JEE Class 11 syllabus
The Class 11 part of the JEE Main syllabus by chapter: each topic of Physics, Chemistry and Maths with its NCERT section, or marked beyond NCERT.
- 37 chapters
- 259 topics
- 243 in JEE Main
- 16 not in JEE Main
- 26 beyond NCERT
- 259 with notes
- 0 marked done
Based on the official Syllabus for JEE (Main) 2027, Paper 1 (B.E./B.Tech.) (National Testing Agency) and the NCERT Class 11 books, reprint 2026-27. Checked 26 Oct 2026. Sources
- Not in JEE Main
- In the NCERT book, not in the JEE Main syllabus.
- Beyond NCERT
- In the JEE Main syllabus; the Class 11 book has no section for it.
- Linked title
- The topic has study notes.
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Physics
14 chapters 121 topics 116 in JEE Main
NCERT Physics Part I, Chapter 1
Units and Measurement
JEE Main Unit 1: Units and Measurements
JEE Main Unit 20: Experimental Skills
1.1–1.2
SI units
NCERT: Introduction; The international system of units
3 subtopics
- Base and derived units
- The seven SI base units
- Plane angle and solid angle (radian and steradian)
pp. 1–3
1.3
4 subtopics
- Rules for counting significant figures
- 1.3.1 Rules for arithmetic operations with significant figures
- 1.3.2 Rounding off the uncertain digits
- 1.3.3 Rules for determining the uncertainty in the results of arithmetic calculations
pp. 3–7
Errors in measurement
Beyond NCERT
Not a section of the 2026–27 book; 1.3.3 only touches relative error and combining errors.
4 subtopics
- Accuracy and precision
- Systematic and random errors
- Absolute, relative and percentage error
- Combination of errors in sums, products and powers
Least count: vernier callipers and screw gauge
Beyond NCERT
Least count is in JEE Main Unit 1 and the two instruments in Unit 20; the NCERT book only names them in its exercises.
4 subtopics
- Least count of an instrument
- Vernier calipers: internal and external diameter and depth of a vessel
- Screw gauge
- Zero error and its correction
1.4
2 subtopics
- Base quantities and their dimensions
- Dimensions of derived quantities
p. 7
1.5
Dimensional formulae and equations
NCERT: Dimensional formulae and dimensional equations
2 subtopics
- Dimensional formula
- Dimensional equation
p. 7
1.6
4 subtopics
- 1.6.1 Checking the dimensional consistency of equations
- 1.6.2 Deducing relation among the physical quantities
- Dimensionless quantities
- Limitations of dimensional analysis
pp. 7–9
Frame of reference and displacement
Beyond NCERT
Listed in JEE Main Unit 2; the 2026–27 NCERT book has no section on it.
5 subtopics
- Frame of reference
- Position, path length and displacement
- Average velocity and average speed
- Uniform and non-uniform motion
- Position-time graphs
2.2
Velocity and speed
NCERT: Instantaneous velocity and speed
2 subtopics
- Instantaneous velocity as the slope of the x-t graph
- Instantaneous speed
pp. 14–15
2.3
3 subtopics
- Average and instantaneous acceleration
- Velocity-time graphs
- Displacement as the area under the v-t graph
pp. 15–17
2.4
Equations of motion
NCERT: Kinematic equations for uniformly accelerated motion
4 subtopics
- The three equations of motion
- Deriving the equations with calculus
- Free fall
- Stopping distance and reaction time
pp. 17–21
Relative velocity
Beyond NCERT
The 2026–27 book has no section on it, though the chapter’s first page still lists “2.5 Relative velocity”.
3 subtopics
- Relative velocity in one dimension
- Relative velocity in two dimensions
- River crossing and rain problems
3.2
Scalars and vectors
Not named in the Physics syllabus; vectors are in JEE Main Maths Unit 12, and motion in a plane needs them.
2 subtopics
- 3.2.1 Position and displacement vectors
- 3.2.2 Equality of vectors
pp. 27–29
3.3
Multiplying a vector by a number
NCERT: Multiplication of vectors by real numbers
Not named in the Physics syllabus; vectors are in JEE Main Maths Unit 12, and motion in a plane needs them.
1 subtopic
- Effect on magnitude and direction
p. 29
3.4
Adding vectors graphically
NCERT: Addition and subtraction of vectors – graphical method
Not named in the Physics syllabus; vectors are in JEE Main Maths Unit 12, and motion in a plane needs them.
4 subtopics
- Triangle law of vector addition
- Parallelogram law
- Null vector
- Subtracting vectors
pp. 29–31
3.5
Resolution of vectors
Not named in the Physics syllabus; vectors are in JEE Main Maths Unit 12, and motion in a plane needs them.
2 subtopics
- Unit vectors
- Rectangular components of a vector
pp. 31–33
3.6
Adding vectors by components
NCERT: Vector addition – analytical method
Not named in the Physics syllabus; vectors are in JEE Main Maths Unit 12, and motion in a plane needs them.
2 subtopics
- Adding vectors component by component
- Magnitude and direction of the resultant
pp. 33–34
3.7
Position, velocity and acceleration in a plane
NCERT: Motion in a plane
3 subtopics
- 3.7.1 Position vector and displacement
- Velocity in a plane
- Acceleration in a plane
pp. 34–37
3.8
Constant acceleration in a plane
NCERT: Motion in a plane with constant acceleration
2 subtopics
- Equations of motion in vector form
- Treating the x and y motions separately
pp. 37–38
3.9
4 subtopics
- Equation of the path
- Time of flight
- Maximum height
- Horizontal range
pp. 38–40
3.10
3 subtopics
- Centripetal acceleration
- Angular speed
- Time period and frequency
pp. 40–42
4.2
Aristotle’s fallacy
Not in JEE Main
1 subtopic
- Why no force is needed to keep a body moving
p. 50
4.3
2 subtopics
- Galileo’s inclined plane experiments
- Inertia
pp. 50–51
4.4
2 subtopics
- Statement of the first law
- Zero net force means constant velocity
pp. 51–53
4.5
3 subtopics
- Momentum
- F = ma
- Impulse
pp. 53–56
4.6
2 subtopics
- Action and reaction pairs
- Forces act on different bodies
pp. 56–57
4.7
2 subtopics
- Law of conservation of linear momentum
- Recoil of a gun
pp. 57–58
4.8
2 subtopics
- Equilibrium of concurrent forces
- Resolving forces into components
pp. 58–59
4.9
Friction
NCERT: Common forces in mechanics
5 subtopics
- Contact forces and normal reaction
- 4.9.1 Friction
- Static and kinetic friction
- Laws of friction
- Rolling friction
pp. 59–62
4.10
Dynamics of circular motion
NCERT: Circular motion
3 subtopics
- Centripetal force
- Car on a level road
- Car on a banked road
pp. 63–64
4.11
Solving problems in mechanics
Not named in the syllabus; it is the free-body method behind every Unit 3 problem.
