JEE Chapter-wise Previous Year Questions - Complete Compilation (2009-2024)

=� Overview

Welcome to the most comprehensive JEE Chapter-wise Previous Year Questions compilation featuring 15 years of complete coverage from 2009 to 2024. This meticulously organized database categorizes questions by chapters and topics across all subjects (Physics, Chemistry, Mathematics) to help students master specific concepts systematically.

<� Chapter-wise Organization Benefits

Targeted Practice System

<� Strategic Chapter-wise Practice:
- Focus on one chapter at a time
- Master concepts systematically
- Track progress by topic
- Identify weak areas precisely
- Build strong foundation chapter by chapter

=� Progressive Learning Path:
- Start with fundamental chapters
- Progress to advanced topics
- Practice mixed-difficulty questions
- Achieve complete mastery
- Build confidence systematically

Comprehensive Coverage

=� Complete Subject Organization:

Physics:
- Class 11: 16 chapters
- Class 12: 16 chapters
- Total: 32 chapters
- Questions per chapter: 50-80

Chemistry:
- Class 11: 14 chapters
- Class 12: 16 chapters
- Total: 30 chapters
- Questions per chapter: 45-75

Mathematics:
- Class 11: 16 chapters
- Class 12: 13 chapters
- Total: 29 chapters
- Questions per chapter: 60-90

=, Physics Chapter-wise Compilation

Class 11 Physics Chapters

Chapter 1: Physical World and Units

=� Chapter Overview:
- Fundamental concepts in physics
- SI units and measurements
- Dimensions and dimensional analysis
- Significant figures and errors

<� PYQ Analysis (2009-2024):
Total Questions: 65+
Difficulty Distribution:
- Easy: 40% (Basic unit conversions)
- Medium: 45% (Dimensional analysis)
- Hard: 15% (Error analysis)

Question Types:
- Multiple Choice Questions: 45
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- SI base and derived units
- Dimensional formula applications
- Significant figures rules
- Error propagation
- Precision and accuracy

Chapter 2: Motion in a Straight Line

=� Chapter Overview:
- Kinematics fundamentals
- Motion descriptions
- Velocity and acceleration
- Graphical analysis

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Graphical problems)
- Hard: 15% (Complex motion)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Distance vs displacement
- Average and instantaneous velocity
- Acceleration analysis
- Motion graphs (x-t, v-t, a-t)
- Kinematic equations
- Relative motion

Chapter 3: Motion in a Plane

=� Chapter Overview:
- Vector algebra
- Projectile motion
- Relative motion in 2D
- Circular motion basics

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 30% (Basic vectors)
- Medium: 50% (Projectile motion)
- Hard: 20% (Complex relative motion)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Vector addition and subtraction
- Resolution of vectors
- Projectile motion equations
- Relative velocity in 2D
- Uniform circular motion
- Angular velocity and acceleration

Chapter 4: Laws of Motion

=� Chapter Overview:
- Newton's laws
- Force and friction
- Dynamics applications
- Equilibrium conditions

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic laws)
- Medium: 55% (Force applications)
- Hard: 20% (Complex systems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Newton's three laws
- Free body diagrams
- Friction (static and kinetic)
- Connected body systems
- Equilibrium conditions
- Pseudo forces

Chapter 5: Work, Energy, and Power

=� Chapter Overview:
- Work-energy theorem
- Power concepts
- Energy conservation
- Collision dynamics

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex systems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Work done by forces
- Kinetic and potential energy
- Work-energy theorem
- Power calculations
- Energy conservation
- Elastic and inelastic collisions

Chapter 6: System of Particles and Rotational Motion

=� Chapter Overview:
- Center of mass
- Rotational dynamics
- Moment of inertia
- Angular momentum

<� PYQ Analysis (2009-2024):
Total Questions: 92+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 25% (Complex rotational systems)

Question Types:
- Multiple Choice Questions: 65
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Center of mass calculations
- Moment of inertia
- Torque and angular acceleration
- Angular momentum conservation
- Rotational kinetic energy
- Combined translational and rotational motion

Chapter 7: Gravitation

=� Chapter Overview:
- Universal gravitation
- Orbital mechanics
- Satellite motion
- Escape velocity

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Orbital problems)
- Hard: 15% (Complex gravitational systems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Newton's law of gravitation
- Gravitational field and potential
- Orbital velocity and period
- Escape velocity
- Satellite motion
- Kepler's laws

Chapter 8: Mechanical Properties of Solids

=� Chapter Overview:
- Elasticity concepts
- Stress and strain
- Young's modulus
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 62+
Difficulty Distribution:
- Easy: 40% (Basic concepts)
- Medium: 45% (Applications)
- Hard: 15% (Complex problems)

Question Types:
- Multiple Choice Questions: 44
- Integer Type: 13
- Paragraph Questions: 5

Key Topics Covered:
- Stress and strain
- Hooke's law
- Young's modulus
- Bulk modulus
- Shear modulus
- Elastic potential energy

Chapter 9: Mechanical Properties of Fluids

=� Chapter Overview:
- Fluid pressure
- Buoyancy and flotation
- Fluid dynamics
- Viscosity and surface tension

<� PYQ Analysis (2009-2024):
Total Questions: 70+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 15% (Complex fluid systems)

Question Types:
- Multiple Choice Questions: 50
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Pressure in fluids
- Pascal's law
- Archimedes' principle
- Bernoulli's equation
- Viscosity
- Surface tension

