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JEE ADVANCED Exam Preparation Program

About JEE Advanced

The Joint Entrance Examination – Advanced (JEE-Advanced) is an annual, highly competitive academic examination in India. It is the second stage of the Joint Entrance Examination and serves as the primary assessment for entrance to the Indian Institutes of Technology (IITs) and various other engineering colleges across the country.

The test evaluates applicants’ knowledge and skills in physics, chemistry, and mathematics. It is organized on a round-robin rotation basis by one of the seven zonal IITs: IIT Delhi, IIT Kanpur, IIT Bombay, IIT Madras, IIT Roorkee, IIT Kharagpur, and IIT Guwahati, for candidates who have qualified in the JEE Main.

Difference Between JEE Main and JEE Advanced

For students aspiring to secure admission into India’s premier engineering colleges, mastering the differences between JEE Main and JEE Advanced is a vital first step. These examinations mark the beginning of a demanding, yet ultimately rewarding, academic journey.

JEE Main serves as the qualifying entrance exam for admission to institutions such as NITs, IIITs, and other Government-Funded Technical Institutions (GFTIs). In contrast, JEE Advanced is the exclusive gateway to the highly prestigious Indian Institutes of Technology (IITs), renowned for their stringent academic standards and emphasis on innovation and creativity.

Though the two exams are intrinsically linked, they differ significantly across multiple critical aspects, including eligibility criteria, difficulty levels, syllabus scope, examination structure, and the range of institutions that accept their scores. A comprehensive comparison is therefore essential for aspirants to clearly distinguish between JEE Main and JEE Advanced and to formulate an effective preparation strategy.

The Acadmiac Advantage

Acadmiac’s JEE (Advanced) Preparation Program is designed for high-performing aspirants aiming for admission into the Indian Institutes of Technology (IITs). The program focuses on advanced-level conceptual mastery, complex problem-solving, and strategic exam readiness aligned with the demanding pattern of JEE (Advanced).

  • Dedicated guidance from experienced faculty.
  • Balanced academic schedule with clarity and consistency.
  • Emphasis on discipline, routine, and exam readiness.
  • Academic and personal support to manage preparation stress.

Acadmiac gets aspirants ready for more than just JEE (Advanced). With a mix of rigorous academics, organized study plans, and constant support for their physical and mental health, too, we set students up for success throughout their engineering careers.

JEE ADVANCED 2026: Important Highlights

Exam NameJoint Entrance Examination (JEE 2026)
Conducting BodyIndian Institute of Technology Roorkee (IIT Roorkee)
JEE ADVANCED 2026 Registration DatesThursday, April 23, 2026 (10:00 IST)
to
Saturday, May 02, 2026 (23:59 IST)
JEE ADVANCED 2026 Admit Card Release DateMonday, May 11, 2026 
JEE ADVANCED 2026 Exam DateSunday, May 17, 2026
Declaration of NEET ADVANCED 2026 ResultMonday, June 01, 2026
Official SiteJEE (ADVANCED) 2026 | IIT Roorkee

JEE ADVANCED 2026 Eligibility Criteria

JEE Main 2026 ScoresAll candidates, regardless of category, must secure a ranking among the top 2,50,000 in the JEE Main 2026 B.E/B.Tech. Paper 1.
Educational QualificationCandidates must have passed or be appearing in the 10+2 or equivalent examination from a recognized board with Physics, Chemistry, and Mathematics as main subjects.
Minimum Marks Required75% aggregate for General category candidates and 65% for OBC/SC/ST/PwD categories 
Minimum Age RequirementNo Specific Age Limit
Number of Attempts
A candidate is limited to a maximum of two attempts over two consecutive years.

JEE (ADVANCED) 2026 Exam Pattern

TOPICDETAILS
Mode of the examinationComputer-based examination
Medium of the examinationHindi & English
Number of TestsPaper 1 and Paper 2
Total time duration3 hours for each paper (4 hours for PwD candidates)
Number of sections3 sections for Paper 1 & 2
PhysicsChemistryMathematics 
Total questions 51 (17 questions in each subject) 
Marking SchemeFull, Partial, Zero, and Negative Marks Concepts