2 subtopics
- Free-body diagrams
- Step-by-step method for mechanics problems
pp. 64–66
5.1
Scalar product
NCERT: Introduction
Not named in the Physics syllabus; vectors are in JEE Main Maths Unit 12, and work in Unit 4 is a scalar product.
1 subtopic
- 5.1.1 The scalar product
pp. 71–72
5.2
Work-energy theorem
NCERT: Notions of work and kinetic energy: The work-energy theorem
1 subtopic
- Work done and the change in kinetic energy
p. 73
5.3
3 subtopics
- Work done by a constant force
- Positive, negative and zero work
- Unit of work: the joule
pp. 73–74
5.4
1 subtopic
- Kinetic energy of a moving body
pp. 74–75
5.5
2 subtopics
- Work as the area under the force-displacement graph
- Work as an integral
pp. 75–76
5.6
Work-energy theorem (variable force)
NCERT: The work-energy theorem for a variable force
1 subtopic
- Proof using calculus
pp. 76–77
5.7
Potential energy
NCERT: The concept of potential energy
2 subtopics
- Conservative and non-conservative forces
- Gravitational potential energy near the earth
pp. 77–78
5.8
3 subtopics
- Definition of a conservative force
- Total mechanical energy
- Motion in a vertical circle (NCERT Example 5.7)
pp. 78–80
5.9
2 subtopics
- Spring force and Hooke’s law
- Elastic potential energy of a spring
pp. 80–83
5.10
3 subtopics
- Average and instantaneous power
- Power as force times velocity
- Units: watt and horsepower; the kWh is a unit of energy
p. 83
5.11
3 subtopics
- 5.11.1 Elastic and inelastic collisions
- 5.11.2 Collisions in one dimension
- 5.11.3 Collisions in two dimensions
pp. 83–86
NCERT Physics Part I, Chapter 6
Systems of Particles and Rotational Motion
JEE Main Unit 5: Rotational Motion
JEE Main Unit 20: Experimental Skills
6.1
Rigid body motion
NCERT: Introduction
1 subtopic
- 6.1.1 What kind of motion can a rigid body have?
pp. 92–95
6.2
3 subtopics
- Centre of mass of two particles
- Centre of mass of many particles
- Centre of mass of a rigid body
pp. 95–99
6.3
2 subtopics
- Velocity and acceleration of the centre of mass
- External forces and the centre of mass
pp. 99–100
6.4
Momentum of a system
NCERT: Linear momentum of a system of particles
2 subtopics
- Total momentum of a system
- Conservation of total momentum
pp. 100–101
6.5
Vector product
Not named in the Physics syllabus; vectors are in JEE Main Maths Unit 12, and torque in Unit 5 is a vector product.
3 subtopics
- Definition and the right-hand rule
- Properties of the vector product
- Vector product in component form
pp. 101–103
6.6
2 subtopics
- Relation between linear and angular velocity
- 6.6.1 Angular acceleration
pp. 103–105
6.7
2 subtopics
- 6.7.1 Moment of force (torque)
- 6.7.2 Angular momentum of a particle
pp. 105–109
6.8
2 subtopics
- 6.8.1 Principle of moments
- 6.8.2 Centre of gravity
pp. 109–114
Experiment: mass with a metre scale
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (6.8.1) but does not describe the method.
2 subtopics
- Balancing a metre scale with a known mass
- Using the principle of moments
6.9
3 subtopics
- Moment of inertia of a system of particles
- Radius of gyration
- Moments of inertia of a ring, disc, rod and sphere
pp. 114–116
Parallel and perpendicular axes
Beyond NCERT
Listed in JEE Main Unit 5; the 2026–27 NCERT book has no section on it.
3 subtopics
- Perpendicular axes theorem
- Parallel axes theorem
- Using the theorems for rods, rings and discs
6.10
Rotational kinematics
NCERT: Kinematics of rotational motion about a fixed axis
2 subtopics
- Equations of rotation with constant angular acceleration
- Analogy with the kinematic equations of linear motion
pp. 116–118
6.11
Rotational dynamics
NCERT: Dynamics of rotational motion about a fixed axis
3 subtopics
- Torque and angular acceleration
- Work and power in rotational motion
- Comparing linear and rotational motion
pp. 118–120
6.12
Angular momentum about an axis
NCERT: Angular momentum in case of rotations about a fixed axis
1 subtopic
- 6.12.1 Conservation of angular momentum
pp. 121–123
7.2
3 subtopics
- Law of orbits
- Law of areas
- Law of periods
pp. 128–129
7.3
2 subtopics
- Newton’s law of gravitation
- Force due to a uniform spherical shell (point outside and inside)
pp. 129–131
7.4
2 subtopics
- Cavendish’s experiment
- Value of G
pp. 131–132
7.5
3 subtopics
- The earth as a sphere of concentric shells
- g in terms of the mass and radius of the earth
- Mass of the earth from g
pp. 132–133
7.6
Variation of g
NCERT: Acceleration due to gravity below and above the surface of earth
2 subtopics
- g above the surface of the earth
- g below the surface of the earth
pp. 133–134
7.7
2 subtopics
- Potential energy of two masses
- Gravitational potential
pp. 134–135
7.8
2 subtopics
- Deriving the escape speed
- Escape speed of the earth and the moon
pp. 135–137
7.9
2 subtopics
- Orbital speed
- Time period of a satellite
pp. 137–138
7.10
1 subtopic
- Kinetic, potential and total energy of a satellite
pp. 138–139
NCERT Physics Part II, Chapter 8
Mechanical Properties of Solids
JEE Main Unit 7: Properties of Solids and Liquids
JEE Main Unit 20: Experimental Skills
8.1
Elasticity and plasticity
NCERT: Introduction
2 subtopics
- Elasticity and elastic deformation
- Plasticity
pp. 167–168
8.2
2 subtopics
- Tensile, compressive, shearing and hydraulic stress
- Longitudinal, shearing and volume strain
pp. 168–169
8.3
2 subtopics
- Stress is proportional to strain
- Modulus of elasticity
p. 169
8.4
3 subtopics
- Linear region, yield point (elastic limit) and yield strength
- Ultimate strength and fracture
- Ductile and brittle materials
pp. 169–170
8.5
5 subtopics
- 8.5.1 Young’s modulus
- 8.5.2 Shear modulus
- 8.5.3 Bulk modulus
- 8.5.4 Poisson’s ratio
- 8.5.5 Elastic potential energy in a stretched wire
pp. 170–174
Experiment: Young’s modulus of a wire
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (8.5.1) but does not describe the method.
