JEE Main Exam 2027 - Applicate Date, Syllabus, Eligibility, Previous Year Papers, Cutoff

JEE Main 2027 Highlights 

JEE Main 2027 Eligibility Criteria

The National Testing Agency (NTA) will release the official eligibility criteria for JEE Main 2027 alongside the exam notification. Students who have completed or are appearing for their Class 12 (10+2) board exams from a recognized board are eligible to apply

JEE Main 2027 Eligibility Highlights

NTA JEE Mains Eligibility 2027 Paper-wise

Category-wise Seat Reservation Breakdown

Note: Seat reservations for NITs, IIITs, and GFTIs follow the Central Government category list, rather than state-specific reservation lists.

JEE Main 2027 Application Process

The National Testing Agency (NTA) will release the JEE Main 2027 Session 1 application form tentatively in October/November. Eligible candidates can register online at the official portal: jeemain.nta.nic.in. Along with basic personal and academic details, candidates must complete specific requirements such as entering their APAAR ID, disability details, and completing a real-time live photograph capture. An online application correction window will also be provided after the registration closes.

Steps Involved in Filling the JEE Main 2027 Application Form

How to Fill the JEE Main 2027 Application Form

Follow these step-by-step instructions to complete your JEE Main 2027 registration online:

1. Register on the Official Portal

   Visit the official website (jeemain.nta.nic.in) and click on the new registration link to create your login credentials (Application Number and Password).

2. Complete the Application Form

   Log in and fill in the required personal details, academic qualifications, exam paper preference (Paper 1, 2A, or 2B), and choice of exam cities.

3. Upload Documents & Complete Verifications

   • Live Photo Capture & Signature: Capture a real-time live photograph via webcam/camera and upload a scanned copy of your signature.

   • Mandatory Sections: Fill in your Identity details (such as APAAR/ABC ID or Aadhaar), Disability details (if applicable), and upload category/PwD certificates where required.

4. Pay the Application Fee

   Pay the prescribed registration fee online using Net Banking, Debit Card, Credit Card, or UPI.

5. Download the Confirmation Page

   After successful payment, download and print multiple copies of the Confirmation Page for future reference and counseling.

Step 1: JEE Main 2027 Registration

The first stage was the creation of a candidate account on the official JEE Main portal.

Candidates were required to visit the official website and open the relevant Session 1 or Session 2 registration link. New applicants had to select the New Registration option, while students who had already registered for Session 1 could use their existing application number and password for Session 2.

How to Complete JEE Main Registration

Candidates had to follow these steps:

Open the official JEE Main website. (jeemain.nta.nic.in)

Select the JEE Main 2027 registration link.

The JEE login page will appear

There are three simple steps to apply online: registration, filling out the online application form, and submitting the document.

Click on the ‘New Registration’ button, provided in the middle section.

Instructions and Procedure for online submission of the application form page will be displayed.

Go through the complete instructions carefully and then select the declaration

Click on the “click here to proceed” button

The JEE Main 2026 registration form will appear.

Provide personal details, present and permanent address

Choose a password, and enter the security pin

Click on the option for new candidate registration.

Read the application instructions carefully.

A preview of the JEE 2027 registration form will appear.

Accept the declaration and proceed.

Select the appropriate identity-verification method.

Enter the candidate’s name, date of birth, gender and contact details.

Provide a valid mobile number and email address.

Create a secure password and select a security question.

Verify the registered mobile number and email through OTP.

Submit the registration form.

After successful registration, the system generated a unique JEE Main application number. Candidates had to preserve this number because it was required for completing the form, downloading the admit card, accessing the answer key and checking the result. The same application number was used for both JEE Main 2026 sessions.

Candidates were not permitted to submit more than one application form. Multiple application numbers belonging to the same candidate could result in action under the Unfair Means provisions.
 

Step 2: Fill in the JEE Main 2027 Application Form

Once initial registration is complete, candidates can log in to the portal using the Application Number and Password sent to their registered email ID and mobile number to complete the detailed form.

Information Required in the Detailed Application Form

• Personal & Demographic Details: Country of residence, state of eligibility/residence, category (General/OBC-NCL/SC/ST/EWS), and diabetic status.

• Academic Background: Medium of instruction in Classes 11 and 12, along with detailed marks/grades for Class 10 and Class 12 (or equivalent).

• Exam Preferences: Choice of paper (Paper 1 - B.E./B.Tech, Paper 2A - B.Arch, Paper 2B - B.Planning, or a combination) and preferred question paper medium.

• Exam Centre Selection: Four preferred exam city choices in order of priority.

After verifying all entered information, submit the section to proceed directly to the Live Photo Capture & Document Upload stage.

Step 3 - Capturing a live photograph for JEE Mains registration

Candidates need to click a live photo after filling all the previous sections. This is a mandatory section, in which aspirants can use an in-built camera or an external device like a mobile phone to click their real-time picture.


 

Step 4 -Uploading Scanned Images in JEE Main Application Form 2027

Candidates have to upload the scanned image of their passport-size coloured photograph and signature in the JEE Main 2026. The size and file format of images should be strictly adhered to as per the NTA JEE Main photo and signature guidelines


 

Step 5: Pay the JEE Main 2027 Application Fee

After completing the application form and uploading the required images, candidates will be taken to the payment page.

The application fee will be shown according to the candidate’s category and gender. The fee can be paid online using a credit card, debit card, net banking or another available payment option.

After successful payment, a confirmation message will be sent to the candidate’s registered mobile number

NTA JEE Mains 2027 Registration Fees (For Indian Exam Centres)

 
NTA JEE Mains 2027 Registration Fees (For Abroad Exam Centres)

JEE Main 2027: NTA Addresses Aadhaar Name Mismatch for JEE Mains Applications

If candidates encounter a name-mismatch message during Aadhaar authentication, they will be provided an option to correct the error. Such a provision was provided in the previous year as well.

JEE Main Correction Window 2027

The National Testing Agency will announce the JEE Main 2027 application form correction date on the official website. The JEE Main form correction was available online. Students who entered any incorrect information in their application form or candidates with defects in uploaded images can make edits till the last date.

Applicants require their log-in to access the JEE application form 2027 correction facility. Candidates need to pay an additional fee for modifying the details, while some details will be allowed for modification without any cost. Information that can be modified is as follows:

• Personal Details: Spelling mistakes in name, parent’s name, etc. can be corrected.
• Academic Details: School details, year of passing, and qualifying exam can be corrected in this section.
• Change of Paper: The choice of paper can be changed from Paper 1 to Paper 2 as well as from Paper 2 to Paper 1. If candidates have applied for one paper and wish to apply for both papers, they can do so on payment of the balance fee.
• Exam Centres: Candidates will not be able to change their choice of exam centres.
• Language of Examination: The language can be changed from English to Hindi/Gujarati and vice versa.
• Name, State of Eligibility, and Date of Birth: These details can also be corrected by candidates.
• Category: Candidates can also change their category. If candidates change their category from General to Reserved, the fee will not be refunded. If candidates change their category from Reserved to General, they will have to pay the balance fee.

 JEE Main 2026 Application Form: Details required during session 1 NTA JEE Main registration 2026

What to do after filling the JEE Main Application Form 2027?
After submitting the registration form for JEE Main 2027, candidates have to download a copy of the application for future use. Candidates will not be able to change their allotted JEE Main 2027 exam centre.Candidates whose application form for JEE Main 2027 is submitted correctly can download the admit card at the official website- jeemain.nta.nic.in.


How to retrieve the NTA JEE Main 2026 application number?
To retrieve the NTA JEE Main 2026 application number, candidates must click on the option for the same on the login window. They must enter the following details.

Application Form
Candidate Name
Father Name
Mother Name
Date of Birth
Security Pin (Case Sensitive)

JEE Main Statistics of previous years.

Documents Required at Exam JEE Main 2027
Joint Entrance Examination (Main) 2027
JEE Main admit card
C A valid photo ID (passport, college/school ID card, driving license)
C One passport size photograph
PwD category candidates will have to carry a copy of the PwD certificate in the prescribed format.