JEE (ADVANCED) 2026 Syllabus

Physics


General

  • Units and dimensions
  • Dimensional analysis
  • Least count and significant figures
  • Measurement techniques and error analysis
Experimental Topics
  • Vernier callipers and screw gauge
  • Determination of acceleration due to gravity (g) using a simple pendulum
  • Young’s modulus (elasticity of material)
  • Surface tension by capillary rise (effect of detergents)
  • Specific heat of a liquid using a calorimeter
  • Focal length of concave mirror and convex lens (u–v method)
  • Speed of sound using a resonance column
  • Verification of Ohm’s law
  • Specific resistance using the meter bridge and post office box

Mechanics

Kinematics
  • Motion in one and two dimensions (Cartesian coordinates)
  • Projectile motion
  • Uniform circular motion
  • Relative velocity
Laws of Motion
  • Newton’s laws of motion
  • Inertial and accelerated frames
  • Static and dynamic friction
  • Work, energy and power
  • Conservation of momentum and energy
System of Particles
  • Centre of mass
  • Impulse
  • Elastic and inelastic collisions
Rotational Motion
  • Rigid body motion
  • Moment of inertia
  • Parallel and perpendicular axis theorems
  • Angular momentum and torque
  • Conservation of angular momentum
  • Rolling motion
  • Equilibrium of rigid bodies
  • Collision with rigid bodies
Oscillations
  • Forced and damped oscillations
  • Resonance
  • Simple harmonic motion (linear and angular)
  • Hooke’s law
  • Young’s modulus
Gravitation
  • Universal law of gravitation
  • Gravitational field and potential
  • Acceleration due to gravity
  • Kepler’s laws
  • Geostationary satellites
  • Circular orbital motion
  • Escape velocity
Fluid Mechanics
  • Pressure in fluids
  • Pascal’s law
  • Buoyancy
  • Surface tension and surface energy
  • Angle of contact
  • Capillary rise
  • Viscosity
  • Stoke’s law
  • Terminal velocity
  • Streamline flow
  • Equation of continuity
  • Bernoulli’s theorem
Waves
  • Plane waves
  • Longitudinal and transverse waves
  • Superposition principle
  • Progressive and stationary waves
  • Vibrations of strings and air columns
  • Resonance and beats
  • Speed of sound
  • Doppler effect (sound)

Thermal Physics

  • Thermal expansion (solids, liquids, gases)
  • Calorimetry and latent heat
  • Heat conduction (1D)
  • Convection and radiation
  • Newton’s law of cooling
  • Ideal gas laws
  • Specific heats (Cv and Cp)
  • Isothermal and adiabatic processes
  • First law of thermodynamics
  • Second law of thermodynamics
  • Carnot engine and efficiency
  • Blackbody radiation
  • Kirchhoff’s law
  • Wien’s displacement law
  • Stefan’s law

Electricity and Magnetism

Electrostatics
  • Coulomb’s law
  • Electric field and potential
  • Electric dipole
  • Electric flux
  • Gauss’s law (applications)
Capacitance
  • Parallel plate capacitor
  • Capacitors in series and parallel
  • Energy stored in a capacitor
Current Electricity
  • Electric current and Ohm’s law
  • Series and parallel circuits
  • Kirchhoff’s laws
  • The heating effect of the current
Magnetism
  • Biot–Savart law
  • Ampere’s law
  • Magnetic field of:
    • Straight wire
    • Circular coil
    • Solenoid
  • Force on a moving charge and a current-carrying wire
  • Magnetic moment of a current loop
  • Moving coil galvanometer
  • Conversion to a voltmeter and an ammeter
Electromagnetic Induction
  • Faraday’s law
  • Lenz’s law
  • Self and mutual inductance
  • RC, LR, LC, and LCR circuits (AC and DC)

Electromagnetic Waves

  • Nature and characteristics of electromagnetic waves
  • Electromagnetic spectrum:
    • Radio waves
    • Microwaves
    • Infrared
    • Visible light
    • Ultraviolet
    • X-rays
    • Gamma rays
  • Basic uses of each region

Optics

Ray Optics
  • Rectilinear propagation of light
  • Reflection and refraction
  • Total internal reflection
  • Prism (deviation and dispersion)
  • Thin lenses
  • Combination of lenses and mirrors
  • Magnification
Wave Optics
  • Huygens’ principle
  • Young’s double slit experiment
  • Single slit diffraction
  • Polarization
  • Brewster’s law
  • Polaroids