2 subtopics
- Stretching a wire with known loads
- Young’s modulus from the load-extension graph
8.6
Applications of elastic behaviour
Not in JEE Main
2 subtopics
- Thickness of a crane’s rope
- Why beams have an I-shaped section
pp. 174–176
NCERT Physics Part II, Chapter 9
Mechanical Properties of Fluids
JEE Main Unit 7: Properties of Solids and Liquids
JEE Main Unit 20: Experimental Skills
9.2
4 subtopics
- 9.2.1 Pascal’s law
- 9.2.2 Variation of pressure with depth
- 9.2.3 Atmospheric pressure and gauge pressure
- 9.2.4 Hydraulic machines
pp. 180–186
9.3
Streamline and turbulent flow
NCERT: Streamline flow
3 subtopics
- Streamlines and steady flow
- Equation of continuity
- Turbulent flow and critical speed
pp. 186–187
9.4
3 subtopics
- Bernoulli’s equation
- 9.4.1 Speed of efflux: Torricelli’s law
- 9.4.2 Dynamic lift
pp. 187–190
9.5
3 subtopics
- Coefficient of viscosity
- 9.5.1 Stokes’ law
- Terminal velocity
pp. 190–192
Experiment: viscosity from terminal velocity
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (9.5.1) but does not describe the method.
2 subtopics
- Timing a ball falling through a liquid
- Viscosity from the terminal velocity
9.6
6 subtopics
- 9.6.1 Surface energy
- 9.6.2 Surface energy and surface tension
- 9.6.3 Angle of contact
- 9.6.4 Drops and bubbles
- 9.6.5 Capillary rise
- Detergents as wetting agents
pp. 192–197
Experiment: surface tension by capillary rise
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (9.6.5) but does not describe the method.
2 subtopics
- Measuring the rise in a capillary tube
- The effect of detergents
NCERT Physics Part II, Chapter 10
Thermal Properties of Matter
JEE Main Unit 7: Properties of Solids and Liquids
JEE Main Unit 20: Experimental Skills
10.2
2 subtopics
- Temperature as a measure of hotness
- Heat as energy in transit
pp. 202–203
10.3
Measuring temperature
NCERT: Measurement of temperature
2 subtopics
- Thermometers and fixed points
- Celsius and Fahrenheit scales
p. 203
10.4
3 subtopics
- Boyle’s law and Charles’ law
- The ideal-gas equation
- Absolute zero and the kelvin scale
pp. 203–204
10.5
3 subtopics
- Linear expansion
- Area and volume expansion
- Anomalous expansion of water
pp. 204–207
10.6
2 subtopics
- Heat capacity and specific heat capacity
- Molar specific heat capacity
pp. 208–209
10.7
2 subtopics
- Principle of calorimetry
- Specific heat of a solid by the method of mixtures
pp. 209–210
Experiment: specific heat by the method of mixtures
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (10.7) but does not describe the method.
3 subtopics
- Heat lost equals heat gained
- Specific heat capacity of a solid
- Specific heat capacity of a liquid
10.8
2 subtopics
- Melting, boiling and sublimation
- 10.8.1 Latent heat
pp. 210–214
10.9
4 subtopics
- 10.9.1 Conduction
- 10.9.2 Convection
- 10.9.3 Radiation
- 10.9.4 Blackbody radiation
pp. 214–219
10.10
Newton’s law of cooling
Not in JEE Main
1 subtopic
- Rate of cooling and temperature difference
pp. 219–221
11.1–11.2
2 subtopics
- System and surroundings
- Thermal equilibrium between systems
pp. 226–228
11.3
2 subtopics
- Statement of the zeroth law
- Temperature from the zeroth law
p. 228
11.4
2 subtopics
- Internal energy
- Heat and work
pp. 229–230
11.5
2 subtopics
- Statement of the first law
- Work done by a gas at constant pressure (PΔV)
pp. 230–231
11.6
4 subtopics
- Molar specific heat of solids
- Specific heat capacity of water
- Molar specific heats at constant pressure and volume
- Mayer’s relation
pp. 231–232
11.7
State variables and equation of state
NCERT: Thermodynamic state variables and equation of state
2 subtopics
- Extensive and intensive variables
- Equation of state
pp. 232–233
11.8
6 subtopics
- 11.8.1 Quasi-static process
- 11.8.2 Isothermal process
- 11.8.3 Adiabatic process
- 11.8.4 Isochoric process
- 11.8.5 Isobaric process
- 11.8.6 Cyclic process
pp. 233–236
11.9
2 subtopics
- Kelvin-Planck statement
- Clausius statement
p. 236
11.10
2 subtopics
- Conditions for a reversible process
- Why real processes are irreversible
pp. 236–237
11.11
Carnot engine
Not in JEE Main
2 subtopics
- Carnot cycle
- Efficiency of a Carnot engine
pp. 237–239
12.2
Molecular nature of matter
Not in JEE Main
2 subtopics
- The atomic hypothesis
- Solids, liquids and gases at the molecular level
pp. 244–246
12.3
4 subtopics
- Ideal gas equation
- Real gases approach ideal behaviour at low pressure and high temperature
- Avogadro’s hypothesis and Avogadro’s number
- Dalton’s law of partial pressures
pp. 246–248
12.4
4 subtopics
- Assumptions of kinetic theory
- 12.4.1 Pressure of an ideal gas
- 12.4.2 Kinetic interpretation of temperature
- RMS speed of gas molecules
pp. 248–252
12.5
2 subtopics
- Degrees of freedom
- Energy per degree of freedom
pp. 252–253
12.6
4 subtopics
- 12.6.1 Monatomic gases
- 12.6.2 Diatomic gases
- 12.6.3 Polyatomic gases
- 12.6.4 Specific heat capacity of solids
pp. 253–254
12.7
2 subtopics
- Mean free path formula
- Dependence on molecular size and number density
pp. 254–255
NCERT Physics Part II, Chapter 13
Oscillations
JEE Main Unit 10: Oscillations and Waves
JEE Main Unit 20: Experimental Skills
13.2
3 subtopics
- 13.2.1 Period and frequency
- 13.2.2 Displacement
- Periodic functions
pp. 260–262
13.3
2 subtopics
- Displacement as a function of time
- Amplitude, phase and angular frequency
pp. 262–264
13.4
SHM and uniform circular motion
NCERT: Simple harmonic motion and uniform circular motion
1 subtopic
- SHM as the projection of uniform circular motion
pp. 264–266
13.5
Velocity and acceleration in SHM
NCERT: Velocity and acceleration in simple harmonic motion
2 subtopics
- Velocity in SHM
- Acceleration in SHM
pp. 266–267
13.6
Force law for SHM
NCERT: Force law for simple harmonic motion
2 subtopics
- Restoring force and force constant
- Oscillations of a spring
pp. 267–268
13.7
Energy in SHM
NCERT: Energy in simple harmonic motion
2 subtopics
- Kinetic and potential energy in SHM
- Total energy stays constant
pp. 268–270
13.8
1 subtopic
- Time period of a simple pendulum
pp. 270–271
Experiment: simple pendulum and loss of energy
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (13.8) but does not describe the method.
