1 Subsets, Intervals and Power Set 2

PDFRelations and Functions19 questions · Class 11⬇

Topic-wise PDFs (5)

Algebra of Real Functions 1 Domain and Range of Functions 11 Logarithms and Their Properties (JEE) 2 Real Functions and Their Graphs (Identity, Constant, Polynomial, Rational, Modulus, Signum, Greatest Integer) 1 Relations: Domain, Codomain and Range 4

PDFTrigonometric Functions28 questions · Class 11⬇

Topic-wise PDFs (7)

Maximum and Minimum Values of Trigonometric Expressions 4 Multiple and Sub-multiple Angle Formulae 1 Sum and Difference Formulae 6 Transformation Formulae (Product ↔ Sum) 3 Trigonometric Equations and General Solutions 10 Trigonometric Functions of Any Angle, Signs, Domain and Range 1 Trigonometric Identities and Conditional Identities 3

PDFComplex Numbers and Quadratic Equations60 questions · Class 11⬇

Topic-wise PDFs (10)

Argand Plane and Polar Representation 1 Complex Numbers and Algebra of Complex Numbers 3 Cube Roots of Unity and De Moivre's Theorem (JEE) 5 Geometry of Complex Numbers: Loci and Rotation (JEE) 14 Modulus and Conjugate of a Complex Number 4 Nature of Roots and Discriminant 3 Polynomial Equations of Higher Degree (JEE) 1 Quadratic Equations with Real and Complex Roots 12 Quadratic Expressions, Location of Roots and Common Roots (JEE) 8 Relation between Roots and Coefficients, Formation of Equations 9

PDFPermutations and Combinations35 questions · Class 11⬇

Topic-wise PDFs (8)

Circular Permutations and Arrangements with Restrictions (JEE) 1 Combinations and Their Properties 9 Derangements and Inclusion–Exclusion (JEE) 1 Distribution Problems and Number of Divisors (JEE) 5 Factorial Notation 3 Fundamental Principle of Counting 6 Permutations when All Objects are Distinct 2 Permutations when Objects are Not All Distinct 8

PDFBinomial Theorem33 questions · Class 11⬇

Topic-wise PDFs (5)

Binomial Theorem for Positive Integral Index 1 Divisibility and Remainder Problems (JEE) 3 General Term and Middle Terms 6 Properties of Binomial Coefficients, Sum of Series (JEE) 16 Term Independent of x, Coefficient of a Particular Term 7

PDFSequences and Series51 questions · Class 11⬇

Topic-wise PDFs (7)

Arithmetic Progression and Arithmetic Mean 17 Geometric Progression and Geometric Mean 13 Infinite G.P., Exponential and Logarithmic Series (JEE) 6 Relationship between A.M. and G.M. 1 Sequences and Series: Basic Concepts 1 Sum of Series by Difference / Telescoping Method (JEE) 7 Sum to n Terms of Special Series (Σn, Σn², Σn³) 6

PDFStraight Lines26 questions · Class 11⬇

Topic-wise PDFs (6)

Angle Bisectors and Reflection of a Point (JEE) 6 Coordinate Geometry Basics: Section Formula, Area, Centres of a Triangle 8 Distance of a Point from a Line, Distance between Parallel Lines 4 Family of Lines, Concurrency 3 Slope of a Line, Angle between Two Lines 2 Various Forms of the Equation of a Line 3

PDFConic Sections92 questions · Class 11⬇

Topic-wise PDFs (10)

Circle: Standard and General Equation 8 Circle: Tangent, Normal and Chord of Contact (JEE) 9 Ellipse: Standard Equation, Eccentricity, Latus Rectum 20 Ellipse: Tangent and Normal (JEE) 4 Family of Circles and Radical Axis (JEE) 1 Hyperbola: Standard Equation, Eccentricity, Asymptotes 17 Hyperbola: Tangent and Normal (JEE) 1 Mixed Conics and Locus Problems (JEE) 13 Parabola: Standard Equation, Focus, Directrix, Latus Rectum 15 Parabola: Tangent and Normal (JEE) 4

PDFIntroduction to Three Dimensional Geometry1 questions · Class 11⬇

PDFLimits and Derivatives19 questions · Class 11⬇

Topic-wise PDFs (5)

Derivatives of Polynomial and Trigonometric Functions 1 Intuitive Idea of Limits, Algebra of Limits 1 Limits of Exponential and Logarithmic Functions 3 Limits of Trigonometric Functions 4 Limits using Series Expansions and L'Hôpital's Rule (JEE) 10

PDFStatistics21 questions · Class 11⬇

Topic-wise PDFs (3)