Modern Physics

  • Structure of an atomic nucleus
  • Alpha, beta, and gamma radiations
  • Radioactive decay law
  • Decay constant
  • Half-life and mean life
  • Binding energy
  • Nuclear fission and fusion
Atomic Physics
  • Photoelectric effect
  • Bohr’s model of the hydrogen atom
  • X-rays (characteristic and continuous)
  • Moseley’s law
  • de Broglie wavelength

Chemistry


General Topics

  • Concept of atoms and molecules
  • Dalton’s atomic theory
  • Mole concept
  • Chemical formulae
  • Balanced chemical equations
  • Calculations based on the mole concept and stoichiometry
    • Oxidation–reduction reactions
    • Neutralisation reactions
    • Displacement reactions
  • Concentration terms:
    • Mole fraction
    • Molarity
    • Molality
    • Normality

States of Matter: Gases and Liquids

Gaseous State
  • Gas laws and the ideal gas equation
  • Absolute scale of temperature
  • Deviation from ideality
  • van der Waals equation
  • Kinetic theory of gases
    • Average velocity
    • Root mean square velocity
    • Most probable velocity
    • Relation with temperature
  • Law of partial pressures
  • Diffusion of gases

Intermolecular Interactions & Liquids

  • Types of intermolecular interactions
  • Distance dependence of intermolecular forces
  • Effect on physical properties
  • Vapour pressure
  • Surface tension
  • Viscosity

Atomic Structure

  • Bohr model
  • Spectrum of hydrogen atom
  • Wave–particle duality
  • de Broglie hypothesis
  • Heisenberg uncertainty principle
  • Quantum mechanical model of hydrogen atom (qualitative)
    • Energies
    • Quantum numbers
    • Wave function and probability density (plots only)
    • Shapes of s, p and d orbitals
  • Aufbau principle
  • Pauli’s exclusion principle
  • Hund’s rule

Chemical Bonding and Molecular Structure

  • Orbital overlap and covalent bond
  • Hybridisation (s, p and d orbitals only)
  • Molecular orbital energy diagrams (homonuclear diatomic species up to Ne₂)
  • Hydrogen bonding
  • Polarity of molecules
  • Dipole moment
  • VSEPR model
  • Shapes of molecules:
    • Linear
    • Angular
    • Trigonal planar
    • Square planar
    • Pyramidal
    • Square pyramidal
    • Trigonal bipyramidal
    • Tetrahedral
    • Octahedral

Chemical Thermodynamics

  • Intensive and extensive properties
  • State functions
  • First law of thermodynamics
  • Internal energy
  • Work (pressure–volume work only)
  • Heat
  • Enthalpy
  • Heat capacity
  • Standard state
  • Hess’s law
  • Enthalpy of reaction, fusion, vaporization, lattice enthalpy
  • Second law of thermodynamics
  • Entropy
  • Gibbs free energy
  • Criteria for equilibrium and spontaneity

Chemical and Ionic Equilibrium

Chemical Equilibrium
  • Law of mass action
  • Significance of ΔG and ΔG°
  • Equilibrium constant (Kp and Kc)
  • Reaction quotient
  • Le Chatelier’s principle
    • Effect of concentration
    • Effect of temperature
    • Effect of pressure
Ionic Equilibrium
  • Solubility product (Ksp) and applications
  • Common ion effect
  • pH and buffer solutions
  • Acids and bases (Brønsted and Lewis concepts)
  • Hydrolysis of salts

Electrochemistry

  • Electrochemical cells and cell reactions
  • Standard electrode potentials
  • Electrochemical work
  • Nernst equation
  • Electrochemical series
  • EMF of galvanic cells
  • Faraday’s laws of electrolysis
  • Electrolytic conductance
    • Specific conductivity
    • Equivalent conductivity
    • Molar conductivity
  • Kohlrausch’s law
  • Batteries:
    • Primary batteries
    • Secondary batteries
    • Fuel cells
  • Corrosion

Chemical Kinetics

  • Rate of chemical reactions
  • Order and molecularity
  • Rate law
  • Rate constant
  • Half-life
  • Differential and integrated rate equations
    • Zero order reactions
    • First order reactions
  • Temperature dependence of rate constant
    • Arrhenius equation
    • Activation energy
  • Catalysis:
    • Homogeneous catalysis
    • Heterogeneous catalysis
    • Activity and selectivity of solid catalysts
    • Enzyme catalysis and its mechanism