JEE Main 2027 Exam Centers

JEE Main 2027: Paper 1 Exam Pattern Overview

The National Testing Agency (NTA) will publish the official JEE Main 2027 Paper 1 exam pattern on its website. Candidates preparing for Paper 1 (B.E./B.Tech) should thoroughly review the format—including the question types, marking scheme, test mode, and language options—to build an effective preparation strategy.

JEE Main 2027 Exam Pattern: Paper 1 (B.E. / B.Tech)

JEE Main 2027: Paper 2 (B.Arch & B.Planning):

Candidates applying for architecture (B.Arch / Paper 2A) or spatial planning (B.Plan / Paper 2B) programs must understand the structure of JEE Main Paper 2.

The optional question format introduced in Section B during the COVID-19 pandemic has been discontinued. Applicants must answer all 5 numerical value questions in the Mathematics section.

JEE Main 2027 Exam Pattern: Paper 2A (B.Arch)

JEE Main Exam Pattern (Paper 2B) – B.Plan

JEE Main 2027 Syllabus
JEE Main Paper 1: Mathematics Syllabus

Unit 01: Sets, Relations, and Functions

• Sets: Sets and their representation; union, intersection, and complement of sets and their algebraic properties; power set.

• Relations & Functions: Types of relations, equivalence relations; functions, one-one, into, and onto functions; composition of functions.

Unit 02: Complex Numbers and Quadratic Equations

• Complex Numbers: Complex numbers as ordered pairs of reals; representation in the form $a + ib$ and on the Argand plane; algebra of complex numbers; modulus and argument (amplitude).

• Quadratic Equations: Quadratic equations in real and complex number systems and their solutions; relation between roots and coefficients; nature of roots; formation of quadratic equations with given roots.

Unit 03: Matrices and Determinants

• Matrices: Types of matrices, matrix algebra, transpose, adjoint, and inverse of a square matrix.

• Determinants: Determinants of order 2 and 3; properties and evaluation; area of triangles using determinants.

• Systems of Equations: Test of consistency and solution of simultaneous linear equations in two or three variables using matrix inversion and Cramer's rule.

Unit 04: Permutations and Combinations

• Counting Principles: Fundamental principle of counting.

• Permutations & Combinations: Meaning of P(n, r) and C(n, r); simple operational applications and problem-solving.

Unit 05: Binomial Theorem

• Binomial Expansions: Binomial theorem for a positive integral index; general term, middle term, and standard applications.

Unit 06: Sequences and Series

• Progressions: Arithmetic Progression (A.P.) and Geometric Progression (G.P.).

• Means & Relations: Insertion of arithmetic and geometric means between two numbers; relation between A.M. and G.M.

Unit 07: Limit, Continuity, and Differentiability

• Functions & Graphs: Real-valued functions, algebra of functions (polynomial, rational, trigonometric, logarithmic, and exponential); inverse functions; graphs of simple functions.

• Limits & Continuity: Standard limits, continuity, and differentiability.

• Differentiation: Sum, difference, product, and quotient rules; differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions; second-order derivatives.

• Applications of Derivatives: Rate of change of quantities; monotonic increasing and decreasing functions; maxima and minima of functions of a single variable.

Unit 08: Integral Calculus

• Indefinite Integrals: Integration as an antiderivative; fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions; integration by substitution, by parts, and by partial fractions; trigonometric identities in integration.

• Standard Forms: Evaluation of integrals of the forms:
  ∫dx/ x² + a², ∫dx/ √x² ± a², ∫dx/ √a² - x², ∫dx/ √a² - x², ∫dx/ ax² + bx + c, ∫dx/√ax² ± bx + c, ∫(px + q) dx/ ax² + bx + c, ∫(px + q) dx/ √ax² + bx + c, ∫√a² + x² dx, ∫√x² - a² dx

• Definite Integrals: Fundamental theorem of calculus; properties of definite integrals; evaluation of definite integrals; area bounded by standard curves.

Unit 09: Differential Equations

• Ordinary Differential Equations: Order and degree of a differential equation.

• Solutions: Solution by separation of variables; solutions of homogeneous differential equations; first-order linear differential equations of the form:

  dy/ dx + p(x)y = q(x)

Unit 10: Coordinate Geometry

2D Coordinate System: Cartesian coordinates, distance formula, section formula, locus and its equation, slope of a line, parallel/perpendicular lines, intercepts.

• Straight Lines: Standard forms of equations of a line; intersection of lines; angle between two lines; condition of concurrence of three lines; perpendicular distance of a point from a line; coordinates of centroid, orthocenter, and circumcenter of a triangle.

• Circles & Conic Sections: Standard and general equations of a circle; radius and center; diameter form of a circle equation; intersection of a line and a circle; standard equations and properties of parabola, ellipse, and hyperbola.

Unit 11: Three-Dimensional Geometry

• Points & Lines in Space: Direction cosines and direction ratios; distance between two points; section formula; angle between two intersecting lines.

• Lines: Vector and Cartesian equations of a line; skew lines and shortest distance between them.

Unit 12: Vector Algebra

• Vectors & Operations: Vectors and scalars; addition and scalar multiplication; position vectors and components in 2D and 3D space; dot (scalar) product and cross (vector) product.

Unit 13: Statistics and Probability

• Statistics: Measures of dispersion; calculation of mean, median, mode, variance, and standard deviation for grouped and ungrouped data.

• Probability: Probability of an event; addition and multiplication theorems; conditional probability; Bayes' theorem; probability distributions of a random variable.

Unit 14: Trigonometry

• Identities & Equations: Fundamental trigonometric identities and functions.

• Inverse Trigonometry: Inverse trigonometric functions, domains, ranges, and fundamental properties.

JEE Main Paper 1: Physics Syllabus

Unit 01: Physics and Measurement

• Units & Errors: Units of measurement, systems of units, SI units, fundamental and derived units; least count, significant figures, errors in measurement.

• Dimensional Analysis: Dimensions of physical quantities, dimensional analysis, and its applications.

Unit 02: Kinematics

• 1D Motion: Frame of reference, motion in a straight line, position-time graph, speed and velocity, uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time graph, equations of motion for uniformly accelerated bodies.

• Relative & 2D Motion: Relative velocity; motion in a plane, projectile motion, uniform circular motion.

Unit 03: Laws of Motion

• Newton's Laws: Force and inertia, Newton’s first law; momentum, Newton’s second law; impulse, Newton’s third law.

• Momentum & Friction: Law of conservation of linear momentum and its applications; equilibrium of concurrent forces; static and kinetic friction, laws of friction, rolling friction.

• Circular Dynamics: Dynamics of uniform circular motion; centripetal force and applications (motion of vehicles on level circular roads and banked roads).

Unit 04: Work, Energy, and Power

• Work & Energy Principles: Work done by constant and variable forces; kinetic and potential energy; work-energy theorem; power.

• Conservation & Motion: Potential energy of a spring; conservation of mechanical energy; conservative and non-conservative forces; motion in a vertical circle.

• Collisions: Elastic and inelastic collisions in one and two dimensions.

Unit 05: Rotational Motion

• Center of Mass: Center of mass of a two-particle system and a rigid body.

• Rotational Dynamics: Moment of a force, torque, angular momentum, conservation of angular momentum and its applications.

• Moment of Inertia: Moment of inertia, radius of gyration, values of moments of inertia for simple geometrical shapes; parallel and perpendicular axis theorems with applications.

• Rigid Body Dynamics: Equilibrium of rigid bodies; equations of rotational motion; comparison of linear and rotational motions.

Unit 06: Gravitation

• Gravitational Fields: Universal law of gravitation; acceleration due to gravity and its variation with altitude and depth.

• Planetary Motion & Potential: Kepler’s laws of planetary motion; gravitational potential and gravitational potential energy.

• Satellites: Escape velocity, orbital velocity, time period, and energy of a satellite.

Unit 07: Properties of Solids and Liquids

• Elasticity: Elastic behavior, stress-strain relationship, Hooke’s Law, Young’s modulus, bulk modulus, and modulus of rigidity.

• Fluids in Motion & Rest: Pressure due to a fluid column, Pascal’s law and its applications, effect of gravity on fluid pressure; viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity, Bernoulli’s principle and its applications.