2 subtopics
- Measuring the time period
- Square of the amplitude against time
NCERT Physics Part II, Chapter 14
Waves
JEE Main Unit 10: Oscillations and Waves
JEE Main Unit 20: Experimental Skills
14.1
Wave motion
NCERT: Introduction
2 subtopics
- Mechanical and electromagnetic waves
- A wave carries energy, not matter
pp. 278–280
14.2
2 subtopics
- Transverse waves
- Longitudinal waves
pp. 280–281
14.3
Displacement relation for a progressive wave
NCERT: Displacement relation in a progressive wave
3 subtopics
- 14.3.1 Amplitude and phase
- 14.3.2 Wavelength and angular wave number
- 14.3.3 Period, angular frequency and frequency
pp. 281–284
14.4
2 subtopics
- 14.4.1 Speed of a transverse wave on stretched string
- 14.4.2 Speed of a longitudinal wave (speed of sound)
pp. 284–287
14.5
2 subtopics
- Superposition of two waves
- Constructive and destructive interference
pp. 287–288
14.6
5 subtopics
- Reflection at rigid and open boundaries
- 14.6.1 Standing waves and normal modes
- Standing waves in strings
- Standing waves in pipes and the resonance tube
- Fundamental mode and harmonics
pp. 288–293
Experiment: speed of sound with a resonance tube
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (14.6.1) but does not describe the method.
2 subtopics
- Finding the resonance lengths
- Speed of sound from two resonances
14.7
2 subtopics
- Beat frequency
- Using beats to tune instruments
pp. 293–294
Chemistry
9 chapters 76 topics 67 in JEE Main
NCERT Chemistry Part I, Chapter 1
Some Basic Concepts of Chemistry
JEE Main Unit 1: Some Basic Concepts in Chemistry
1.1
Importance of chemistry
Not in JEE Main
1 subtopic
- Chemistry in daily life, industry and medicine
p. 4
1.2
2 subtopics
- 1.2.1 States of matter
- 1.2.2 Classification of matter
pp. 4–6
1.3
7 subtopics
- 1.3.1 Physical and chemical properties
- 1.3.2 Measurement of physical properties
- 1.3.3 The International System of Units (SI)
- 1.3.4 Mass and weight
- 1.3.5 Volume
- 1.3.6 Density
- 1.3.7 Temperature
pp. 6–10
1.4
3 subtopics
- 1.4.1 Scientific notation
- 1.4.2 Significant figures
- 1.4.3 Dimensional analysis
pp. 10–14
1.5
5 subtopics
- 1.5.1 Law of conservation of mass
- 1.5.2 Law of definite proportions
- 1.5.3 Law of multiple proportions
- 1.5.4 Gay Lussac’s law of gaseous volumes
- 1.5.5 Avogadro’s law
pp. 14–16
1.6
1 subtopic
- Postulates of Dalton’s theory
p. 16
1.7
4 subtopics
- 1.7.1 Atomic mass
- 1.7.2 Average atomic mass
- 1.7.3 Molecular mass
- 1.7.4 Formula mass
pp. 16–18
1.8
2 subtopics
- Avogadro constant
- Molar mass
p. 18
1.9
2 subtopics
- Mass per cent of an element
- 1.9.1 Empirical formula for molecular formula
pp. 18–20
1.10
3 subtopics
- Balancing a chemical equation
- 1.10.1 Limiting reagent
- 1.10.2 Reactions in solutions
pp. 20–24
2.1
4 subtopics
- 2.1.1 Discovery of electron
- 2.1.2 Charge to mass ratio of electron
- 2.1.3 Charge on the electron
- 2.1.4 Discovery of protons and neutrons
pp. 30–32
2.2
5 subtopics
- 2.2.1 Thomson model of atom
- 2.2.2 Rutherford’s nuclear model of atom
- 2.2.3 Atomic number and mass number
- 2.2.4 Isobars and isotopes
- 2.2.5 Drawbacks of Rutherford model
pp. 32–37
2.3
3 subtopics
- 2.3.1 Wave nature of electromagnetic radiation
- 2.3.2 Particle nature of electromagnetic radiation: Planck’s quantum theory
- 2.3.3 Evidence for the quantized electronic energy levels: atomic spectra
pp. 37–46
2.4
4 subtopics
- Postulates of Bohr’s model
- Energy and radius of an orbit
- 2.4.1 Explanation of line spectrum of hydrogen
- 2.4.2 Limitations of Bohr’s model
pp. 46–49
2.5
2 subtopics
- 2.5.1 Dual behaviour of matter
- 2.5.2 Heisenberg’s uncertainty principle
pp. 49–53
2.6
6 subtopics
- 2.6.1 Orbitals and quantum numbers
- 2.6.2 Shapes of atomic orbitals
- 2.6.3 Energies of orbitals
- 2.6.4 Filling of orbitals in atom
- 2.6.5 Electronic configuration of atoms
- 2.6.6 Stability of completely filled and half filled subshells
pp. 53–67
NCERT Chemistry Part I, Chapter 3
Classification of Elements and Periodicity in Properties
JEE Main Unit 9: Classification of Elements and Periodicity in Properties
3.1
1 subtopic
- The need for a periodic table
p. 74
3.2
Genesis of periodic classification
Not in JEE Main
3 subtopics
- Döbereiner’s triads
- Newlands’ law of octaves
- Mendeleev’s periodic table
pp. 75–77
3.3
2 subtopics
- The modern periodic law
- Groups and periods
p. 78
3.4
Naming elements above 100
NCERT: Nomenclature of Elements with Atomic Numbers > 100
Part of the present form of the periodic table in Unit 9.