Solid State

  • Classification of solids
  • Crystalline state
  • Seven crystal systems
    • Cell parameters: a, b, c
    • Angles: α, β, γ
  • Close-packed structures of solids
    • Cubic close packing (ccp/fcc)
    • Hexagonal close packing (hcp)
  • Packing in:
    • Face-centred cubic (fcc)
    • Body-centred cubic (bcc)
    • Hexagonal close-packed (hcp) lattices
  • Nearest neighbours
  • Ionic radii and radius ratio
  • Point defects

Solutions

  • Henry’s law
  • Raoult’s law
  • Ideal and non-ideal solutions
  • Colligative properties:
    • Lowering of the vapour pressure
    • Elevation of boiling point
    • Depression of freezing point
    • Osmotic pressure
  • van’t Hoff factor

Surface Chemistry

Adsorption
  • Elementary concepts of adsorption
  • Physisorption
  • Chemisorption
  • Freundlich adsorption isotherm
Colloids
  • Types of colloids
  • Methods of preparation
  • General properties
Emulsions & Micelles
  • Emulsions (definitions and examples)
  • Surfactants
  • Micelles

Classification of Elements and Periodicity in Properties

  • Modern periodic law
  • Present form of the periodic table
  • Electronic configuration of elements
  • Periodic trends in:
    • Atomic radius
    • Ionic radius
    • Ionization enthalpy
    • Electron gain enthalpy
    • Valence
    • Oxidation states
    • Electronegativity
    • Chemical reactivity

Hydrogen

  • Position of hydrogen in the periodic table
  • Occurrence and isotopes
  • Preparation, properties, and uses of hydrogen
  • Hydrides:
    • Ionic hydrides
    • Covalent hydrides
    • Interstitial hydrides
  • Physical and chemical properties of water
  • Heavy water
  • Hydrogen peroxide:
    • Preparation
    • Reactions
    • Uses
    • Structure
  • Hydrogen as a fuel

s-Block Elements

Alkali and Alkaline Earth Metals

  • Reactivity towards:
    • Air
    • Water
    • Dihydrogen
    • Halogens
    • Acids
  • Reducing nature (including solutions in liquid ammonia)
  • Uses of these elements

Compounds

  • General characteristics of:
    • Oxides
    • Hydroxides
    • Halides
    • Salts of oxoacids

Anomalous Behaviour

  • Lithium
  • Beryllium

Important Compounds

Sodium Compounds:
  • Sodium carbonate
  • Sodium chloride
  • Sodium hydroxide
  • Sodium hydrogen carbonate
Calcium Compounds:
  • Calcium oxide
  • Calcium hydroxide
  • Calcium carbonate
  • Calcium sulphate

(Preparation, properties, and uses)


p-Block Elements

General Trends (Groups 13–17)

  • Oxidation states
  • Trends in chemical reactivity
  • Anomalous properties of:
    • Boron
    • Carbon
    • Nitrogen
    • Oxygen
    • Fluorine

Group 13

  • Reactivity towards acids, alkalis, halogens
  • Preparation, properties, and uses of:
    • Borax
      Orthoboric acid
    • Diborane
    • Boron trifluoride
    • Aluminium chloride
    • Alums
  • Uses of boron and aluminium

Group 14

  • Reactivity towards water and halogens
  • Allotropes of carbon and their uses
  • Preparation, properties, and uses of:
    • Carbon monoxide
    • Carbon dioxide
    • Silicon dioxide
    • Silicones
    • Silicates
    • Zeolites

Group 15

  • Reactivity towards hydrogen, oxygen, halogens
  • Allotropes of phosphorus
  • Preparation, properties, and uses of:
    • Dinitrogen
    • Ammonia
    • Nitric acid
    • Phosphine
    • Phosphorus trichloride
    • Phosphorus pentachloride
  • Oxides of nitrogen
  • Oxoacids of phosphorus

Group 16

  • Reactivity towards hydrogen, oxygen, halogens
  • Simple oxides
  • Allotropes of sulphur
  • Preparation/manufacture, properties, and uses of:
    • Dioxygen
    • Ozone
    • Sulphur dioxide
    • Sulphuric acid
  • Oxoacids of sulphur