• Surface Tension: Surface energy and surface tension, angle of contact, excess pressure across curved surfaces; applications (drops, bubbles, capillary rise).

• Thermal Properties: Heat, temperature, thermal expansion, specific heat capacity, calorimetry, change of state, latent heat.

• Heat Transfer: Modes of heat transfer (conduction, convection, and radiation).

Unit 08: Thermodynamics

• Laws of Thermodynamics: Thermal equilibrium and the zeroth law (concept of temperature); heat, work, and internal energy; first law of thermodynamics, isothermal and adiabatic processes.

• Reversibility: Second law of thermodynamics; reversible and irreversible processes.

Unit 09: Kinetic Theory of Gases

• Gas Laws & Postulates: Equation of state of a perfect gas; work done in compressing a gas; assumptions of kinetic theory, concept of pressure, kinetic interpretation of temperature, RMS speed of gas molecules.

• Energy Distribution: Degrees of freedom, law of equipartition of energy and its application to specific heat capacities; mean free path, Avogadro’s number.

Unit 10: Oscillations and Waves

• Oscillations: Periodic motion, period, frequency, displacement as a function of time; Simple Harmonic Motion (SHM) and its equation, phase; oscillations of a spring (restoring force, force constant, energy in SHM); simple pendulum and derivation of its time period.

• Wave Motion: Longitudinal and transverse waves, speed of a travelling wave, progressive wave equation; principle of superposition, reflection of waves, standing waves in strings and organ pipes, fundamental modes and harmonics, beats.

Unit 11: Electrostatics

• Charges & Fields: Conservation of charge, Coulomb’s law (forces between two and multiple charges), superposition principle, continuous charge distribution; electric field due to a point charge, field lines, electric dipole, electric field due to a dipole, torque on a dipole in a uniform electric field.

• Gauss’s Law: Electric flux; Gauss’s law and its applications (infinitely long wire, infinite plane sheet, uniformly charged thin spherical shell).

• Potential & Energy: Electric potential due to a point charge, dipole, and charge systems; potential difference, equipotential surfaces; electrical potential energy of a two-charge system and dipole.

• Capacitance: Conductors, insulators, dielectrics, and electric polarization; capacitors, capacitance, combinations in series and parallel; parallel plate capacitor with and without dielectric; energy stored in a capacitor.

Unit 12: Current Electricity

• Conduction: Electric current, drift velocity, mobility and their relation to current; Ohm’s law, electrical resistance, I-V characteristics (ohmic and non-ohmic); electrical energy, power, resistivity, and conductivity; temperature dependence of resistance; series and parallel resistor combinations.

• Circuits & Cells: Internal resistance, potential difference, and EMF of a cell; combinations of cells in series and parallel; Kirchhoff’s laws and applications; Wheatstone bridge, metre bridge.

Unit 13: Magnetic Effects of Current and Magnetism

• Magnetic Fields & Forces: Biot-Savart law (circular loop application); Ampère’s law (straight wire and solenoid); force on moving charges in magnetic and electrical fields; force on a current-carrying conductor; force between parallel currents (definition of ampere).

• Torque & Measuring Instruments: Torque on a current loop; Moving Coil Galvanometer, its sensitivity, and conversion to ammeter and voltmeter.

• Magnetism & Matter: Current loop as a magnetic dipole; bar magnet as an equivalent solenoid, magnetic field lines, field along axial and equatorial lines; torque on a dipole; magnetic materials (diamagnetic, paramagnetic, and ferromagnetic substances); effect of temperature on magnetic properties.

Unit 14: Electromagnetic Induction and Alternating Currents

• Electromagnetic Induction: Faraday’s law, induced EMF and current, Lenz’s law, eddy currents; self and mutual inductance.

• Alternating Currents: Peak and RMS values of AC voltage/current; reactance and impedance; LCR series circuits, resonance, power in AC circuits, wattless current; AC generators and transformers.

Unit 15: Electromagnetic Waves

• Properties & Spectrum: Displacement current; electromagnetic waves and their transverse nature; electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) and their applications.

Unit 16: Optics

• Ray Optics: Reflection at spherical mirrors, mirror formula; refraction at plane and spherical surfaces, thin lens formula, lens maker's formula, total internal reflection (TIR) and applications; magnification, power of a lens, combination of thin lenses; refraction through a prism.

• Optical Instruments: Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers.

• Wave Optics: Wavefronts and Huygens’ principle; laws of reflection and refraction via Huygens' principle; interference (Young’s double-slit experiment, fringe width, coherent sources); diffraction (single slit, width of central maximum); polarization (plane-polarized light, Brewster’s law, polaroids).

Unit 17: Dual Nature of Matter and Radiation

• Photoelectric Effect: Dual nature of radiation, Hertz and Lenard’s observations, Einstein’s photoelectric equation, particle nature of light.

• Matter Waves: De Broglie relation and wave nature of matter.

Unit 18: Atoms and Nuclei

• Atomic Models: Alpha-particle scattering experiment, Rutherford’s model, Bohr model, energy levels, hydrogen spectrum.

• Nuclear Physics: Nuclear composition and size, atomic masses, mass-energy relation, mass defect, binding energy per nucleon vs. mass number, nuclear fission and fusion.

Unit 19: Electronic Devices

• Semiconductors: semiconductor diode: I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, the photodiode, solar cell, Zener diode, Zener diode as a voltage regulator.

• Logic Gates: Basic logic gates (OR, AND, NOT, NAND, NOR).

Unit 20: Experimental Skills

• Mechanics & Properties of Matter:

  1. Vernier Calipers (measuring internal/external diameter and depth of a vessel).

  2. Screw Gauge (measuring thickness/diameter of thin sheets and wires).

  3. Simple Pendulum (energy dissipation via amplitude vs. time plot).

  4. Metre Scale (mass determination using the principle of moments).

  5. Young’s Modulus of elasticity of a metallic wire.

  6. Surface Tension of water by capillary rise and effect of detergents.

  7. Coefficient of Viscosity via terminal velocity of a spherical body.

• Heat & Waves:

  8. Speed of sound in air at room temperature using a resonance tube.

  9. Specific heat capacity of solids and liquids using the method of mixtures.

• Electricity & Magnetism:

  10. Resistivity of a wire material using a metre bridge.

  11. Resistance of a wire using Ohm’s law.

  12. Resistance and figure of merit of a galvanometer by the half-deflection method.

• Optics:

  13. Focal length of convex mirror, concave mirror, and convex lens using the parallax method.

  14. Angle of deviation vs. angle of incidence plot for a triangular prism.

  15. Refractive index of a glass slab using a travelling microscope.

• Semiconductors & Components:

  16. Characteristic curves of a P-N junction diode in forward and reverse bias.

  17. Characteristic curves of a Zener diode and determination of reverse breakdown voltage.

  18. Component identification (diode, LED, resistor, capacitor) from a mixed collection.

JEE Main Paper 1: Chemistry Syllabus

Section A: Physical Chemistry:

Unit 01: Some Basic Concepts in Chemistry

• Matter & Stoichiometry: Matter and its nature, Dalton's atomic theory; concept of atom, molecule, element, and compound; laws of chemical combination; atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae.

• Chemical Reactions: Balancing chemical equations, stoichiometric calculations.

Unit 02: Atomic Structure

• Early Models & Quantum Theory: Nature of electromagnetic radiation, photoelectric effect; hydrogen atom spectrum, Bohr model (postulates, derivations of electron energy, and orbital radii), limitations of Bohr's model.

• Quantum Mechanical Concepts: Dual nature of matter, De Broglie relationship, Heisenberg uncertainty principle; concept of atomic orbitals as one-electron wave functions, variation of  Ψ and Ψ² with r for 1s and 2s orbitals.

• Quantum Numbers & Orbitals: Principal , azimuthal/angular momentum , magnetic, and spin quantum numbers; shapes of s, p, and d orbitals; rules for electron filling (Aufbau principle, Pauli exclusion principle, Hund's rule); electronic configurations and extra stability of half-filled and completely filled subshells.