1 subtopic
- IUPAC names and symbols from the atomic number
pp. 78–81
3.5
Configurations and the periodic table
NCERT: Electronic Configurations of Elements and the Periodic Table
2 subtopics
- Electronic configurations in periods
- Electronic configurations in groups
pp. 81–82
3.6
s, p, d and f blocks
NCERT: Electronic Configurations and Types of Elements: s-, p-, d-, f- Blocks
5 subtopics
- 3.6.1 The s-block elements
- 3.6.2 The p-block elements
- 3.6.3 The d-block elements (transition elements)
- 3.6.4 The f-block elements (inner-transition elements)
- 3.6.5 Metals, non-metals and metalloids
pp. 82–85
3.7
7 subtopics
- 3.7.1 Trends in physical properties
- Atomic and ionic radius
- Ionization enthalpy
- Electron gain enthalpy
- Electronegativity
- 3.7.2 Periodic trends in chemical properties
- 3.7.3 Periodic trends and chemical reactivity
pp. 85–95
NCERT Chemistry Part I, Chapter 4
Chemical Bonding and Molecular Structure
JEE Main Unit 3: Chemical Bonding and Molecular Structure
4.1
5 subtopics
- 4.1.1 Octet rule
- 4.1.2 Covalent bond
- 4.1.3 Lewis representation of simple molecules (the Lewis structures)
- 4.1.4 Formal charge
- 4.1.5 Limitations of the octet rule
pp. 101–106
4.2
Ionic bond
NCERT: Ionic or Electrovalent Bond
2 subtopics
- Factors favouring the formation of an ionic bond
- 4.2.1 Lattice enthalpy
pp. 106–107
4.3
8 subtopics
- 4.3.1 Bond length
- 4.3.2 Bond angle
- 4.3.3 Bond enthalpy
- 4.3.4 Bond order
- 4.3.5 Resonance structures
- 4.3.6 Polarity of bonds
- Dipole moment
- Fajans’ rules
pp. 107–112
4.4
VSEPR theory
NCERT: The Valence Shell Electron Pair Repulsion (VSEPR) Theory
2 subtopics
- Postulates of VSEPR theory
- Shapes of molecules with and without lone pairs
pp. 112–117
4.5
5 subtopics
- 4.5.1 Orbital overlap concept
- 4.5.2 Directional properties of bonds
- 4.5.3 Overlapping of atomic orbitals
- 4.5.4 Types of overlapping and nature of covalent bonds
- 4.5.5 Strength of sigma and pi bonds
pp. 117–120
4.6
3 subtopics
- 4.6.1 Types of hybridisation
- 4.6.2 Other examples of sp, sp and sp hybridisation
- 4.6.3 Hybridisation of elements involving d orbitals
pp. 120–125
4.7
5 subtopics
- 4.7.1 Formation of molecular orbitals
- 4.7.2 Conditions for the combination of atomic orbitals
- 4.7.3 Types of molecular orbitals
- 4.7.4 Energy level diagram for molecular orbitals
- 4.7.5 Electronic configuration and molecular behaviour
pp. 125–129
4.8
Homonuclear diatomic molecules
NCERT: Bonding in Some Homonuclear Diatomic Molecules
2 subtopics
- Molecular orbital diagrams from H to Ne
- Bond order and magnetic character
pp. 129–131
4.9
2 subtopics
- 4.9.1 Cause of formation of hydrogen bond
- 4.9.2 Types of H-bonds
pp. 131–132
Metallic bonding
Beyond NCERT
Listed in JEE Main Unit 3 as an “elementary idea of metallic bonding”; the 2026–27 NCERT book has no section on it.
2 subtopics
- The electron sea model
- Properties of metals explained by metallic bonding
NCERT Chemistry Part I, Chapter 5
Thermodynamics
JEE Main Unit 4: Chemical Thermodynamics
JEE Main Unit 20: Principles Related to Practical Chemistry
5.1
5 subtopics
- 5.1.1 The system and the surroundings
- 5.1.2 Types of the system
- 5.1.3 The state of the system
- 5.1.4 The internal energy as a state function
- First law of thermodynamics (ΔU = q + w)
pp. 137–140
5.2
Work, enthalpy and heat capacity
NCERT: Applications
6 subtopics
- 5.2.1 Work
- Reversible, isothermal and free expansion processes
- 5.2.2 Enthalpy, H
- Extensive and intensive properties
- Heat capacity
- Relation between Cp and CV for an ideal gas
pp. 140–145
5.3
Calorimetry
NCERT: Measurement of ΔU and ΔH: Calorimetry
Not named in Unit 4; it is how the unit’s heats and enthalpies are measured.
2 subtopics
- Measuring ΔU with a bomb calorimeter
- Measuring ΔH at constant pressure
pp. 145–146
5.4
Reaction enthalpy and Hess’s law
NCERT: Enthalpy Change, ΔrH of a Reaction – Reaction Enthalpy
5 subtopics
- Standard enthalpy of reaction
- Enthalpy of phase changes
- Standard enthalpy of formation
- Thermochemical equations
- Hess’s law of constant heat summation
pp. 146–152
5.5
Combustion, bond and lattice enthalpies
NCERT: Enthalpies for Different Types of Reactions
5 subtopics
- Enthalpy of combustion
- Enthalpy of atomization
- Bond enthalpy
- Lattice enthalpy and the Born-Haber cycle
- Enthalpy of solution
pp. 152–157
2 subtopics
- Neutralization of a strong acid by a strong base
- Measuring it with a calorimeter
Experiment: enthalpy of solution of copper sulphate
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (NCERT 5.5) but does not describe the method.
3 subtopics
- Dissolving copper sulphate in water in a calorimeter
- Temperature change and the heat absorbed
- Enthalpy of solution per mole
5.6
3 subtopics
- Is a decrease in enthalpy enough?
- Entropy and spontaneity
- Gibbs energy and spontaneity
pp. 157–162
5.7
Gibbs energy and equilibrium
NCERT: Gibbs Energy Change and Equilibrium
1 subtopic
- Standard Gibbs energy change and the equilibrium constant
pp. 162–163
NCERT Chemistry Part I, Chapter 6
Equilibrium
JEE Main Unit 6: Equilibrium
JEE Main Unit 20: Principles Related to Practical Chemistry
6.1
Equilibrium in physical processes
Gas-gas equilibria, listed in Unit 6, are not in the book.