Chapter 10: Thermal Properties of Matter

=� Chapter Overview:
- Heat and temperature
- Thermal expansion
- Specific heat capacity
- Heat transfer

<� PYQ Analysis (2009-2024):
Total Questions: 68+
Difficulty Distribution:
- Easy: 40% (Basic concepts)
- Medium: 45% (Applications)
- Hard: 15% (Complex heat problems)

Question Types:
- Multiple Choice Questions: 48
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Temperature scales
- Thermal expansion
- Specific heat capacities
- Calorimetry
- Heat transfer mechanisms
- Newton's law of cooling

Chapter 11: Thermodynamics

=� Chapter Overview:
- Laws of thermodynamics
- Thermodynamic processes
- Heat engines
- Entropy concepts

<� PYQ Analysis (2009-2024):
Total Questions: 80+
Difficulty Distribution:
- Easy: 25% (Basic laws)
- Medium: 55% (Process applications)
- Hard: 20% (Complex cycles)

Question Types:
- Multiple Choice Questions: 57
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Zeroth and first laws
- Thermodynamic processes
- Work done by gases
- Heat engines
- Second law of thermodynamics
- Entropy

Chapter 12: Kinetic Theory of Gases

=� Chapter Overview:
- Molecular theory of gases
- Gas laws
- Kinetic energy
- Real gas behavior

<� PYQ Analysis (2009-2024):
Total Questions: 65+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 15% (Complex gas problems)

Question Types:
- Multiple Choice Questions: 46
- Integer Type: 14
- Paragraph Questions: 5

Key Topics Covered:
- Kinetic theory assumptions
- Pressure of gases
- Kinetic energy
- Gas laws
- Degrees of freedom
- Specific heat capacities

Chapter 13: Oscillations

=� Chapter Overview:
- Simple harmonic motion
- Oscillatory systems
- Energy in SHM
- Damped and forced oscillations

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 30% (Basic SHM)
- Medium: 50% (Applications)
- Hard: 20% (Complex oscillatory systems)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Simple harmonic motion
- Energy in SHM
- Spring-mass systems
- Pendulum motion
- Damped oscillations
- Forced oscillations and resonance

Chapter 14: Waves

=� Chapter Overview:
- Wave motion
- Sound waves
- Wave phenomena
- Doppler effect

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 30% (Basic wave concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex wave phenomena)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Wave equation
- Types of waves
- Sound waves
- Superposition principle
- Standing waves
- Doppler effect
- Beats

Chapter 15: Ray Optics and Optical Instruments

=� Chapter Overview:
- Reflection and refraction
- Lenses and mirrors
- Optical instruments
- Wave optics introduction

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Applications)
- Hard: 20% (Complex optical systems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Reflection of light
- Refraction of light
- Lenses and mirrors
- Optical instruments
- Total internal reflection
- Prism and dispersion

Chapter 16: Wave Optics

=� Chapter Overview:
- Interference
- Diffraction
- Polarization
- Modern optics

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex wave optics)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Wave nature of light
- Interference
- Diffraction
- Polarization
- Young's double slit
- Single slit diffraction

Class 12 Physics Chapters

Chapter 1: Electric Charges and Fields

=� Chapter Overview:
- Electric charges
- Coulomb's law
- Electric field
- Electric flux

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Field calculations)
- Hard: 20% (Complex charge distributions)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Electric charges
- Coulomb's law
- Electric field
- Electric dipole
- Electric flux
- Gauss's law

Chapter 2: Electrostatic Potential and Capacitance

=� Chapter Overview:
- Electric potential
- Potential energy
- Capacitors
- Dielectric materials

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex capacitor networks)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Electric potential
- Potential energy
- Equipotential surfaces
- Capacitors
- Dielectric materials
- Combination of capacitors

Chapter 3: Current Electricity

=� Chapter Overview:
- Electric current
- Ohm's law
- Electrical circuits
- Kirchhoff's laws

<� PYQ Analysis (2009-2024):
Total Questions: 92+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Circuit analysis)
- Hard: 20% (Complex networks)

Question Types:
- Multiple Choice Questions: 65
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Electric current
- Ohm's law
- Resistance and resistivity
- Electrical circuits
- Kirchhoff's laws
- Wheatstone bridge

Chapter 4: Moving Charges and Magnetism

=� Chapter Overview:
- Magnetic field
- Force on moving charges
- Ampere's law
- Magnetic materials

<� PYQ Analysis (2009-2024):
Total Questions: 90+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Field calculations)
- Hard: 20% (Complex magnetic systems)

Question Types:
- Multiple Choice Questions: 63
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Magnetic field
- Force on moving charges
- Biot-Savart law
- Ampere's law
- Magnetic materials
- Earth's magnetism

Chapter 5: Magnetism and Matter

=� Chapter Overview:
- Magnetic properties
- Magnetic materials
- Earth's magnetism
- Magnetic instruments

<� PYQ Analysis (2009-2024):
Total Questions: 70+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 15% (Complex magnetic phenomena)

Question Types:
- Multiple Choice Questions: 50
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Magnetic properties
- Magnetic materials
- Earth's magnetism
- Magnetic instruments
- Hysteresis
- Magnetic permeability

Chapter 6: Electromagnetic Induction

=� Chapter Overview:
- Faraday's laws
- Lenz's law
- Self and mutual induction
- AC generators