Group 17

  • Reactivity towards hydrogen, oxygen, metals
  • Preparation/manufacture, properties, and uses of:
    • Chlorine
    • Hydrogen chloride
    • Interhalogen compounds
  • Oxoacids of halogens
  • Bleaching powder

Group 18

  • Chemical properties and uses
  • Compounds of xenon with fluorine and oxygen

d-Block Elements

  • Oxidation states and their stability
  • Standard electrode potentials
  • Interstitial compounds
  • Alloys
  • Catalytic properties
  • Applications
  • Preparation, structure, and reactions of oxoanions of:
    • Chromium
    • Manganese

f-Block Elements

  • Lanthanoid contraction
  • Actinoid contraction
  • Oxidation states
  • General characteristics

Coordination Compounds

  • Werner’s theory
  • Nomenclature
  • Isomerism:
    • Cis–trans isomerism
    • Ionization isomerism
  • Hybridisation and geometries of mononuclear coordination compounds:
    • Linear
    • Tetrahedral
    • Square planar
    • Octahedral
  • Bonding:
    • Valence Bond Theory (VBT)
    • Crystal Field Theory (CFT) (octahedral and tetrahedral fields)
  • Magnetic properties (spin-only formula)
  • Colour of 3d-series coordination compounds
  • Ligands and spectrochemical series
  • Stability of coordination compounds
  • Importance and applications
  • Metal carbonyls

Isolation of Metals

  • Metal ores and their concentration
  • Extraction of crude metal from concentrated ores:
    • Thermodynamic principles (Iron, Copper, Zinc)
    • Electrochemical principles (Aluminium)
  • Cyanide process (Silver and Gold)
  • Refining of metals

Principles of Qualitative Analysis

Cations (Groups I to V)

  • Ag⁺
  • Hg₂²⁺
  • Cu²⁺
  • Pb²⁺
  • Fe³⁺
  • Cr³⁺
  • Al³⁺
  • Ca²⁺
  • Ba²⁺
  • Zn²⁺
  • Mn²⁺
  • Mg²⁺

Anions

  • Nitrate
  • Halides (excluding fluoride)
  • Carbonate and bicarbonate
  • Sulphate
  • Sulphide

Environmental Chemistry

  • Atmospheric pollution
  • Water pollution
  • Soil pollution
  • Industrial waste
  • Strategies to control environmental pollution
  • Green chemistry

Organic Chemistry


Basic Principles of Organic Chemistry

  • Hybridisation of carbon
  • Sigma (σ) and pi (π) bonds
  • Shapes of simple organic molecules
  • Aromaticity
  • Structural and geometrical isomerism
  • Stereoisomerism:
    • Enantiomers
    • Diastereomers
    • Meso compounds
      (R,S and E,Z configurations excluded)
  • Determination of empirical and molecular formulae (combustion method only)
  • IUPAC nomenclature:
    • Hydrocarbons
    • Simple cyclic hydrocarbons
    • Mono-functional and bi-functional derivatives
  • Hydrogen bonding effects
  • Electronic effects:
    • Inductive effect
    • Resonance
    • Hyperconjugation
  • Acidity and basicity of organic compounds
  • Reactive intermediates:
    • Carbocations
    • Carbanions
    • Free radicals
  • Homolytic and heterolytic bond cleavage

Alkanes

  • Homologous series
  • Physical properties:
    • Melting points
    • Boiling points
    • Density
    • Effect of branching
  • Conformations:
    • Ethane (Newman projection)
    • Butane (Newman projection)
  • Preparation:
    • From alkyl halides
    • From aliphatic carboxylic acids
  • Reactions:
    • Combustion
    • Halogenation (including allylic and benzylic halogenation)
    • Oxidation

Alkenes and Alkynes

  • Physical properties:
    • Boiling points
    • Density
    • Dipole moments
  • Preparation by elimination reactions
  • Acid-catalysed hydration (stereochemistry excluded)
  • Metal acetylides
  • Reactions:
    • With KMnO₄
    • With ozone (ozonolysis)
    • Reduction
    • Electrophilic addition with X₂, HX, HOX (X = halogen)
    • Peroxide effect
  • Cyclic polymerisation of alkynes

Benzene

  • Structure of benzene
  • Electrophilic substitution reactions:
    • Halogenation
    • Nitration
    • Sulphonation
    • Friedel–Crafts alkylation
    • Friedel–Crafts acylation
  • Effect of directing groups (monosubstituted benzene)