Unit 03: Chemical Bonding and Molecular Structure

• Ionic Bonding: Kossel-Lewis approach, formation of ionic bonds, factors affecting ionic bond formation, calculation of lattice enthalpy.

• Covalent Bonding: Electronegativity, Fajan's rules, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules.

• Modern Bonding Theories:

  • Valence Bond Theory (VBT): Postulates, hybridization involving s, p, and d orbitals, resonance.

  • Molecular Orbital Theory (MOT): Linear Combination of Atomic Orbitals (LCAO), types of molecular orbitals (sigma, pi), bonding and antibonding orbitals; MO electronic configuration of homonuclear diatomic molecules; bond order, bond length, and bond energy.

• Intermolecular Forces: Elementary idea of metallic bonding, hydrogen bonding (types and applications).

Unit 04: Chemical Thermodynamics

• Fundamentals: System and surroundings, extensive and intensive properties, state functions, path functions, types of thermodynamic processes.

• First Law of Thermodynamics: Concept of work (w), heat (q), internal energy (U), and enthalpy (H); heat capacity, molar heat capacity; Hess's law of constant heat summation; standard enthalpies of formation, combustion, bond dissociation, atomization, sublimation, phase transition, ionization, solution, and hydration.

• Second Law of Thermodynamics: Spontaneity of processes, ΔS of the universe and ΔG of the system as criteria for spontaneity. ΔG° (standard Gibbs energy change)  and equilibrium constant.

Unit 05: Solutions

• Concentration Terms: Molality, molarity, mole fraction, mass percentage, volume percentage.

• Vapour Pressure & Ideal Solutions: Vapour pressure of solutions, Raoult's law; ideal and non-ideal solutions, vapour pressure-composition plots.

• Colligative Properties: Relative lowering of vapour pressure, elevation of boiling point, depression of freezing point, osmotic pressure; determination of molecular mass using colligative properties.

• Abnormal Molar Masses: Association and dissociation of solutes, van 't Hoff factor and its calculations.

Unit 06: Equilibrium

• Physical Equilibrium: Dynamic nature of equilibrium; solid-liquid, liquid-gas, gas-gas, and solid-gas equilibria; Henry's law.

• Chemical Equilibrium: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, the significance of ΔG and ΔG° in chemical equilibrium,factors affecting equilibrium (concentration, pressure, temperature, addition of inert gas), effect of catalyst, Le Chatelier’s principle.

• Ionic Equilibrium: Weak and strong electrolytes, degree of ionization; acid-base theories (Arrhenius, Brønsted-Lowry, Lewis); ionization of acids and bases, acid-base equilibria (multistage ionization) and ionization constants; autoionization of water, pH scale, common ion effect; salt hydrolysis and pH calculation of salt solutions; solubility of sparingly soluble salts, solubility product, buffer solutions and buffer capacity.

Unit 07: Redox Reactions and Electrochemistry

• Redox Reactions: Electronic concept of oxidation and reduction, oxidation number rules, balancing redox equations (ion-electron and oxidation number methods).

• Electrolytic Conduction: Metallic vs. electrolytic conduction, conductance, conductivity, molar conductivity and its variation with concentration; Kohlrausch's law and its applications.

• Electrochemical Cells: Galvanic and electrolytic cells; types of electrodes, standard electrode potentials, half-cell and overall cell reactions, EMF of a cell; Nernst equation and applications; relation between cell potential cell and Gibbs free energy, commercial cells (dry cell, lead-acid accumulator, fuel cells).

Unit 08: Chemical Kinetics

• Reaction Rates: Rate of a chemical reaction, average and instantaneous rate; factors affecting rate (concentration, temperature, pressure, catalyst); rate law, rate constant and its units; order and molecularity of reactions.

• Integrated Rate Equations: Differential and integrated forms of zero-order and first-order reactions; half-life.

• Reaction Dynamics: Temperature dependence of rate constants, Arrhenius equation, activation energy; collision theory of bimolecular gaseous reactions (qualitative concept).

Section B: Inorganic Chemistry

Unit 09: Classification of Elements and Periodicity in Properties

• Periodic Classification: Modern periodic law, long form of the periodic table; division into s, p, d, and f blocks.

• Periodic Trends: Periodic trends in physical and chemical properties: atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity.

Unit 10: p-Block Elements (Groups 13 to 18)

• General Trends: Electronic configurations, general trends in physical and chemical properties across periods and down groups.

• Anomalous Properties: Unique behavior and anomalous properties of the first element of each group.

Unit 11: d- and f-Block Elements

• Transition Elements (d-Block): General electronic configuration, occurrence, and general characteristics; trends in first-row transition elements: metallic character, atomic radii, ionization enthalpy, variable oxidation states, color, catalytic properties, magnetic properties, complex formation, formation of interstitial compounds, and alloy formation.

• Important Compounds: Preparation, properties, and oxidizing actions of Potassium Dichromate and Potassium Permanganate.

• Inner Transition Elements (f-Block):

  • Lanthanoids: Electronic configuration, oxidation states, and lanthanoid contraction (causes and consequences).

  • Actinoids: Electronic configuration and general oxidation states.

Unit 12: Coordination Compounds

• Structure & Nomenclature: Werner's theory, ligands, coordination number, denticity, chelation; IUPAC nomenclature of mononuclear coordination compounds; isomerism (structural and stereoisomerism).

• Bonding & Properties: Valence Bond Theory (VBT) and basic concepts of Crystal Field Theory (CFT); splitting of d-orbitals in octahedral and tetrahedral fields; magnetic properties and color of coordination complexes.

• Applications: Role of coordination compounds in qualitative chemical analysis, metallurgy/metal extraction, and biological systems

Section C: Organic Chemistry

Unit 13: Purification and Characterisation of Organic Compounds

• Purification Methods: Principles and applications of crystallization, sublimation, distillation (simple, fractional, steam, under reduced pressure), differential extraction, and chromatography (column, thin-layer, paper).

• Qualitative Analysis: Detection of extra elements (Nitrogen, Sulphur, Phosphorus, and Halogens) via Lassaigne's test.

• Quantitative Analysis: Principles of estimation of Carbon, Hydrogen, Nitrogen (Dumas and Kjeldahl methods), Halogens (Carius method), Sulphur, and Phosphorus; determination of empirical and molecular formulae with calculations.

Unit 14: Some Basic Principles of Organic Chemistry

• Structure & Hybridization: Tetravalency of carbon, hybridization (s, p), molecular shapes; classification of organic compounds based on functional groups.

• Nomenclature & Isomerism: Trivial and IUPAC nomenclature; structural isomerism (chain, position, functional, metamerism, tautomerism) and stereoisomerism (geometrical and optical).

• Reaction Mechanisms: Homolytic and heterolytic bond fission; structure, shape, and stability of reaction intermediates (carbocations, carbanions, free radicals); electrophiles and nucleophiles.

• Electronic Effects: Inductive effect , electromeric effect, resonance/mesomeric effect, and hyperconjugation.

• Reaction Types: Common types of organic reactions (substitution, addition, elimination, and rearrangement).

Unit 15: Hydrocarbons

• Alkanes: Nomenclature, preparation methods, physical and chemical properties; conformations of ethane (Sawhorse and Newman projections); mechanism of free-radical halogenation.

• Alkenes: Nomenclature, preparation, geometrical isomerism, electrophilic addition reactions: addition of halogens, water and hydrogen halides (Markovnikov's rule and peroxide/Kharasch effect); ozonolysis and polymerization.

• Alkynes: Nomenclature, preparation, physical and chemical properties; acidic nature of terminal alkynes; addition reactions (halogens, water); linear and cyclic polymerization.

• Aromatic Hydrocarbons: Nomenclature, structure of benzene, resonance and aromaticity (Hückel's rule); mechanism of electrophilic aromatic substitution (halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation); directive influence of functional groups in mono-substituted benzenes.

Unit 16: Organic Compounds Containing Halogens (Haloalkanes & Haloarenes)

• Haloalkanes & Haloarenes: General methods of preparation, physical properties, chemical reactions, nature of the C--X bond; mechanisms of nucleophilic substitution 

• Polyhalogen Compounds: Environmental effects and uses of chloroform, iodoform, freons, and DDT.