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic laws)
- Medium: 55% (Applications)
- Hard: 20% (Complex induction problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Faraday's laws
- Lenz's law
- Self induction
- Mutual induction
- AC generators
- Eddy currents

Chapter 7: Alternating Current

=� Chapter Overview:
- AC fundamentals
- AC circuits
- Power in AC
- Transformers

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 30% (Basic AC concepts)
- Medium: 50% (AC circuits)
- Hard: 20% (Complex AC systems)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- AC fundamentals
- AC circuits
- Power in AC circuits
- Transformers
- Resonance
- Quality factor

Chapter 8: Electromagnetic Waves

=� Chapter Overview:
- EM waves spectrum
- EM wave properties
- Communication systems
- Modern applications

<� PYQ Analysis (2009-2024):
Total Questions: 65+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 15% (Complex EM phenomena)

Question Types:
- Multiple Choice Questions: 46
- Integer Type: 14
- Paragraph Questions: 5

Key Topics Covered:
- EM waves spectrum
- EM wave properties
- Communication systems
- Modulation
- Antennas
- Modern applications

Chapter 9: Ray Optics and Optical Instruments

=� Chapter Overview:
- Advanced ray optics
- Optical instruments
- Aberrations
- Modern optics

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex optical systems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Advanced ray optics
- Optical instruments
- Aberrations
- Modern optics
- Lasers
- Fiber optics

Chapter 10: Wave Optics

=� Chapter Overview:
- Advanced wave optics
- Interference phenomena
- Diffraction patterns
- Polarization applications

<� PYQ Analysis (2009-2024):
Total Questions: 72+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex wave phenomena)

Question Types:
- Multiple Choice Questions: 52
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Advanced wave optics
- Interference phenomena
- Diffraction patterns
- Polarization applications
- Thin film interference
- Diffraction grating

Chapter 11: Dual Nature of Radiation and Matter

=� Chapter Overview:
- Photoelectric effect
- Matter waves
- De Broglie hypothesis
- Heisenberg principle

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Applications)
- Hard: 20% (Complex quantum phenomena)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Photoelectric effect
- Matter waves
- De Broglie hypothesis
- Heisenberg principle
- Davisson-Germer experiment
- Electron microscope

Chapter 12: Atoms

=� Chapter Overview:
- Atomic structure
- Bohr's model
- Atomic spectra
- Quantum numbers

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex atomic phenomena)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Atomic structure
- Bohr's model
- Atomic spectra
- Quantum numbers
- Energy levels
- Spectral series

Chapter 13: Nuclei

=� Chapter Overview:
- Nuclear structure
- Radioactivity
- Nuclear reactions
- Nuclear energy

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Applications)
- Hard: 20% (Complex nuclear phenomena)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Nuclear structure
- Radioactivity
- Nuclear reactions
- Nuclear energy
- Nuclear fission
- Nuclear fusion

Chapter 14: Semiconductor Electronics

=� Chapter Overview:
- Semiconductor basics
- Diodes and transistors
- Digital electronics
- Logic gates

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex circuits)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Semiconductor basics
- Diodes and transistors
- Digital electronics
- Logic gates
- Amplifiers
- Oscillators

Chapter 15: Communication Systems

=� Chapter Overview:
- Communication fundamentals
- Modulation techniques
- Transmission media
- Modern communication

<� PYQ Analysis (2009-2024):
Total Questions: 65+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 15% (Complex communication systems)

Question Types:
- Multiple Choice Questions: 46
- Integer Type: 14
- Paragraph Questions: 5

Key Topics Covered:
- Communication fundamentals
- Modulation techniques
- Transmission media
- Modern communication
- Satellite communication
- Optical communication

Chapter 16: Modern Physics

=� Chapter Overview:
- Special relativity
- Quantum mechanics
- Particle physics
- Cosmology

<� PYQ Analysis (2009-2024):
Total Questions: 60+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 20% (Complex modern physics)

Question Types:
- Multiple Choice Questions: 42
- Integer Type: 13
- Paragraph Questions: 5

Key Topics Covered:
- Special relativity
- Quantum mechanics
- Particle physics
- Cosmology
- Elementary particles
- Fundamental forces

>� Chemistry Chapter-wise Compilation

Class 11 Chemistry Chapters

Chapter 1: Some Basic Concepts of Chemistry

=� Chapter Overview:
- Matter and its classification
- Laws of chemical combination
- Atomic and molecular masses
- Mole concept

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 40% (Basic concepts)
- Medium: 45% (Stoichiometry)
- Hard: 15% (Complex calculations)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Matter classification
- Laws of chemical combination
- Atomic and molecular masses
- Mole concept
- Stoichiometry
- Concentration terms

Chapter 2: Structure of Atom

=� Chapter Overview:
- Atomic structure
- Quantum mechanics
- Electronic configuration
- Periodic properties

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Quantum numbers)
- Hard: 20% (Complex atomic problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Atomic structure
- Quantum mechanics
- Electronic configuration
- Periodic properties
- Quantum numbers
- Atomic orbitals

Chapter 3: Classification of Elements and Periodicity in Properties

=� Chapter Overview:
- Periodic classification
- Periodic trends
- Electronic configuration
- Chemical periodicity

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Periodic trends)
- Hard: 15% (Complex periodicity)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Periodic classification
- Periodic trends
- Electronic configuration
- Chemical periodicity
- Atomic radius
- Ionization energy

Chapter 4: Chemical Bonding and Molecular Structure

=� Chapter Overview:
- Chemical bonds
- Molecular structure
- VSEPR theory
- Molecular orbital theory