Phenols

  • Physical properties
  • Preparation
  • Electrophilic substitution reactions:
    • Halogenation
    • Nitration
    • Sulphonation
  • Reimer–Tiemann reaction
  • Kolbe reaction
  • Esterification
  • Etherification
  • Aspirin synthesis
  • Oxidation and reduction reactions

Alkyl Halides

  • Rearrangement reactions of alkyl carbocation
  • Grignard reactions
  • Nucleophilic substitution reactions
  • Stereochemical aspects of substitution

Alcohols

  • Physical properties
  • Reactions:
    • Esterification
    • Dehydration (formation of alkenes and ethers)
    • Reaction with sodium
    • Reaction with phosphorus halides
    • Reaction with ZnCl₂/concentrated HCl
    • Reaction with thionyl chloride
  • Conversion of alcohols into:
    • Aldehydes
    • Ketones
    • Carboxylic acids

Ethers

  • Preparation by Williamson’s synthesis
  • C–O bond cleavage reactions

Aldehydes and Ketones

Preparation:
  • From acid chlorides and nitriles
  • Aldehydes from esters
  • Benzaldehyde from toluene and benzene
Reactions:
  • Oxidation and reduction
  • Oxime and hydrazone formation
  • Aldol condensation
  • Cannizzaro reaction
  • Haloform reaction
  • Nucleophilic addition reactions with RMgX, NaHSO₃, HCN, alcohols, and amines

Carboxylic Acids

Physical Properties

Preparation:

  • From nitriles
  • From Grignard reagents
  • Hydrolysis of esters and amides
  • Preparation of benzoic acid from alkylbenzenes

Reactions:

  • Reduction
  • Halogenation
  • Formation of esters
  • Formation of acid chlorides
  • Formation of amides

Amines

Preparation:

  • From nitro compounds
  • From nitriles
  • From amides

Reactions:

  • Hoffmann bromamide degradation
  • Gabriel phthalimide synthesis
  • Reaction with nitrous acid
  • Azo coupling reaction of diazonium salts of aromatic amines
  • Sandmeyer and related reactions of diazonium salts
  • Carbylamine reaction
  • Hinsberg test
  • Alkylation and acylation reactions

Haloarenes

Reactions:

  • Fittig reaction
  • Wurtz–Fittig reaction
  • Nucleophilic aromatic substitution in haloarenes and substituted haloarenes
    (excluding benzyne mechanism and cine substitution)

Biomolecules

Carbohydrates:

  • Classification
  • Monosaccharides and disaccharides (glucose and sucrose)
  • Oxidation and reduction
  • Glycoside formation
  • Hydrolysis of disaccharides (sucrose, maltose, lactose)
  • Anomers
Proteins:
  • Amino acids
  • Peptide linkage
  • Structure of peptides (primary and secondary)
  • Types: fibrous and globular proteins
Nucleic Acids:
  • Chemical composition and structure of DNA and RNA

Polymers

  • Types of polymerization: addition and condensation
  • Homopolymers and copolymers
  • Natural rubber and cellulose
  • Nylon, Teflon, Bakelite, PVC
  • Biodegradable polymers
  • Applications of polymers

Chemistry in Everyday Life

  • Drug–target interaction
  • Therapeutic action and examples (structures excluded) of:
    • Antacids
    • Antihistamines
    • Tranquilizers
    • Analgesics
    • Antimicrobials
    • Antifertility drugs
  • Artificial sweeteners (names only)
  • Soaps, detergents, and cleansing action

Practical Organic Chemistry

  • Detection of elements: nitrogen, sulphur, and halogens
  • Detection and identification of functional groups:
    • Hydroxyl (alcoholic and phenolic)
    • Carbonyl (aldehyde and ketone)
    • Carboxyl
    • Amino
    • Nitro

Mathematics


Sets, Relations and Functions

Sets:

  • Representation of sets
  • Types of sets: empty, finite, infinite
  • Algebra of sets
  • Union, intersection, complement, difference, symmetric difference
  • Algebraic properties of set operations
  • De Morgan’s laws (for a finite number of sets)
  • Practical problems based on set operations

Relations:

  • Cartesian product of finite sets
  • Ordered pairs
  • Domain and codomain
  • Equivalence relation

Functions:

  • Function as a special case of relation
  • Functions as mappings
  • Domain, codomain and range
  • One-to-one, onto, into functions
  • Even and odd functions
  • Invertible functions
  • Special functions:
    • Polynomial
    • Trigonometric
    • Exponential
    • Logarithmic
    • Power
    • Absolute value
    • Greatest integer
  • Sum, difference, product, and composition of functions

Algebra

Complex Numbers:

  • Algebra of complex numbers
  • Addition, multiplication, conjugation
  • Polar representation
  • Modulus and principal argument
  • Triangle inequality
  • Cube roots of unity
  • Geometric interpretation

Quadratic Equations:

  • Fundamental Theorem of Algebra (statement only)
  • Quadratic equations with real coefficients
  • Relations between roots and coefficients
  • Formation of quadratic equations
  • Symmetric functions of roots

Sequences and Series:

  • Arithmetic progression (AP)
  • Geometric progression (GP)
  • Arithmetic and geometric means
  • Sum of finite AP and GP
  • Infinite geometric series
  • Sum of the first n natural numbers
  • Sum of squares and cubes of the first n natural numbers

Other Topics:

  • Logarithms and their properties
  • Permutations and combinations
  • Binomial theorem (positive integral index)
  • Properties of binomial coefficients

Matrices

  • Matrices as rectangular arrays of real numbers
  • Equality of matrices
  • Addition and scalar multiplication
  • Matrix multiplication
  • Transpose of a matrix
  • Elementary row and column transformations
  • Determinant of a square matrix (order ≤ 3)
  • Adjoint and inverse of matrix (order ≤ 3)
  • Properties of matrix operations
  • Diagonal, symmetric, and skew-symmetric matrices
  • Solution of simultaneous linear equations (two or three variables)

Probability and Statistics

Probability:

  • Random experiments
  • Sample space
  • Types of events: impossible, simple, compound
  • Addition and multiplication rules
  • Conditional probability
  • Independence of events
  • Total probability
  • Bayes’ Theorem
  • Probability using permutations and combinations

Statistics:

  • Measures of central tendency: mean, median, mode
  • Measures of dispersion: mean deviation, variance, standard deviation
  • Grouped and ungrouped data
  • Frequency distribution (same mean, different variance)
  • Random variable
  • Mean and variance of a random variable

Trigonometry

  • Trigonometric functions
  • Periodicity and graphs
  • Addition and subtraction formulae
  • Multiple and sub-multiple angle formulae
  • General solutions of trigonometric equations
  • Inverse trigonometric functions (principal value only)
  • Elementary properties of inverse trigonometric functions

Analytical Geometry


Two Dimensions (2D)

Basic Coordinate Geometry:

  • Cartesian coordinates
  • Distance between two points
  • Section formula
  • Shift of origin

Straight Lines:

  • Equation of a straight line (various forms)
  • Angle between two lines
  • Distance of a point from a line
  • Lines through the intersection of two given lines
  • Angle bisectors between two lines
  • Concurrency of lines

Triangle Geometry:

  • Centroid
  • Orthocentre
  • Incentre
  • Circumcentre

Circle:

  • Equation of a circle (various forms)
  • Tangent, normal, and chord
  • Parametric equations
  • Intersection of:
    • Circle and line
    • Two circles
  • Circle through the intersection points of:
    • Two circles
    • Circle and line

Conic Sections:

  • Parabola (standard form, focus, directrix, eccentricity)
  • Ellipse (standard form, focus, directrix, eccentricity)
  • Hyperbola (standard form, focus, directrix, eccentricity)
  • Parametric equations
  • Tangent and normal equations

Three Dimensions (3D Geometry)

  • Distance between two points
  • Direction ratios and direction cosines
  • Equation of a straight line in space
  • Skew lines
  • Shortest distance between two lines
  • Equation of a plane
  • Distance of a point from a plane
  • Angle between:
    • Two lines
    • Two planes
    • Line and plane
  • Coplanar lines