Mean Deviation about Mean and Median 5 Measures of Central Tendency: Mean, Median, Mode 2 Variance and Standard Deviation 14

PDFProbability12 questions · Class 11⬇

PDFRelations and Functions (Class 12)36 questions · Class 12⬇

Topic-wise PDFs (6)

Composition of Functions 2 Counting Relations and Functions (JEE) 6 Functional Equations, Even–Odd and Periodic Functions (JEE) 9 Invertible Functions and Inverse of a Function 1 Types of Functions (One-one, Onto, Bijective) 4 Types of Relations (Reflexive, Symmetric, Transitive, Equivalence) 14

PDFInverse Trigonometric Functions18 questions · Class 12⬇

Topic-wise PDFs (4)

Basic Concepts: Domain, Range and Principal Values 4 Equations Involving Inverse Trigonometric Functions 3 Properties of Inverse Trigonometric Functions 6 Sum and Difference Formulae of Inverse Trigonometric Functions 5

PDFMatrices19 questions · Class 12⬇

Topic-wise PDFs (5)

Invertible Matrices 2 Multiplication of Matrices and Its Properties 2 Powers of a Matrix and Matrix Equations (JEE) 11 Special Matrices: Idempotent, Nilpotent, Involutory, Orthogonal (JEE) 3 Transpose, Symmetric and Skew-Symmetric Matrices 1

PDFDeterminants34 questions · Class 12⬇

Topic-wise PDFs (5)

Adjoint and Inverse of a Matrix 14 Applications: Solving System of Linear Equations (Matrix Method) 1 Consistency of System of Equations, Cramer's Rule (JEE) 13 Determinant of Order 2 and 3 2 Properties of Determinants (JEE) 4

PDFContinuity and Differentiability18 questions · Class 12⬇

Topic-wise PDFs (4)

Continuity of a Function at a Point and on an Interval 11 Derivatives of Inverse Trigonometric Functions 1 Differentiability and Its Relation with Continuity 5 Second Order Derivatives 1

PDFApplication of Derivatives19 questions · Class 12⬇

Topic-wise PDFs (3)

Absolute Maxima and Minima on a Closed Interval 4 Increasing and Decreasing Functions 5 Maxima and Minima: First and Second Derivative Tests 10

PDFIntegrals51 questions · Class 12⬇

Topic-wise PDFs (10)

Definite Integral as the Limit of a Sum 1 Evaluation of Definite Integrals by Substitution 5 Fundamental Theorem of Calculus 2 Integrals of the Type ∫√(ax² + bx + c) dx 1 Integration as Inverse of Differentiation, Standard Integrals 1 Integration by Partial Fractions 1 Integration by Parts 5 Integration by Substitution 7 Properties of Definite Integrals 26 Reduction Formulae, Leibnitz Rule and Definite Integral Inequalities (JEE) 2

PDFApplication of Integrals30 questions · Class 12⬇

Topic-wise PDFs (3)

Area Bounded by Curves and Lines (Circle, Parabola, Ellipse) 5 Area between Two Curves 23 Area under Simple Curves 2

PDFDifferential Equations38 questions · Class 12⬇

Topic-wise PDFs (5)

Exact and Bernoulli's Equations (JEE) 1 General and Particular Solutions 2 Homogeneous Differential Equations 3 Linear Differential Equations 24 Variables Separable Method 8

PDFVector Algebra39 questions · Class 12⬇

Topic-wise PDFs (6)

Addition of Vectors, Multiplication by a Scalar 2 Components of a Vector, Direction Cosines 1 Scalar (Dot) Product and Projection 14 Section Formula (Position Vectors) 2 Vector (Cross) Product, Area of Triangle and Parallelogram 16 Vector Triple Product and Vector Equations (JEE) 4

PDFThree Dimensional Geometry53 questions · Class 12⬇

Topic-wise PDFs (6)

Angle between Two Lines 3 Coplanarity of Lines, Intersection of a Line and a Plane (JEE) 3 Direction Cosines and Direction Ratios of a Line 1 Distance of a Point from a Line, Foot of Perpendicular 22 Equation of a Line in Space (Vector and Cartesian Forms) 13 Shortest Distance between Two Lines (Skew Lines) 11

PDFProbability (Class 12)19 questions · Class 12⬇

Topic-wise PDFs (7)

Bayes' Theorem 7 Bernoulli Trials and Binomial Distribution (Old Syllabus) 1 Conditional Probability 1 Mean (Expectation) of a Random Variable 2 Random Variables and Probability Distributions 2 Total Probability Theorem 3 Variance of a Random Variable (Old Syllabus) 3