<� PYQ Analysis (2009-2024):
Total Questions: 92+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Bonding theories)
- Hard: 20% (Complex molecular problems)

Question Types:
- Multiple Choice Questions: 65
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Chemical bonds
- Molecular structure
- VSEPR theory
- Molecular orbital theory
- Hybridization
- Hydrogen bonding

Chapter 5: States of Matter

=� Chapter Overview:
- Gaseous state
- Liquid state
- Solid state
- State changes

<� PYQ Analysis (2009-2024):
Total Questions: 80+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Gas laws)
- Hard: 20% (Complex state problems)

Question Types:
- Multiple Choice Questions: 57
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Gaseous state
- Liquid state
- Solid state
- Gas laws
- Kinetic theory
- State changes

Chapter 6: Thermodynamics

=� Chapter Overview:
- Basic concepts
- First law of thermodynamics
- Second law of thermodynamics
- Free energy

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Laws of thermodynamics)
- Hard: 20% (Complex thermodynamic problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Basic concepts
- First law of thermodynamics
- Second law of thermodynamics
- Free energy
- Enthalpy
- Entropy

Chapter 7: Equilibrium

=� Chapter Overview:
- Chemical equilibrium
- Ionic equilibrium
- Acid-base equilibrium
- Solubility equilibrium

<� PYQ Analysis (2009-2024):
Total Questions: 90+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Equilibrium calculations)
- Hard: 20% (Complex equilibrium problems)

Question Types:
- Multiple Choice Questions: 63
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Chemical equilibrium
- Ionic equilibrium
- Acid-base equilibrium
- Solubility equilibrium
- Equilibrium constant
- Le Chatelier's principle

Chapter 8: Redox Reactions

=� Chapter Overview:
- Redox concepts
- Balancing redox reactions
- Electrochemical cells
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Balancing techniques)
- Hard: 15% (Complex redox problems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Redox concepts
- Balancing redox reactions
- Electrochemical cells
- Oxidation states
- Redox titrations
- Applications

Chapter 9: Hydrogen

=� Chapter Overview:
- Hydrogen and its compounds
- Water and heavy water
- Hydrogen economy
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 65+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Properties and applications)
- Hard: 15% (Complex hydrogen problems)

Question Types:
- Multiple Choice Questions: 46
- Integer Type: 14
- Paragraph Questions: 5

Key Topics Covered:
- Hydrogen and its compounds
- Water and heavy water
- Hydrogen economy
- Isotopes of hydrogen
- Hydrogen bonding
- Applications

Chapter 10: The s-Block Elements

=� Chapter Overview:
- Group 1 elements
- Group 2 elements
- Compounds of s-block elements
- Biological importance

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Properties and reactions)
- Hard: 15% (Complex s-block problems)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Group 1 elements
- Group 2 elements
- Compounds of s-block elements
- Biological importance
- Trends in properties
- Important reactions

Chapter 11: The p-Block Elements

=� Chapter Overview:
- Group 13 elements
- Group 14 elements
- Group 15 elements
- Group 16, 17, 18 elements

<� PYQ Analysis (2009-2024):
Total Questions: 95+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Properties and reactions)
- Hard: 20% (Complex p-block problems)

Question Types:
- Multiple Choice Questions: 67
- Integer Type: 23
- Paragraph Questions: 5

Key Topics Covered:
- Group 13 elements
- Group 14 elements
- Group 15 elements
- Group 16, 17, 18 elements
- Trends in properties
- Important compounds

Chapter 12: Organic Chemistry - Basic Principles and Techniques

=� Chapter Overview:
- Basic concepts
- Structural isomerism
- Nomenclature
- Basic reactions

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Nomenclature and isomerism)
- Hard: 20% (Complex organic problems)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Basic concepts
- Structural isomerism
- Nomenclature
- Basic reactions
- Functional groups
- Reaction mechanisms

Chapter 13: Hydrocarbons

=� Chapter Overview:
- Alkanes
- Alkenes
- Alkynes
- Aromatic hydrocarbons

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Reactions and mechanisms)
- Hard: 20% (Complex hydrocarbon problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Alkanes
- Alkenes
- Alkynes
- Aromatic hydrocarbons
- Reaction mechanisms
- Isomerism

Chapter 14: Environmental Chemistry

=� Chapter Overview:
- Environmental pollution
- Air pollution
- Water pollution
- Soil pollution

<� PYQ Analysis (2009-2024):
Total Questions: 70+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Pollution types and effects)
- Hard: 15% (Complex environmental problems)

Question Types:
- Multiple Choice Questions: 50
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Environmental pollution
- Air pollution
- Water pollution
- Soil pollution
- Green chemistry
- Pollution control

Class 12 Chemistry Chapters

Chapter 1: Solid State

=� Chapter Overview:
- Crystal structures
- Crystal defects
- Electrical properties
- Magnetic properties

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Crystal structures)
- Hard: 20% (Complex solid state problems)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Crystal structures
- Crystal defects
- Electrical properties
- Magnetic properties
- Unit cells
- Packing efficiency

Chapter 2: Solutions

=� Chapter Overview:
- Types of solutions
- Concentration units
- Colligative properties
- Non-ideal solutions

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Colligative properties)
- Hard: 20% (Complex solution problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Types of solutions
- Concentration units
- Colligative properties
- Non-ideal solutions
- Raoult's law
- Elevation in boiling point