6 subtopics
- 6.1.1 Solid-liquid equilibrium
- 6.1.2 Liquid-vapour equilibrium
- 6.1.3 Solid–vapour equilibrium
- 6.1.4 Equilibrium involving dissolution of solid or gases in liquids
- Henry’s law
- 6.1.5 General characteristics of equilibria involving physical processes
pp. 169–172
6.2
Dynamic equilibrium in chemical processes
NCERT: Equilibrium in Chemical Processes – Dynamic Equilibrium
2 subtopics
- Reversible reactions
- The dynamic nature of equilibrium
pp. 172–174
6.3
2 subtopics
- Law of mass action
- The equilibrium constant Kc
pp. 174–177
6.4
2 subtopics
- 6.4.1 Equilibrium constant in gaseous systems
- Relation between Kp and Kc
pp. 177–179
6.5
1 subtopic
- Pure solids and liquids in the equilibrium constant
pp. 179–181
6.6
3 subtopics
- 6.6.1 Predicting the extent of a reaction
- 6.6.2 Predicting the direction of the reaction
- 6.6.3 Calculating equilibrium concentrations
pp. 181–184
6.7
Equilibrium constant, reaction quotient and Gibbs energy
NCERT: Relationship between Equilibrium Constant K, Reaction Quotient Q and Gibbs Energy
1 subtopic
- Relation between ΔG, ΔG° and the reaction quotient
p. 184
6.8
6 subtopics
- Le Chatelier’s principle
- 6.8.1 Effect of concentration change
- 6.8.2 Effect of pressure change
- 6.8.3 Effect of inert gas addition
- 6.8.4 Effect of temperature change
- 6.8.5 Effect of a catalyst
pp. 184–188
6.9
2 subtopics
- Strong and weak electrolytes
- Ionization of electrolytes
pp. 188–189
6.10
3 subtopics
- 6.10.1 Arrhenius concept of acids and bases
- 6.10.2 The Brönsted-Lowry acids and bases
- 6.10.3 Lewis acids and bases
pp. 189–192
6.11
10 subtopics
- Acid-base indicators
- 6.11.1 The ionization constant of water and its ionic product
- 6.11.2 The pH scale
- 6.11.3 Ionization constants of weak acids
- 6.11.4 Ionization of weak bases
- 6.11.5 Relation between Ka and Kb
- 6.11.6 Di- and polybasic acids and di- and polyacidic bases
- 6.11.7 Factors affecting acid strength
- 6.11.8 Common ion effect in the ionization of acids and bases
- 6.11.9 Hydrolysis of salts and the pH of their solutions
pp. 192–202
Experiment: acid-base titration with an indicator
Beyond NCERT
A JEE Main Unit 20 experiment; the NCERT book has the theory (NCERT 6.11) but does not describe the method.
3 subtopics
- Standard solutions and the burette
- Choosing an indicator: phenolphthalein and methyl orange
- End point and the concentration of the unknown
6.12
1 subtopic
- 6.12.1 Designing buffer solution
pp. 202–204
6.13
2 subtopics
- 6.13.1 Solubility product constant
- 6.13.2 Common ion effect on solubility of ionic salts
pp. 204–206
NCERT Chemistry Part II, Chapter 7
Redox Reactions
JEE Main Unit 7: Redox Reactions and Electrochemistry
JEE Main Unit 20: Principles Related to Practical Chemistry
7.1
Classical idea of oxidation and reduction
NCERT: Classical Idea of Redox Reactions-Oxidation and Reduction Reactions
1 subtopic
- Oxidation and reduction as gain or loss of oxygen and hydrogen
pp. 235–237
7.2
Redox reactions as electron transfer
NCERT: Redox Reactions in Terms of Electron Transfer Reactions
2 subtopics
- Oxidation as loss and reduction as gain of electrons
- 7.2.1 Competitive electron transfer reactions
pp. 237–239
7.3
5 subtopics
- Rules for assigning oxidation numbers
- 7.3.1 Types of redox reactions
- 7.3.2 Balancing of redox reactions
- 7.3.3 Redox reactions as the basis for titrations
- 7.3.4 Limitations of concept of oxidation number
pp. 239–249
7.4
2 subtopics
- The Daniell cell
- Standard electrode potentials
pp. 249–251
NCERT Chemistry Part II, Chapter 8
Organic Chemistry: Some Basic Principles and Techniques
JEE Main Unit 13: Purification and Characterisation of Organic Compounds
JEE Main Unit 14: Some Basic Principles of Organic Chemistry
JEE Main Unit 20: Principles Related to Practical Chemistry
8.1
General introduction to organic chemistry
Not in JEE Main
1 subtopic
- Vital force theory and Wöhler’s synthesis of urea
pp. 256–257
8.2
Tetravalence of carbon and shapes
NCERT: Tetravalence of Carbon: Shapes of Organic Compounds
2 subtopics
- 8.2.1 The shapes of carbon compounds
- 8.2.2 Some characteristic features of π bonds
p. 257
8.3
Structural representations
Not named in JEE Main Unit 14; the book writes the unit’s isomers and mechanisms in these formulas.