Unit 17: Organic Compounds Containing Oxygen

• Alcohols, Phenols, and Ethers:

  • Alcohols: Classification, preparation, physical and chemical properties; identification of primary, secondary, and tertiary  alcohols (Lucas test, oxidation); mechanism of acid-catalyzed dehydration.

  • Phenols: Preparation, physical properties, acidic character; electrophilic aromatic substitution (halogenation, nitration, sulphonation); Kolbe's reaction, Reimer-Tiemann reaction, reaction with Zinc dust.

  • Ethers: Preparation (Williamson ether synthesis), structure, physical properties, and cleavage of CO bond with HX.

• Aldehydes and Ketones:

  • Carbonyl Group: Nature of the >C=O bond, relative reactivities of aldehydes vs. ketones.

  • Reactions: Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives, Grignard reagents); oxidation reactions (Tollens' and Fehling's tests); reduction reactions (Clemmensen reduction, Wolff-Kishner reduction, Aldol condensation, Cannizzaro reaction, Haloform reaction.

• Carboxylic Acids:

  • Properties & Reactions: Acidic strength and factors affecting it (inductive and resonance effects), general preparation methods, reactions (esterification, decarboxylation, Hell-Volhard-Zelinsky reaction).

Unit 18: Organic Compounds Containing Nitrogen

• Amines: Nomenclature, classification, structure, and preparation methods; physical properties, basic character and factors affecting basicity (inductive, steric, and solvation effects); identification tests for primary, secondary, and tertiary amines (Hinsberg test, carbylamine reaction, reaction with nitrous acid).

• Diazonium Salts: Preparation, chemical reactions (sandmeyer, Gattermann, azo coupling), and synthetic utility in aromatic synthesis.

Unit 19: Biomolecules

• Carbohydrates: Classification (aldoses and ketoses); monosaccharides (structure and configuration of D-glucose and D-fructose); oligosaccharides (glycosidic linkage in sucrose, lactose, maltose); polysaccharides (starch, cellulose, glycogen).

• Proteins: Amino acids (elementary idea, essential/non-essential amino acids, zwitterion structure), peptide bond, polypeptides; primary, secondary, tertiary, and quaternary structures of proteins (qualitative overview); denaturation of proteins; enzymes.

• Vitamins & Hormones: Classification, biological functions, and deficiency diseases of vitamins; general introduction and biological functions of hormones.

• Nucleic Acids: Chemical composition of DNA and RNA (nucleosides, nucleotides, phosphodiester linkage); double-helical structure of DNA; biological functions of nucleic acids (replication and protein synthesis).

Unit 20: Principles Related to Practical Chemistry

• Qualitative Organic Analysis:

  • Detection of extra elements in organic compounds.

  • Functional group identification: Hydroxyl (alcoholic and phenolic), Carbonyl (aldehyde and ketone), Carboxyl, and Amino groups.

• Organic & Inorganic Preparations:

  • Inorganic: Mohr's salt, Potash alum.

  • Organic: Acetanilide, p-nitroacetanilide, Aniline yellow, Iodoform.

• Titrimetric Exercises: Acid-base titrations with indicators; redox titrations:

  • Oxalic acid vs. KMnO4

  • Mohr's salt vs.KMnO4

• Qualitative Salt Analysis (Systematic Cation & Anion Detection):

  • Cations: Pb 2+, Cu 2+, Al3+ , Fe 3+ , Zn 2+ , Ni2+ , Ca 2+ , Ba 2+ , Mg 2+ , NH4+

  • Anions: CO3 2− , S 2-, SO4 2− , NO3 -, NO2 -, Cl -, Br -, I - (insoluble salts excluded).

• Physical Chemistry Experiments:

  • Enthalpy of solution of CuSO4 2

  • Enthalpy of neutralization of a strong acid and strong base.

  • Preparation of lyophilic and lyophobic sols.

  • Kinetic study of the reaction between iodide ions and hydrogen peroxide at room temperature.
     

JEE Main Paper 2 Syllabus

Paper 2A (B.Arch.)-Mathematics

Unit 01: Sets, Relations, and Functions

• Sets: Representation, types of sets, subset, power set, operations (union, intersection, complement), and algebraic properties.

• Relations: Definition, types of relations (reflexive, symmetric, transitive), and equivalence relations.

• Functions: Domain, co-domain, and range; one-one, into, and onto mappings; composite functions.

Unit 02: Complex Numbers and Quadratic Equations

• Complex Numbers: Ordered pairs of reals, algebraic form (a + ib), Argand plane representation, algebra of complex numbers, modulus, and argument (amplitude).

• Quadratic Equations: Solutions in real and complex number systems, relation between roots and coefficients, nature of roots, and formation of equations with given roots.

Unit 03: Matrices and Determinants

• Matrices: Types, algebraic operations, transpose, adjoint, and inverse of square matrices (order 2 and 3).

• Determinants: Evaluation of determinants, properties, and area of triangles using determinants.

• Linear Systems: Test of consistency and solving simultaneous linear equations in two or three variables using matrix inversion or Cramer's rule.

Unit 04: Permutations and Combinations

• Combinatorics: Fundamental principle of counting (addition and multiplication principles).

• Formulas & Applications: Meaning and calculation of P(n, r) and C(n, r) with straightforward word-problem applications.

Unit 05: Binomial Theorem and Its Simple Applications

• Expansion: Binomial theorem for positive integral indices.

• Key Terms: Finding the general term, middle term(s), and simple coefficient-based problems.

Unit 06: Sequences and Series

• Progressions: Arithmetic Progression (A.P.) and Geometric Progression (G.P.).

• Means: Insertion of Arithmetic Means (A.M.) and Geometric Means (G.M.) between two numbers.

• Properties: Algebraic relation between A.M. and G.M

Unit 07: Limit, Continuity, and Differentiability

• Functions: Real-valued functions; polynomial, rational, trigonometric, exponential, and logarithmic functions; inverse functions and graphs.

• Limits & Continuity: Evaluating limits, algebra of limits, testing continuity of functions.

• Differentiation: Sum, difference, product, and quotient rules; derivatives of trigonometric, inverse trigonometric, exponential, logarithmic, composite, and implicit functions; second-order derivatives.

• Applications of Derivatives (AOD): Rate of change, monotonic behavior (increasing/decreasing functions), and finding maxima/minima for functions of a single variable.

Unit 08: Integral Calculus

• Indefinite Integration: Anti-derivatives; integration by substitution, parts, and partial fractions.

• Standard Forms: Evaluation of standard algebraic/quadratic/radical integrand types:

  ∫dx/ x² + a², ∫dx/ √x² ± a², ∫dx/ √a² - x², ∫dx/ √a² - x², ∫dx/ ax² + bx + c, ∫dx/√ax² ± bx + c, ∫(px + q) dx/ ax² + bx + c, ∫(px + q) dx/ √ax² + bx + c, ∫√a² + x² dx, ∫√x² - a² dx

• Definite Integration: Fundamental theorem of calculus and standard properties of definite integrals.

• Area Bounded by Curves: Calculating enclosed areas between simple standard curves and coordinate axes.

Unit 09: Differential Equations

• Basics: Order and degree of ordinary differential equations (ODEs).

• First-Order ODE Solutions:

  • Variable separable method.

  • Homogeneous differential equations.

  • First-order linear differential equations of the form:

    dy/dx + P(x)y = Q(x)

Unit 10: Coordinate Geometry

• 2D Basics: Distance formula, section formula, locus, slope, parallel/perpendicular conditions, intercept form.

• Straight Lines: Equations of lines in various forms, point of intersection, angle between lines, concurrency of three lines, perpendicular distance from a point, and coordinates of triangle centers (centroid, orthocenter, circumcenter).

• Circles: Standard and general equations, radius and center, diameter form, and line-circle intersection.

• Conic Sections: Standard equations, eccentricity, and properties of Parabolas, Ellipses, and Hyperbolas.