Chapter 3: Electrochemistry

=� Chapter Overview:
- Electrochemical cells
- Conductance
- Electrolysis
- Batteries

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Electrochemical calculations)
- Hard: 20% (Complex electrochemical problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Electrochemical cells
- Conductance
- Electrolysis
- Batteries
- Nernst equation
- Electrochemical series

Chapter 4: Chemical Kinetics

=� Chapter Overview:
- Rate of reactions
- Rate laws
- Reaction mechanisms
- Catalysis

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Rate laws and mechanisms)
- Hard: 20% (Complex kinetic problems)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Rate of reactions
- Rate laws
- Reaction mechanisms
- Catalysis
- Order of reactions
- Temperature effect

Chapter 5: Surface Chemistry

=� Chapter Overview:
- Adsorption
- Catalysis
- Colloids
- Emulsions

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Adsorption and colloids)
- Hard: 20% (Complex surface chemistry)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Adsorption
- Catalysis
- Colloids
- Emulsions
- Types of colloids
- Properties of colloids

Chapter 6: General Principles and Processes of Isolation of Elements

=� Chapter Overview:
- Occurrence of elements
- Metallurgy
- Extraction methods
- Refining processes

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Extraction methods)
- Hard: 20% (Complex metallurgical problems)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Occurrence of elements
- Metallurgy
- Extraction methods
- Refining processes
- Thermodynamic principles
- Electrochemical principles

Chapter 7: The p-Block Elements

=� Chapter Overview:
- Group 15 elements
- Group 16 elements
- Group 17 elements
- Group 18 elements

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Properties and compounds)
- Hard: 20% (Complex p-block problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Group 15 elements
- Group 16 elements
- Group 17 elements
- Group 18 elements
- Important compounds
- Trends in properties

Chapter 8: The d- and f-Block Elements

=� Chapter Overview:
- d-block elements
- f-block elements
- Coordination compounds
- Metallurgy

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Coordination chemistry)
- Hard: 20% (Complex d/f-block problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- d-block elements
- f-block elements
- Coordination compounds
- Metallurgy
- Electronic configurations
- Coordination number

Chapter 9: Coordination Compounds

=� Chapter Overview:
- Coordination compounds
- Bonding theories
- Isomerism
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 92+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Bonding and isomerism)
- Hard: 20% (Complex coordination problems)

Question Types:
- Multiple Choice Questions: 65
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Coordination compounds
- Bonding theories
- Isomerism
- Applications
- Nomenclature
- Stability constants

Chapter 10: Haloalkanes and Haloarenes

=� Chapter Overview:
- Haloalkanes
- Haloarenes
- Reaction mechanisms
- Synthetic applications

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Reactions and mechanisms)
- Hard: 20% (Complex halo compound problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Haloalkanes
- Haloarenes
- Reaction mechanisms
- Synthetic applications
- Nomenclature
- Physical properties

Chapter 11: Alcohols, Phenols and Ethers

=� Chapter Overview:
- Alcohols
- Phenols
- Ethers
- Reaction mechanisms

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Reactions and mechanisms)
- Hard: 20% (Complex oxygen compound problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Alcohols
- Phenols
- Ethers
- Reaction mechanisms
- Nomenclature
- Physical properties

Chapter 12: Aldehydes, Ketones and Carboxylic Acids

=� Chapter Overview:
- Aldehydes
- Ketones
- Carboxylic acids
- Reaction mechanisms

<� PYQ Analysis (2009-2024):
Total Questions: 92+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Reactions and mechanisms)
- Hard: 20% (Complex carbonyl compound problems)

Question Types:
- Multiple Choice Questions: 65
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Aldehydes
- Ketones
- Carboxylic acids
- Reaction mechanisms
- Nomenclature
- Physical properties

Chapter 13: Amines

=� Chapter Overview:
- Amines
- Diazonium salts
- Reaction mechanisms
- Synthetic applications

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Reactions and mechanisms)
- Hard: 20% (Complex nitrogen compound problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Amines
- Diazonium salts
- Reaction mechanisms
- Synthetic applications
- Nomenclature
- Physical properties

Chapter 14: Biomolecules

=� Chapter Overview:
- Carbohydrates
- Proteins
- Vitamins
- Nucleic acids

<� PYQ Analysis (2009-2024):
Total Questions: 80+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 50% (Structure and functions)
- Hard: 20% (Complex biomolecule problems)

Question Types:
- Multiple Choice Questions: 57
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Carbohydrates
- Proteins
- Vitamins
- Nucleic acids
- Biomolecular structures
- Biological functions

Chapter 15: Polymers

=� Chapter Overview:
- Polymerization
- Types of polymers
- Polymer properties
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Types and properties)
- Hard: 15% (Complex polymer problems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Polymerization
- Types of polymers
- Polymer properties
- Applications
- Polymer structures
- Commercial polymers

Chapter 16: Chemistry in Everyday Life

=� Chapter Overview:
- Drugs and medicines
- Food additives
- Cleansing agents
- Chemicals in daily use

<� PYQ Analysis (2009-2024):
Total Questions: 70+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Applications and effects)
- Hard: 15% (Complex everyday chemistry)

Question Types:
- Multiple Choice Questions: 50
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Drugs and medicines
- Food additives
- Cleansing agents
- Chemicals in daily use
- Classification of drugs
- Side effects