Differential Calculus

Limits and Continuity
  • Limit of a function
  • Continuity of a function
  • Limit and continuity of sum, difference, product, and quotient
  • L’Hospital’s Rule
  • Continuity of composite functions
  • Intermediate Value Theorem
Differentiation
  • Derivative of a function
  • Derivatives of sum, difference, product, quotient
  • Chain rule
  • Derivatives of:
    • Polynomial
    • Rational
    • Trigonometric
    • Inverse trigonometric
    • Exponential
    • Logarithmic functions
Applications of Derivatives
  • Tangents and normals
  • Increasing and decreasing functions
  • Second-order derivatives
  • Maximum and minimum values
  • Rolle’s Theorem
  • Lagrange’s Mean Value Theorem
  • Geometric interpretation of theorems
  • Derivatives (up to second order) of implicit functions
  • Geometric interpretation of derivatives

Integral Calculus

Integration
  • Integration as the inverse of differentiation
  • Indefinite integrals of standard functions
  • Definite integrals as the limit of sums
  • Properties of definite integrals
  • Fundamental Theorem of Integral Calculus
Methods of Integration
  • Integration by parts
  • Substitution method
  • Partial fractions
Applications
  • Area bounded by simple curves
Differential Equations
  • Formation of ordinary differential equations
  • Homogeneous differential equations (first order, first degree)
  • Separation of variables
  • Linear first-order differential equations

Vectors

  • Addition of vectors
  • Scalar multiplication
  • Dot product
  • Cross product
  • Scalar triple product
  • Vector triple product
  • Geometrical interpretations of vector operations

JEE (ADVANCED) 2025 Cut Off

CategoryMinimum Qualifying Marks in Each SubjectMinimum Aggregate Marks
Common rank list (CRL)774
OBC-NCL rank list666
General EWS rank list666
SC rank list337
ST rank list337
Common PwD rank list337
OBC-NCL PwD rank list337
General-EWS PwD rank list337
SC PwD rank list337
ST PwD rank list337
Preparatory course (PC) rank lists118

JEE (ADVANCED) 2024 Cut Off

CategoryMinimum Qualifying Marks in Each SubjectMinimum Aggregate Marks
Common rank list (CRL)10109
OBC-NCL rank list998
General EWS rank list998
SC rank list554
ST rank list554
Common PwD rank list554
OBC-NCL PwD rank list554
General-EWS PwD rank list554
SC PwD rank list554
ST PwD rank list554
Preparatory course (PC) rank lists227

JEE (ADVANCED) 2023 Cut Off

CategoryMinimum Qualifying Marks in Each SubjectMinimum Aggregate Marks
Common rank list (CRL)886
OBC-NCL rank list777
General EWS rank list777
SC rank list443
ST rank list443
Common PwD rank list443
OBC-NCL PwD rank list443
General-EWS PwD rank list443
SC PwD rank list443
ST PwD rank list443
Preparatory course (PC) rank lists222

JEE (ADVANCED) 2022 Cut Off

CategoryMinimum Qualifying Marks in Each SubjectMinimum Aggregate Marks
Common rank list (CRL)555
OBC-NCL rank list550
General EWS rank list550
SC rank list328
ST rank list328
Common PwD rank list528
OBC-NCL PwD rank list328
General-EWS PwD rank list528
SC PwD rank list328
ST PwD rank list528
Preparatory course (PC) rank lists314

Frequently Asked Question

What is the aim of JEE Advanced?

JEE Advanced is an exam conducted for admission to IITs and a few premier institutes in India for engineering, science, and architecture courses.

Who is conducting JEE Advanced 2026?

The organizing institute for JEE Advanced 2026 is IIT Roorkee.

How is JEE Advanced different from JEE Main?

JEE Main is a qualifying exam for JEE Advanced. JEE Advanced is tougher and is only for IITs.

How many times can a student appear for JEE Advanced?

You can appear for JEE Advanced at most twice in two consecutive years.

What is the minimum percentage required in Class 12 for eligibility?

You must be in the top 20 percentile of your board or have scored at least 75% marks (65% for SC/ST).

Will the exam be conducted online or offline?

JEE Advanced is conducted only in Computer-Based Test (CBT) mode.

How can Acadmiac help in JEE Advanced preparation?

Acadmiac provides systematic preparation, aids conceptual understanding, assists with regular practice and revision plans, and offers exam-oriented guidance, so that students can prepare for JEE Advanced with confidence and discipline.

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Jee Advance Program Image

Course Includes:

  • Duration: 12 Months
  • Lessons: As Per Syllabus
  • Mode: On-Campus
  • Language: English
  • Certifications: No

Instructors:

  • Chemistry: Dr. Jitendra Verma
  • Maths: Mr. Rajkumar Singh

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