Unit 11: Three-Dimensional Geometry (3D)

• Coordinates & Direction: Coordinates in space, distance formula, section formula, direction cosines (DC) and direction ratios (DR).

• Lines in Space: Equation of a straight line in vector and Cartesian forms, angle between intersecting lines, condition for skew lines, and shortest distance between skew lines.

Unit 12: Vector Algebra

• Basics: Vectors and scalars, addition/subtraction, magnitude, and components in 2D and 3D space.

• Products: Dot product (scalar product), cross product (vector product), and their geometric applications.

Unit 13: Statistics and Probability

• Statistics: Measures of central tendency (mean, median, mode) and dispersion (mean deviation, standard deviation, and variance for grouped/ungrouped data).

• Probability: Classical probability, addition and multiplication theorems, conditional probability, Bayes' theorem, and probability distributions of discrete random variables.

Unit 14: Trigonometry

• Identities: Fundamental trigonometric ratios, compound angles, multiple/submultiple angles.

• Inverse Trigonometry: Domain, range, principal value branches, and fundamental properties of inverse trigonometric functions.

JEE Main Paper 2A (B.Arch) Aptitude Test Syllabus 

Unit 01: Awareness of Architecture, Built Environment & General Mental Ability

• Architectural Awareness & Heritage:

  • Famous national and international architects and their iconic creations.

  • Historic and contemporary landmark buildings, monuments, and world heritage sites.

  • Common architectural terms, terminology, styles, and basic structural forms.

• Building Materials & Textures:

  • Identification and properties of construction materials (e.g., brick, stone, timber, concrete, glass, steel).

  • Visual recognition of natural and artificial surface textures relevant to architecture and the built environment.

• 2D to 3D Spatial Visualization:

  • Visualizing 3D solid objects and structures from given 2D orthographic projections (plans and elevations).

  • Identifying different viewpoints and sides (top view, front view, side/profile view) of complex 3D objects.

  • Surface counting, hidden edge identification, and counting total blocks/faces in a 3D composite figure.

• Analytical & Mental Reasoning:

  • Visual Reasoning: Pattern completion, mirror and water images, figure matrix, paper folding/cutting, and odd-one-out shapes.

  • Numerical & Verbal Ability: Number series, spatial coding, logical deductions, and critical thinking.

Unit 02: Three-Dimensional Perception & Design Principles

• Perception of Scale, Proportion & Aesthetics:

  • Understanding scale, relative proportions, balance, symmetry, and rhythm in objects, building elements, and facades.

  • Architectural elements (e.g., arches, domes, vaults, columns, lintels, cantilevers, fenestrations).

• Color Theory & Texture Design:

  • Color wheel fundamentals: primary, secondary, and tertiary colors.

  • Color schemes and harmonies (complementary, analogous, monochromatic, warm vs. cool tones).

  • Contrast, tonal value, light, shade, and shadow rendering using pencil techniques.

• Geometric Transformations & 3D Manipulations:

  • Boolean Operations: Union (combining shapes), subtraction (cutting out voids), intersection, and extrusion of 2D/3D shapes.

  • Spatial Transformations: 2D and 3D rotations, reflections, scaling, and tessellations.

  • Surface Development: Unfolding 3D geometric solids (cubes, prisms, pyramids, cones, cylinders) into flat 2D nets/sheets.

• Plan, Elevation & 2D/3D Compositions:

  • Generating standard orthographic drawings (plan, front elevation, side elevation) and isometric/axonometric 3D views.

  • Designing abstract or geometric 2D compositions using shapes (circles, triangles, rectangles) with visual balance.

  • Assembling 3D forms to create dynamic sculptural and architectural compositions.

JEE Main Paper 2A (B.Arch) Drawing Test (Part III) Syllabus 

Unit 01: Memory Drawing of Urban Scenes, Public Spaces & Activities

• Urban & Public Spaces:

  • Everyday street scenes, traffic intersections, pedestrian pathways, and city skylines.

  • Commercial zones: open-air markets, vegetable/fruit bazaars, shopping malls, and food streets.

  • Public gathering areas: bus terminals, railway station platforms, metro stations, and airport waiting lounges.

• Socio-Cultural Events & Festivities:

  • Cultural festivals, carnivals, melas (fairs), religious processions, and street performances.

  • Recreational zones: children’s play parks, sports grounds, amphitheaters, and exhibition spaces.

• Monuments & Built Environment:

  • Historic and modern architectural monuments, facades, heritage arches, and public plazas.

  • Integration of human figures, street furniture (benches, lamp posts, kiosks, signage), and vehicles in correct scale and perspective.

Unit 02: Landscape Drawing, Natural Environments & Rural Life

• Natural Landscapes & Water Bodies:

  • Riverfronts, lakesides, beaches, canals, waterfalls, and ghats.

  • Dense forests, jungles, hillscapes, rock formations, and valleys.

• Botanical & Horticultural Elements:

  • Accurate rendering of different tree species (canopy, trunk texture, branching patterns), foliage, shrubs, flowering plants, and potted gardens.

  • Botanical gardens, structured park pathways, and lawn layouts.

• Rural Life & Vernacular Settings:

  • Village scenes, mud and thatched-roof huts, courtyards, village wells, and farm fields.

  • Domestic animals, cattle sheds, tractors, bullock carts, and rural artisans/craftspeople at work.

JEE Main Paper 2B (B.Planning) Mathematics Syllabus 

Unit 01: Sets, Relations, and Functions

• Sets: Representation, types of sets, subset, power set, operations (union, intersection, complement), and algebraic properties.

• Relations: Definition, types of relations (reflexive, symmetric, transitive), and equivalence relations.

• Functions: Domain, co-domain, and range; one-one, into, and onto mappings; composite functions.

Unit 02: Complex Numbers and Quadratic Equations

• Complex Numbers: Ordered pairs of reals, algebraic form (a + ib), Argand plane representation, algebra of complex numbers, modulus, and argument (amplitude).

• Quadratic Equations: Solutions in real and complex number systems, relation between roots and coefficients, nature of roots, and formation of equations with given roots.

Unit 03: Matrices and Determinants

• Matrices: Types, algebraic operations, transpose, adjoint, and inverse of square matrices (order 2 and 3).

• Determinants: Evaluation of determinants, properties, and area of triangles using determinants.

• Linear Systems: Test of consistency and solving simultaneous linear equations in two or three variables using matrix inversion or Cramer's rule.

Unit 04: Permutations and Combinations

• Combinatorics: Fundamental principle of counting (addition and multiplication principles).

• Formulas & Applications: Meaning and calculation of P(n, r) and C(n, r) with straightforward word-problem applications.

Unit 05: Binomial Theorem and Its Simple Applications

• Expansion: Binomial theorem for positive integral indices.

• Key Terms: Finding the general term, middle term(s), and simple coefficient-based problems.

Unit 06: Sequences and Series

• Progressions: Arithmetic Progression (A.P.) and Geometric Progression (G.P.).

• Means: Insertion of Arithmetic Means (A.M.) and Geometric Means (G.M.) between two numbers.

• Properties: Algebraic relation between A.M. and G.M

Unit 07: Limit, Continuity, and Differentiability

• Functions: Real-valued functions; polynomial, rational, trigonometric, exponential, and logarithmic functions; inverse functions and graphs.

• Limits & Continuity: Evaluating limits, algebra of limits, testing continuity of functions.

• Differentiation: Sum, difference, product, and quotient rules; derivatives of trigonometric, inverse trigonometric, exponential, logarithmic, composite, and implicit functions; second-order derivatives.

• Applications of Derivatives (AOD): Rate of change, monotonic behavior (increasing/decreasing functions), and finding maxima/minima for functions of a single variable.

Unit 08: Integral Calculus

• Indefinite Integration: Anti-derivatives; integration by substitution, parts, and partial fractions.

• Standard Forms: Evaluation of standard algebraic/quadratic/radical integrand types:

  ∫dx/ x² + a², ∫dx/ √x² ± a², ∫dx/ √a² - x², ∫dx/ √a² - x², ∫dx/ ax² + bx + c, ∫dx/√ax² ± bx + c, ∫(px + q) dx/ ax² + bx + c, ∫(px + q) dx/ √ax² + bx + c, ∫√a² + x² dx, ∫√x² - a² dx

• Definite Integration: Fundamental theorem of calculus and standard properties of definite integrals.