=� Mathematics Chapter-wise Compilation

Class 11 Mathematics Chapters

Chapter 1: Sets

=� Chapter Overview:
- Sets and their representations
- Subsets
- Power sets
- Set operations

<� PYQ Analysis (2009-2024):
Total Questions: 68+
Difficulty Distribution:
- Easy: 40% (Basic concepts)
- Medium: 45% (Set operations)
- Hard: 15% (Complex set problems)

Question Types:
- Multiple Choice Questions: 48
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Sets and their representations
- Subsets
- Power sets
- Set operations
- Venn diagrams
- Cardinality

Chapter 2: Relations and Functions

=� Chapter Overview:
- Cartesian product
- Relations
- Functions
- Types of functions

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Function types)
- Hard: 15% (Complex function problems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Cartesian product
- Relations
- Functions
- Types of functions
- Domain and range
- Composition of functions

Chapter 3: Trigonometric Functions

=� Chapter Overview:
- Angles and their measures
- Trigonometric functions
- Trigonometric identities
- Trigonometric equations

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Identities and equations)
- Hard: 20% (Complex trigonometric problems)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Angles and their measures
- Trigonometric functions
- Trigonometric identities
- Trigonometric equations
- Graphs of trigonometric functions
- Properties of triangles

Chapter 4: Principle of Mathematical Induction

=� Chapter Overview:
- Mathematical induction
- Applications
- Problem solving

<� PYQ Analysis (2009-2024):
Total Questions: 65+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Applications)
- Hard: 15% (Complex induction problems)

Question Types:
- Multiple Choice Questions: 46
- Integer Type: 14
- Paragraph Questions: 5

Key Topics Covered:
- Mathematical induction
- Applications
- Problem solving
- Induction proofs
- Mathematical reasoning

Chapter 5: Complex Numbers and Quadratic Equations

=� Chapter Overview:
- Complex numbers
- Algebra of complex numbers
- Quadratic equations
- Roots of equations

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Complex number operations)
- Hard: 20% (Complex equations)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Complex numbers
- Algebra of complex numbers
- Quadratic equations
- Roots of equations
- Argand plane
- De Moivre's theorem

Chapter 6: Linear Inequalities

=� Chapter Overview:
- Linear inequalities
- Solving inequalities
- Graphical representation
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 70+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Solving techniques)
- Hard: 15% (Complex inequality problems)

Question Types:
- Multiple Choice Questions: 50
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Linear inequalities
- Solving inequalities
- Graphical representation
- Applications
- Systems of inequalities
- Word problems

Chapter 7: Permutation and Combination

=� Chapter Overview:
- Fundamental principle of counting
- Permutations
- Combinations
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Permutation and combination problems)
- Hard: 20% (Complex counting problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Fundamental principle of counting
- Permutations
- Combinations
- Applications
- Circular permutations
- Distribution problems

Chapter 8: Binomial Theorem

=� Chapter Overview:
- Binomial theorem
- General and middle terms
- Applications
- Properties

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Applications)
- Hard: 15% (Complex binomial problems)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Binomial theorem
- General and middle terms
- Applications
- Properties
- Binomial coefficients
- Approximation

Chapter 9: Sequences and Series

=� Chapter Overview:
- Sequences
- Arithmetic progression
- Geometric progression
- Series

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Progression problems)
- Hard: 20% (Complex series problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Sequences
- Arithmetic progression
- Geometric progression
- Series
- Special series
- Means

Chapter 10: Straight Lines

=� Chapter Overview:
- Slope of a line
- Various forms of lines
- Angle between lines
- Distance of a point from a line

<� PYQ Analysis (2009-2024):
Total Questions: 92+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Line equations and properties)
- Hard: 20% (Complex geometry problems)

Question Types:
- Multiple Choice Questions: 65
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Slope of a line
- Various forms of lines
- Angle between lines
- Distance of a point from a line
- Family of lines
- Locus

Chapter 11: Conic Sections

=� Chapter Overview:
- Circle
- Parabola
- Ellipse
- Hyperbola

<� PYQ Analysis (2009-2024):
Total Questions: 95+
Difficulty Distribution:
- Easy: 20% (Basic concepts)
- Medium: 60% (Conic properties and equations)
- Hard: 20% (Complex conic problems)

Question Types:
- Multiple Choice Questions: 67
- Integer Type: 23
- Paragraph Questions: 5

Key Topics Covered:
- Circle
- Parabola
- Ellipse
- Hyperbola
- Standard forms
- Properties of conics

Chapter 12: Introduction to Three Dimensional Geometry

=� Chapter Overview:
- Coordinate system in 3D
- Distance between points
- Section formula
- Direction cosines and ratios

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (3D geometry problems)
- Hard: 15% (Complex spatial problems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Coordinate system in 3D
- Distance between points
- Section formula
- Direction cosines and ratios
- Planes
- Lines in 3D

Chapter 13: Limits and Derivatives

=� Chapter Overview:
- Limits
- Derivatives
- Basic differentiation
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Differentiation techniques)
- Hard: 20% (Complex limit and derivative problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Limits
- Derivatives
- Basic differentiation
- Applications
- L'H�pital's rule
- Differentiation rules

Chapter 14: Mathematical Reasoning

=� Chapter Overview:
- Statements
- Logical operations
- Conditional statements
- Valid arguments

<� PYQ Analysis (2009-2024):
Total Questions: 65+
Difficulty Distribution:
- Easy: 35% (Basic concepts)
- Medium: 50% (Logical operations)
- Hard: 15% (Complex reasoning problems)