2 subtopics
- 8.3.1 Complete, condensed and bond-line structural formulas
- 8.3.2 Three-dimensional representation of organic molecules
pp. 258–261
8.4
2 subtopics
- 8.4.1 Functional group
- 8.4.2 Homologous series
pp. 261–262
8.5
IUPAC nomenclature of organic compounds
NCERT: Nomenclature of Organic Compounds
4 subtopics
- 8.5.1 The IUPAC system of nomenclature
- 8.5.2 IUPAC nomenclature of alkanes
- 8.5.3 Nomenclature of organic compounds having functional group(s)
- 8.5.4 Nomenclature of substituted benzene compounds
pp. 262–270
8.6
2 subtopics
- 8.6.1 Structural isomerism
- 8.6.2 Stereoisomerism
pp. 270–271
8.7
Organic reaction mechanism
NCERT: Fundamental Concepts in Organic Reaction Mechanism
10 subtopics
- 8.7.1 Fission of a covalent bond
- 8.7.2 Substrate and reagent
- 8.7.3 Electron movement in organic reactions
- 8.7.4 Electron displacement effects in covalent bonds
- 8.7.5 Inductive effect
- 8.7.6 Resonance structure
- 8.7.7 Resonance effect
- 8.7.8 Electromeric effect (E effect)
- 8.7.9 Hyperconjugation
- 8.7.10 Types of organic reactions and mechanisms
pp. 271–278
8.8
Purification of organic compounds
NCERT: Methods of Purification of Organic Compounds
5 subtopics
- 8.8.1 Sublimation
- 8.8.2 Crystallisation
- 8.8.3 Distillation
- 8.8.4 Differential extraction
- 8.8.5 Chromatography
pp. 278–284
8.9
3 subtopics
- 8.9.1 Detection of carbon and hydrogen
- 8.9.2 Detection of other elements
- Lassaigne’s test for nitrogen, sulphur and halogens
pp. 284–285
8.10
6 subtopics
- 8.10.1 Carbon and hydrogen
- 8.10.2 Nitrogen
- 8.10.3 Halogens
- 8.10.4 Sulphur
- 8.10.5 Phosphorus
- 8.10.6 Oxygen
pp. 285–291
9.1
1 subtopic
- Saturated, unsaturated and aromatic hydrocarbons
pp. 295–296
9.2
5 subtopics
- 9.2.1 Nomenclature and isomerism
- 9.2.2 Preparation
- 9.2.3 Properties
- Free radical halogenation
- 9.2.4 Conformations
pp. 296–306
9.3
7 subtopics
- 9.3.1 Structure of double bond
- 9.3.2 Nomenclature
- 9.3.3 Isomerism
- 9.3.4 Preparation
- 9.3.5 Properties
- Markovnikov’s rule and the peroxide effect
- Ozonolysis
pp. 306–314
9.4
5 subtopics
- 9.4.1 Nomenclature and isomerism
- 9.4.2 Structure of triple bond
- 9.4.3 Preparation
- 9.4.4 Properties
- Acidic character of alkynes
pp. 314–318
9.5
7 subtopics
- 9.5.1 Nomenclature and isomerism
- 9.5.2 Structure of benzene
- 9.5.3 Aromaticity
- 9.5.4 Preparation of benzene
- 9.5.5 Properties
- Friedel-Crafts alkylation and acylation
- 9.5.6 Directive influence of a functional group in monosubstituted benzene
pp. 318–325
9.6
Carcinogenicity and toxicity
Not in JEE Main
p. 325
Mathematics
14 chapters 62 topics 60 in JEE Main
1.2
2 subtopics
- Roster form
- Set-builder form
pp. 1–5
1.3
pp. 5–6
1.4
pp. 6–7
1.5
pp. 7–9
1.6
2 subtopics
- 1.6.1 Subsets of set of real numbers
- 1.6.2 Intervals as subsets of R
pp. 9–12
2 subtopics
- The power set of a set
- Number of elements in a power set
1.7
pp. 12–13
1.8
p. 13
1.9
4 subtopics
- 1.9.1 Union of sets
- 1.9.2 Intersection of sets
- 1.9.3 Difference of sets
- Algebraic properties of union and intersection
pp. 13–18
1.10
2 subtopics
- Properties of complement
- De Morgan’s laws
pp. 18–20
NCERT Mathematics, Chapter 2
Relations and Functions
JEE Main Unit 1: Sets, Relations and Functions
JEE Main Unit 7: Limit, Continuity and Differentiability
2.2
2 subtopics
- Ordered pairs
- Number of elements in a Cartesian product
pp. 24–28
2.3
2 subtopics
- Domain, codomain and range of a relation
- Number of relations between two sets
pp. 28–30
2.4
3 subtopics
- Domain and range of a real function
- 2.4.1 Some functions and their graphs
- 2.4.2 Algebra of real functions
pp. 30–38
3.2
4 subtopics
- 3.2.1 Degree measure
- 3.2.2 Radian measure
- 3.2.3 Relation between radian and real numbers
- 3.2.4 Relation between degree and radian
pp. 43–49
3.3
2 subtopics
- 3.3.1 Sign of trigonometric functions
- 3.3.2 Domain and range of trigonometric functions
pp. 49–57
3.4
Sum and difference formulas
NCERT: Trigonometric Functions of Sum and Difference of Two Angles
3 subtopics
- Sum and difference formulas
- Double and triple angle formulas
- Sum-to-product and product-to-sum formulas
pp. 57–68
NCERT Mathematics, Chapter 4
Complex Numbers and Quadratic Equations
JEE Main Unit 2: Complex Numbers and Quadratic Equations
4.1–4.2
3 subtopics
- The imaginary unit i
- Real and imaginary parts
- Equality of complex numbers
pp. 76–77
4.3
7 subtopics
- 4.3.1 Addition of two complex numbers
- 4.3.2 Difference of two complex numbers
- 4.3.3 Multiplication of two complex numbers
- 4.3.4 Division of two complex numbers
- 4.3.5 Power of i
- 4.3.6 The square roots of a negative real number
- 4.3.7 Identities
pp. 77–81
4.4
3 subtopics
- Modulus
- Conjugate
- Multiplicative inverse
pp. 81–83
4.5
3 subtopics
- Plotting complex numbers
- Modulus as the distance from the origin
- Conjugate as the mirror image in the real axis
pp. 83–84
Argument and polar form
Beyond NCERT
In the JEE Main syllabus; the 2026–27 book names polar representation in a heading only.
2 subtopics
- Argument (amplitude) of a complex number
- Polar form r(cos θ + i sin θ)
Quadratic equations
Beyond NCERT
Studied in earlier classes (4.1 says so); the 2026–27 Class 11 book has no section on it.
4 subtopics
- Solving quadratic equations with real and complex roots
- Nature of roots and the discriminant
- Relations between roots and coefficients
- Forming a quadratic equation from its roots
5.1–5.2
1 subtopic
- Strict and slack inequalities
pp. 89–90
5.3
Solving linear inequalities
NCERT: Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
2 subtopics
- Rules for solving inequalities
- Graphing solutions on the number line
pp. 91–96
NCERT Mathematics, Chapter 6
Permutations and Combinations
JEE Main Unit 4: Permutations and Combinations
6.1–6.2
1 subtopic
- Multiplication principle
pp. 100–104
6.3
4 subtopics
- 6.3.1 Permutations when all the objects are distinct
- 6.3.2 Factorial notation
- 6.3.3 Derivation of the formula for P
- 6.3.4 Permutations when all the objects are not distinct objects
pp. 104–114
6.4
2 subtopics
- Formula for C
- Properties of C
pp. 114–119
NCERT Mathematics, Chapter 7
Binomial Theorem
JEE Main Unit 5: Binomial Theorem and its Simple Applications
7.1–7.2
3 subtopics
- Pascal’s triangle
- 7.2.1 Binomial theorem for any positive integer n
- 7.2.2 Some special cases
pp. 126–133
General and middle terms
Beyond NCERT
Listed in JEE Main Unit 5; the 2026–27 NCERT book has no section on it.
3 subtopics
- The general term of (a + b)
- The middle term or terms
- Finding a given term or coefficient
8.2
2 subtopics
- Finite and infinite sequences
- The general term of a sequence
pp. 135–137
8.3
1 subtopic
- Sigma notation
pp. 137–139
Arithmetic progression
Beyond NCERT
The nth term and sum are Class 10 (8.1 says so); arithmetic means are not explained in the 2026–27 Class 11 book.