• Area Bounded by Curves: Calculating enclosed areas between simple standard curves and coordinate axes.

Unit 09: Differential Equations

• Basics: Order and degree of ordinary differential equations (ODEs).

• First-Order ODE Solutions:

  • Variable separable method.

  • Homogeneous differential equations.

  • First-order linear differential equations of the form:

    dy/dx + P(x)y = q(x)

Unit 10: Coordinate Geometry

• 2D Basics: Distance formula, section formula, locus, slope, parallel/perpendicular conditions, intercept form.

• Straight Lines: Equations of lines in various forms, point of intersection, angle between lines, concurrency of three lines, perpendicular distance from a point, and coordinates of triangle centers (centroid, orthocenter, circumcenter).

• Circles: Standard and general equations, radius and center, diameter form, and line-circle intersection.

• Conic Sections: Standard equations, eccentricity, and properties of Parabolas, Ellipses, and Hyperbolas.

Unit 11: Three-Dimensional Geometry (3D)

• Coordinates & Direction: Coordinates in space, distance formula, section formula, direction cosines (DC) and direction ratios (DR).

• Lines in Space: Equation of a straight line in vector and Cartesian forms, angle between intersecting lines, condition for skew lines, and shortest distance between skew lines.

Unit 12: Vector Algebra

• Basics: Vectors and scalars, addition/subtraction, magnitude, and components in 2D and 3D space.

• Products: Dot product (scalar product), cross product (vector product), and their geometric applications.

Unit 13: Statistics and Probability

• Statistics: Measures of central tendency (mean, median, mode) and dispersion (mean deviation, standard deviation, and variance for grouped/ungrouped data).

• Probability: Classical probability, addition and multiplication theorems, conditional probability, Bayes' theorem, and probability distributions of discrete random variables.

Unit 14: Trigonometry

• Identities: Fundamental trigonometric ratios, compound angles, multiple/submultiple angles.

• Inverse Trigonometry: Domain, range, principal value branches, and fundamental properties of inverse trigonometric functions.

JEE (Main) Paper 2B (B.Planning)

Unit 01: Architectural Awareness & Mental Ability

• Awareness of Persons, Buildings, and Materials:

  • Key architectural personalities, iconic national and international buildings, and famous urban planning projects.

  • Identification and application of common building materials (e.g., brick, concrete, glass, steel, timber, stone).

• Objects and Texture in Built-Environment:

  • Recognition of spatial textures, materials, and objects related to architecture, land planning, and the built environment.

• Spatial & 3D Visualization:

  • Visualizing three-dimensional objects from two-dimensional drawings (orthographic projections to isometric/axonometric views).

  • Identifying different sides, views (top, front, side/elevation), and hidden edges of three-dimensional objects.

• Analytical Reasoning & Mental Ability:

  • Visual Reasoning: Pattern completion, mirror images, paper folding/cutting, counting geometric figures, and series continuation.

  • Numerical Reasoning: Data interpretation, numerical series, ratios, and basic spatial quantitative logic.

  • Verbal Reasoning: Analogy, classification, direction sense, logical sequences, and verbal logic tasks.

Unit 02: Three-Dimensional Perception & Design Fundamentals

• Three-Dimensional Perception:

  • Understanding, observing, and estimating the relative scale and proportions of objects, building forms, structural elements, and human figures.

• Visual Elements & Harmony:

  • Principles of color theory, color harmony, contrast, light and shadow effects, texture integration, and balance in spatial design.

• Form Transformation (2D & 3D):

  • Boolean Operations: Union (addition), subtraction (subtractive forms), and intersection of geometric forms.

  • Spatial Transformations: Rotation, scaling, mirroring, surface development (unfolding 3D shapes into 2D nets), and generation of volumes.

  • Projections & Views: Deriving top plans, front/side elevations, section views, and 3D isometric perspectives of given objects.

• Composition & Spatial Design:

  • Constructing 2D and 3D compositions using basic geometric or abstract shapes, forms, and patterns.

 JEE (Main) Paper 2B (B.Planning)

Unit 01: General Awareness

• Knowledge of Cities & Architecture: Prominent Indian and global cities, capital cities, smart cities, mega-cities, historical planning layouts, and landmark urban developments.

• Development & Environmental Issues: Urban sprawl, environmental degradation, climate change, solid waste management, housing shortages, traffic congestion, and sustainable development.

• Government Schemes & Programs: Major Indian central and state initiatives related to urban and rural development (e.g., AMRUT, PMAY, Smart Cities Mission, Swachh Bharat Mission, HRIDAY, PM-GATI Shakti).

Unit 02: Social Sciences

• History & Colonial Urbanization:

  • Rise of nationalism (global and Indian freedom movement).

  • The 19th-century global economy, industrialization, and colonial expansion.

  • Evolution of colonial cities (e.g., Bombay, Calcutta, Madras, New Delhi) and dual-city layouts.

• Resources & Infrastructure:

  • Resource types, conservation, and management (water, minerals, energy, forest).

  • Agricultural patterns, industrial zones, transport systems, and national economy.

• Polity & Governance:

  • The Constitution of India, federalism, power-sharing structures, local governance (73rd and 74th Constitutional Amendment Acts), political parties, and democratic processes.

• Socio-Economic Development & Settlement Study:

  • Concepts of economic growth vs. development, economic sectors, poverty, and inequality.

  • Urbanization patterns, rural-urban migration, social exclusion, demographics, and types of human settlements (nucleated, dispersed, linear).

Unit 03: Thinking Skills & Quantitative Aptitude

• Comprehension & Verbal Logic: Reading comprehension based on urban, social, or planning passages; critical reasoning and logical deduction.

• Map Reading & Spatial Mathematics:

  • Map scale interpretation, converting representative fractions (RF), calculating ground distance and area from map units.

  • Direction sense, bearings, coordinates, and spatial orientation.

• Data Interpretation & Statistics:

  • Reading and analyzing charts, graphs (bar, line, pie), and data tables.

  • Basic statistical concepts: mean, median, mode, standard deviation, percentages, ratios, and quantitative reasoning.

JEE Main 2027 Comprehensive Preparation Strategy

To secure a top percentile in JEE Main 2027 and qualify for JEE Advanced, your preparation needs to balance conceptual mastery, systematic problem-solving, and disciplined test-taking strategy across Classes 11 and 12.
 

Phase-Wise Preparation Roadmap

• Phase 1: Foundation & Core Concepts (Class 11 & Early Class 12)

  • Finish 100% of the NCERT textbooks for Physics, Chemistry, and Mathematics first.

  • Build strong fundamental clarity in high-weightage topics like Mechanics, Calculus, and Chemical Bonding.

  • Solve standard introductory problems from core reference books alongside school/coaching topics.

• Phase 2: Advanced Problem Solving & Speed Building (Mid Class 12)

  • Move to multi-conceptual and previous years' questions (PYQs from 2019 to 2026).

  • Focus on speed and accuracy, particularly in numerical-entry section questions.

  • Maintain subject-wise formula notebooks and mistake logs to track recurring errors.

• Phase 3: Mock Tests, Analysis & Final Revision (Last 3–4 Months)

  • Shift to full-length timed NTA-pattern mock tests (3 hours each) during your target shift timings.

  • Spend at least 2 hours analyzing every test to identify weak areas, calculation mistakes, and time-wasting questions.

  • Rely entirely on short notes, flashcards, and high-yield question sets for final revisions.

Recommended Reference Books

High-Yield Subject Strategies

• Physics: Focus heavily on visual intuition and free-body diagrams. Never memorize formulas without understanding their derivations and constraints.

• Chemistry: Treat NCERT as the absolute authority for Inorganic Chemistry (line-by-line reading). Master reaction mechanisms for Organic, and practice numerical calculations rigorously for Physical Chemistry.

• Mathematics: Practice length-management. JEE Main Math papers are notoriously calculation-intensive; learn when to skip a lengthy problem and return to it later.