Question Types:
- Multiple Choice Questions: 46
- Integer Type: 14
- Paragraph Questions: 5

Key Topics Covered:
- Statements
- Logical operations
- Conditional statements
- Valid arguments
- Truth tables
- Logical equivalence

Chapter 15: Statistics

=� Chapter Overview:
- Measures of central tendency
- Measures of dispersion
- Probability basics
- Data analysis

<� PYQ Analysis (2009-2024):
Total Questions: 72+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Statistical calculations)
- Hard: 15% (Complex statistical problems)

Question Types:
- Multiple Choice Questions: 52
- Integer Type: 15
- Paragraph Questions: 5

Key Topics Covered:
- Measures of central tendency
- Measures of dispersion
- Probability basics
- Data analysis
- Mean, median, mode
- Standard deviation

Chapter 16: Probability

=� Chapter Overview:
- Probability basics
- Conditional probability
- Bayes' theorem
- Random variables

<� PYQ Analysis (2009-2024):
Total Questions: 78+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Probability calculations)
- Hard: 20% (Complex probability problems)

Question Types:
- Multiple Choice Questions: 55
- Integer Type: 18
- Paragraph Questions: 5

Key Topics Covered:
- Probability basics
- Conditional probability
- Bayes' theorem
- Random variables
- Independent events
- Bernoulli trials

Class 12 Mathematics Chapters

Chapter 1: Relations and Functions

=� Chapter Overview:
- Types of relations
- Types of functions
- Composition of functions
- Invertible functions

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Function operations)
- Hard: 20% (Complex function problems)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Types of relations
- Types of functions
- Composition of functions
- Invertible functions
- Binary operations
- Special functions

Chapter 2: Inverse Trigonometric Functions

=� Chapter Overview:
- Basic concepts
- Properties
- Equations
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Properties and equations)
- Hard: 15% (Complex inverse trig problems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Basic concepts
- Properties
- Equations
- Applications
- Principal values
- Identities

Chapter 3: Matrices

=� Chapter Overview:
- Matrix operations
- Types of matrices
- Determinants
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Matrix operations)
- Hard: 20% (Complex matrix problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Matrix operations
- Types of matrices
- Determinants
- Applications
- Inverse of matrices
- Matrix equations

Chapter 4: Determinants

=� Chapter Overview:
- Determinant properties
- Adjoint and inverse
- Applications
- System of equations

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Determinant operations)
- Hard: 20% (Complex determinant problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Determinant properties
- Adjoint and inverse
- Applications
- System of equations
- Cramer's rule
- Matrix methods

Chapter 5: Continuity and Differentiability

=� Chapter Overview:
- Continuity
- Differentiability
- Differentiation
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 92+
Difficulty Distribution:
- Easy: 20% (Basic concepts)
- Medium: 60% (Differentiation techniques)
- Hard: 20% (Complex calculus problems)

Question Types:
- Multiple Choice Questions: 65
- Integer Type: 22
- Paragraph Questions: 5

Key Topics Covered:
- Continuity
- Differentiability
- Differentiation
- Applications
- Chain rule
- Implicit differentiation

Chapter 6: Application of Derivatives

=� Chapter Overview:
- Rate of change
- Increasing and decreasing functions
- Maxima and minima
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 95+
Difficulty Distribution:
- Easy: 20% (Basic concepts)
- Medium: 60% (Application problems)
- Hard: 20% (Complex optimization problems)

Question Types:
- Multiple Choice Questions: 67
- Integer Type: 23
- Paragraph Questions: 5

Key Topics Covered:
- Rate of change
- Increasing and decreasing functions
- Maxima and minima
- Applications
- Optimization problems
- Tangents and normals

Chapter 7: Integrals

=� Chapter Overview:
- Indefinite integrals
- Definite integrals
- Integration methods
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 98+
Difficulty Distribution:
- Easy: 20% (Basic concepts)
- Medium: 60% (Integration techniques)
- Hard: 20% (Complex integration problems)

Question Types:
- Multiple Choice Questions: 69
- Integer Type: 24
- Paragraph Questions: 5

Key Topics Covered:
- Indefinite integrals
- Definite integrals
- Integration methods
- Applications
- Integration by parts
- Substitution methods

Chapter 8: Application of Integrals

=� Chapter Overview:
- Area under curves
- Area between curves
- Volume of revolution
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Area calculations)
- Hard: 20% (Complex application problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Area under curves
- Area between curves
- Volume of revolution
- Applications
- Parametric curves
- Polar curves

Chapter 9: Differential Equations

=� Chapter Overview:
- Basic concepts
- Formation of differential equations
- Solutions of differential equations
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Solution methods)
- Hard: 20% (Complex differential equations)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Basic concepts
- Formation of differential equations
- Solutions of differential equations
- Applications
- Linear differential equations
- Homogeneous equations

Chapter 10: Vector Algebra

=� Chapter Overview:
- Vectors and scalars
- Vector operations
- Scalar and vector products
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 82+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Vector operations)
- Hard: 20% (Complex vector problems)

Question Types:
- Multiple Choice Questions: 58
- Integer Type: 19
- Paragraph Questions: 5

Key Topics Covered:
- Vectors and scalars
- Vector operations
- Scalar and vector products
- Applications
- Triple products
- Vector geometry

Chapter 11: Three Dimensional Geometry

=� Chapter Overview:
- Direction cosines and ratios
- Lines in 3D
- Planes
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 88+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (3D geometry problems)
- Hard: 20% (Complex spatial problems)