3 subtopics
- nth term of an A.P.
- Sum of n terms of an A.P.
- Arithmetic mean and inserting A.M.s
8.4
4 subtopics
- 8.4.1 General term of a G.P.
- 8.4.2 Sum to n terms of a G.P.
- 8.4.3 Geometric mean (G.M.)
- Inserting G.M.s between two numbers
pp. 139–144
8.5
A.M. and G.M.
NCERT: Relationship Between A.M. and G.M.
1 subtopic
- A.M. ≥ G.M.
pp. 144–147
9.1
Coordinate geometry basics
NCERT: Introduction
5 subtopics
- Distance formula
- Section formula
- Mid-point formula
- Area of a triangle
- Collinear points (area of the triangle is zero)
pp. 151–152
2 subtopics
- What a locus is
- Finding the equation of a locus
9.2
3 subtopics
- 9.2.1 Slope of a line when coordinates of any two points on the line are given
- 9.2.2 Conditions for parallelism and perpendicularity of lines in terms of their slopes
- 9.2.3 Angle between two lines
pp. 152–159
9.3
Forms of the equation of a line
NCERT: Various Forms of the Equation of a Line
6 subtopics
- 9.3.1 Horizontal and vertical lines
- 9.3.2 Point-slope form
- 9.3.3 Two-point form
- 9.3.4 Slope-intercept form
- 9.3.5 Intercept-form
- General equation of a line Ax + By + C = 0
pp. 159–164
9.4
1 subtopic
- 9.4.1 Distance between two parallel lines
pp. 164–168
Intersection of lines and triangle centres
Beyond NCERT
Not a section of the book; chapter 9’s Miscellaneous Example 11 and exercises use concurrent lines.
3 subtopics
- Point of intersection of two lines
- Condition for three lines to be concurrent
- Centroid, orthocentre and circumcentre of a triangle
10.1–10.2
2 subtopics
- 10.2.1 Circle, ellipse, parabola and hyperbola
- 10.2.2 Degenerated conic sections
pp. 176–179
10.3
2 subtopics
- Standard equation of a circle
- Centre and radius from the equation
pp. 179–181
Circle: diameter form and a line
Beyond NCERT
Listed in JEE Main Unit 10; the 2026–27 NCERT book has no section on it.
2 subtopics
- Equation of a circle with given ends of a diameter
- Points where a line meets a circle
10.4
2 subtopics
- 10.4.1 Standard equations of parabola
- 10.4.2 Latus rectum
pp. 182–187
10.5
4 subtopics
- 10.5.1 Relationship between semi-major axis, semi-minor axis and the distance of the focus from the centre of the ellipse
- 10.5.2 Eccentricity
- 10.5.3 Standard equations of an ellipse
- 10.5.4 Latus rectum
pp. 187–195
10.6
3 subtopics
- 10.6.1 Eccentricity
- 10.6.2 Standard equation of hyperbola
- 10.6.3 Latus rectum
pp. 195–202
NCERT Mathematics, Chapter 11
Introduction to Three Dimensional Geometry
JEE Main Unit 11: Three Dimensional Geometry
11.1–11.2
Coordinate axes and planes
NCERT: Introduction; Coordinate Axes and Coordinate Planes in Three Dimensional Space
1 subtopic
- Octants
pp. 208–209
11.3
1 subtopic
- Points on the axes and planes
pp. 209–211
11.4
1 subtopic
- Distance formula in three dimensions
pp. 211–213
Section formula in 3D
Beyond NCERT
Listed in JEE Main Unit 11; the Class 11 book has no section on it, and NCERT Class 12 (10.5.3) gives its vector form.
2 subtopics
- Dividing a line segment in a given ratio
- Mid-point and centroid in space
NCERT Mathematics, Chapter 12
Limits and Derivatives
JEE Main Unit 7: Limit, Continuity and Differentiability
12.1–12.2
1 subtopic
- Instantaneous velocity as a limit
pp. 217–220
12.3
3 subtopics
- Left-hand and right-hand limits
- 12.3.1 Algebra of limits
- 12.3.2 Limits of polynomials and rational functions
pp. 220–233
12.4
2 subtopics
- The limit of sin x / x
- Sandwich theorem
pp. 234–239
12.5
3 subtopics
- Derivative from first principles
- 12.5.1 Algebra of derivative of functions
- 12.5.2 Derivative of polynomials and trigonometric functions
pp. 239–249
13.1
Mean, median and mode
NCERT: Introduction
Studied in earlier classes; 13.1 and 13.4.2 recap mean and median, and the book does not compute the mode.
2 subtopics
- Mean, median and mode (recap)
- Why an average is not enough
pp. 257–258
Mode
Beyond NCERT
Listed in JEE Main Unit 13 (“mean, median, mode of grouped and ungrouped data”); the 2026–27 Class 11 book does not compute the mode.
3 subtopics
- Mode of ungrouped data
- Modal class
- Mode of grouped data: l + (f − f)h/(2f − f − f)
13.2
1 subtopic
- Range, quartile deviation, mean deviation and standard deviation
p. 259
13.3
p. 259
13.4
3 subtopics
- 13.4.1 Mean deviation for ungrouped data
- 13.4.2 Mean deviation for grouped data
- 13.4.3 Limitations of mean deviation
pp. 259–271
13.5
Variance and SD
NCERT: Variance and Standard Deviation
4 subtopics
- 13.5.1 Standard deviation
- 13.5.2 Standard deviation of a discrete frequency distribution
- 13.5.3 Standard deviation of a continuous frequency distribution
- 13.5.4 Shortcut method to find variance and standard deviation
pp. 271–282
14.1
5 subtopics
- 14.1.1 Occurrence of an event
- 14.1.2 Types of events
- 14.1.3 Algebra of events
- 14.1.4 Mutually exclusive events
- 14.1.5 Exhaustive events
pp. 289–295
14.2
Axiomatic probability
NCERT: Axiomatic Approach to Probability
4 subtopics
- 14.2.1 Probability of an event
- 14.2.2 Probabilities of equally likely outcomes
- 14.2.3 Probability of the event ‘A or B’
- 14.2.4 Probability of event ‘not A’
pp. 295–308
Sources
Syllabus for JEE (Main) 2027, Paper 1 (B.E./B.Tech.) (opens in a new tab), National Testing Agency.
The NCERT Class 11 books, reprint 2026-27: Physics Part I, Physics Part II, Chemistry Part I, Chemistry Part II and Mathematics, from ncert.nic.in.
Chapters, units, sections, sub-sections and pages checked against these on 26 Oct 2026.