Question Types:
- Multiple Choice Questions: 62
- Integer Type: 21
- Paragraph Questions: 5

Key Topics Covered:
- Direction cosines and ratios
- Lines in 3D
- Planes
- Applications
- Angle between lines and planes
- Distance formulas

Chapter 12: Linear Programming

=� Chapter Overview:
- Linear programming problems
- Graphical method
- Simplex method
- Applications

<� PYQ Analysis (2009-2024):
Total Questions: 75+
Difficulty Distribution:
- Easy: 30% (Basic concepts)
- Medium: 55% (Linear programming problems)
- Hard: 15% (Complex optimization problems)

Question Types:
- Multiple Choice Questions: 53
- Integer Type: 17
- Paragraph Questions: 5

Key Topics Covered:
- Linear programming problems
- Graphical method
- Simplex method
- Applications
- Feasible region
- Optimal solution

Chapter 13: Probability

=� Chapter Overview:
- Conditional probability
- Bayes' theorem
- Random variables
- Probability distributions

<� PYQ Analysis (2009-2024):
Total Questions: 85+
Difficulty Distribution:
- Easy: 25% (Basic concepts)
- Medium: 55% (Probability calculations)
- Hard: 20% (Complex probability problems)

Question Types:
- Multiple Choice Questions: 60
- Integer Type: 20
- Paragraph Questions: 5

Key Topics Covered:
- Conditional probability
- Bayes' theorem
- Random variables
- Probability distributions
- Binomial distribution
- Expected value

<� Strategic Chapter-wise Preparation

Subject-wise Strategy

=, Physics Strategy:
1. Mechanics First (Chapters 1-6)
   - Build strong foundation
   - Master kinematics and dynamics
   - Practice numerical problems

2. Electromagnetism Next (Chapters 7-12)
   - Focus on conceptual understanding
   - Practice circuit problems
   - Master electromagnetic induction

3. Modern Physics Last (Chapters 13-16)
   - Memorize key concepts
   - Practice numerical problems
   - Focus on applications

>� Chemistry Strategy:
1. Physical Chemistry Priority (Chapters 1-6)
   - Master numerical techniques
   - Focus on concepts
   - Practice calculations

2. Organic Chemistry Next (Chapters 12-13)
   - Understand reaction mechanisms
   - Practice synthesis problems
   - Memorize important reactions

3. Inorganic Chemistry Last (Chapters 7-11)
   - Focus on periodic trends
   - Memorize important compounds
   - Practice chemical equations

=� Mathematics Strategy:
1. Calculus Priority (Chapters 5-9)
   - Master differentiation and integration
   - Practice application problems
   - Focus on problem-solving techniques

2. Algebra Next (Chapters 2-4, 8)
   - Master algebraic manipulations
   - Practice complex problems
   - Focus on mathematical reasoning

3. Geometry Last (Chapters 10-12)
   - Master coordinate geometry
   - Practice 3D visualization
   - Focus on problem-solving approach

Chapter-wise Study Plan

=� 6-Month Chapter-wise Schedule:

Month 1: Foundation Chapters
Physics: Chapters 1-6 (Mechanics)
Chemistry: Chapters 1-6 (Physical Chemistry)
Mathematics: Chapters 1-4 (Basic Algebra and Functions)

Month 2: Core Concepts
Physics: Chapters 7-12 (Electromagnetism)
Chemistry: Chapters 7-11 (Inorganic Chemistry)
Mathematics: Chapters 5-7 (Advanced Algebra and Calculus)

Month 3: Advanced Topics
Physics: Chapters 13-16 (Modern Physics)
Chemistry: Chapters 12-13 (Organic Chemistry)
Mathematics: Chapters 8-9 (Sequences and Calculus)

Month 4: Applications and Practice
Physics: Revision and problem-solving
Chemistry: Reactions and mechanisms
Mathematics: Integration and differential equations

Month 5: Comprehensive Revision
All Subjects: Complete syllabus revision
Focus: Weak areas and practice
Mock tests and analysis

Month 6: Final Preparation
All Subjects: Exam-focused preparation
Focus: Speed and accuracy
Full-length mock tests

 Conclusion

This comprehensive JEE Chapter-wise Previous Year Questions compilation provides the ultimate resource for systematic JEE preparation. By organizing 15 years of questions chapter by chapter, students can master concepts systematically and build strong foundations in each subject.

Key Benefits

=� Complete 15-year chapter-wise coverage
<� Systematic chapter organization
=� Detailed difficulty analysis
=� Performance tracking by chapter
<� Strategic preparation guidance
=� Comprehensive study materials
=
 In-depth chapter analysis
� Optimized study schedule

Optimal Utilization Strategy

<� Systematic Approach:
- Complete one chapter at a time
- Master all concepts before moving forward
- Practice questions from all years
- Track progress by chapter

=� Progressive Learning:
- Start with easy questions
- Progress to medium and hard questions
- Focus on understanding concepts
- Develop problem-solving skills

=� Consistent Practice:
- Daily chapter-wise practice
- Regular revision of completed chapters
- Mock tests for completed sections
- Continuous performance improvement

Master JEE systematically with chapter-wise previous year questions organized for focused learning and comprehensive preparation! =�

Success in JEE comes from systematic preparation and consistent practice. This chapter-wise compilation is your complete companion for achieving mastery in every concept! <