NTA JEE Main 2027 admit card

Step-by-Step Guide to Download Admit Card

1. Official Portal: Go to the official website at jeemain.nta.ac.in.

2. Login Credentials: Click on the "JEE Main 2027 Admit Card" link. Enter your Application Number and Date of Birth (or Password).

3. Download & Verify: Preview all personal details, exam shift, date, and reporting time.

4. Printout: Print a clear copy on an A4 size sheet (preferably in color) including the Self-Declaration (Undertaking) section.

Verification Checklist: What to Check on Your Admit Card

Exam Day Checklist: What to Carry & Important Rules

• Mandatory Items Allowed inside the Hall:

  • Printed copy of the Admit Card with Self-Declaration (filled completely except for the candidate's signature, which must be signed in front of the invigilator).

  • One Passport-Size Photograph (matching the one uploaded in your application form; to be pasted on the attendance sheet).

  • Original Valid Photo ID (Aadhaar Card, Passport, PAN Card, Voter ID, or Driving License).

  • Simple, transparent Ballpoint Pen.

  • PwD Certificate (if applicable).

  • Transparent water bottle and 50 ml hand sanitizer.

• Prohibited Items:

  • Mobile phones, smartwatches, calculators, electronic devices.

  • Books, blank papers, notebooks, pencil boxes, geometry sets.

  • Rough sheets are provided at the center; you do not need to bring paper.

Official NTA Support & Helplines

If you face download errors, discrepancies in details, or missing confirmation pages, contact NTA directly:

• Official Website: jeemain.nta.ac.in / nta.ac.in

• Helpline Number: 011-40759000 or 011-69227700

• Official Email: jeemain@nta.ac.in

NTA JEE Main Admit Card Image

JEE Main Exam Level & Student Reaction Analysis (2022–2026)

JEE Main 2027: Answer Key Release, Response Sheet & Challenge Process

The National Testing Agency (NTA) will publish the provisional JEE Main 2027 Session 1 answer key within a week of concluding the exam. Along with the key, NTA will release the recorded response sheet and official question paper on its portal. Candidates can calculate their tentative scores before official results are announced.

Key Information Overview

• Official Website: jeemain.nta.nic.in

• Documents Released: Provisional Answer Key, Response Sheet, Question Paper

• Format: Online Candidate Login & PDF Format

• Challenge Fee: ₹200 per question (refundable if the challenge is accepted)

How to Download the JEE Main 2027 Answer Key

1. Go to the official portal: jeemain.nta.nic.in.

2. Select the JEE Main 2027 Answer Key download link.

3. Log in using your Application Number and Date of Birth/Password.

4. View your recorded response sheet and the provisional answer key on the dashboard.

5. Cross-reference the Question IDs and Option IDs with your responses to calculate your probable score.

How to Match Answer Keys Using Question & Option IDs

The provisional answer key lists Question IDs and Option IDs rather than the full text of questions. Follow these steps to verify your answers:

1. Download both your Recorded Response Sheet and the Official Question Paper.

2. Locate the specific Question ID on your response sheet.

3. Match that Question ID with the corresponding entry in the provisional answer key.

4. Compare the Option ID you selected with the Correct Option ID declared by NTA.

5. Note down any discrepancies between your response and the official key for potential challenges.

How to Challenge the JEE Main 2027 Provisional Answer Key

Candidates who identify discrepancies in the provisional key can submit an online objection during the designated challenge window.

1. Visit jeemain.nta.nic.in and click Challenge Answer Key.

2. Log in with your credentials and select the Question ID(s) you wish to contest.

3. Select the Correct Option ID according to your claim.

4. Upload supporting documentation (in PDF format) to validate your challenge.

5. Pay the processing fee of INR 200 per question via Debit Card, Credit Card, Net Banking, or UPI.

If subject experts uphold your objection, the INR 200 processing fee per accepted challenge will be refunded to your original payment account, and the corrected key will be applied across all candidate result calculations.

JEE Main 2027 Cutoff

The National Testing Agency (NTA) will announce the official JEE Main 2027 cutoff alongside the exam results. This qualifying cutoff represents the minimum percentile needed to sit for JEE Advanced. However, applicants should distinguish between the qualifying cutoff and the admission cutoff: while the former determines JEE Advanced eligibility, the latter is the minimum score required to secure a seat in participating institutes. Admission cutoffs vary based on the institute, engineering branch, and candidate category.

Official JEE Main Qualifying Cutoff (Percentile Category-Wise)

These cutoffs represent the minimum NTA score (percentile) required to qualify for JEE Advanced in their respective years

 
Key Distinction: Qualifying Cutoff vs. Admission Cutoff

• Qualifying Cutoff: Decided by NTA to determine eligibility for sitting in JEE Advanced.

• Admission Cutoff: Decided by JoSAA/CSAB during counseling. It indicates the Opening and Closing Ranks for securing a seat in NITs, IIITs, and GFTIs based on branch, quota (Home State / Other State), and category.

List of Key NITs and Admission Cutoff Links

Below is the list of top National Institutes of Technology (NITs). Their admission cutoffs depend on the branch (e.g., Computer Science, Electrical, Mechanical) and state quota.
 

JEE Main Cutoff for NITs

JEE Main Cutoff for IIITs

JEE Main Counselling Process

1.Official Portal Registration:

Visit josaa.nic.in and log in using your JEE Main Application Number and Password. Verify your personal details on screen to finalize the initial registration.

2.Choice Filling:

Select your preferred institutes and academic branches from the available options. Fill in as many preferences as possible to maximize your chances of getting a seat.

3.Choice Locking:

Review your choices carefully and lock them before the official deadline. Unlocked choices will automatically lock at the deadline.

4.Seat Allotment & Reporting:

Check the round-wise seat allotment results. Upon allocation, pay the acceptance fee, upload required documents, and report online or to the designated reporting center.

5.Final Institute Admission:

After the final allotment round, report directly to the allotted institute to pay the remaining balance fee and submit physical documentation to secure admission.

Key Participating Institutes & Seat Intake

National Institutes of Technology (NITs)

Indian Institutes of Information Technology (IIITs)

JEE Main 2027 Counselling Process & Steps

The Joint Seat Allocation Authority (JoSAA) will conduct the online seat allocation process at josaa.nic.in for candidates qualifying JEE Main 2027.

1. Online Registration: Visit josaa.nic.in, log in using your JEE Main 2027 Application Number and Password, and verify your profile details.

2. Choice Filling: Select preferred colleges (NITs, IIITs, GFTIs) and academic programs in priority order. Fill as many choices as possible.

3. Mock Seat Allotment: Review mock allotment results released by JoSAA to gauge probable seat allotment based on your rank and preferences.

4. Choice Locking: Lock your final preferences before the deadline. Unlocked choices will automatically lock after the cutoff date.

5. Seat Allotment & Reporting: Seats are allocated in multiple rounds based on rank, category, and filled choices. Candidates allotted seats must complete online reporting, upload documents, pay the seat acceptance fee, and select an option (Freeze, Float, or Slide).

6. Physical Reporting & Admission: After the final round, report to the allotted institute, pay the balance fee, and submit original documents for final verification.

Candidates who qualify based on their JEE Main 2027 ranks are eligible for seat allocation across 31 NITs, IIEST Shibpur, 26 IIITs, and 33 GFTIs. Refer to the tables below for the complete category-wise list of NTA JEE Main participating institutions.

JEE Main Participating Institutes: NITs & Seat Matrix

Below is the complete list of 31 National Institutes of Technology (NITs) along with their seat capacity:

 
JEE Main Participating Indian Institutes of Information Technology (IIITs)

 
JEE Main Participating Centrally Funded Technical Institutes (CFTIs / GFTIs)
 

Fee Structure of JEE Main Participating Institutes
 

List of documents required for JEE Main counselling and seat allotment:

Essential Documents for JoSAA Counselling

• Seat Allotment Letter: Provisional JoSAA seat allotment letter

• JEE Main Documents:

  • JEE Main Admit Card

  • JEE Main Score Card / Rank Card

• Identity & Photographs:

  • Valid Photo ID Proof (Aadhaar Card, Passport, Voter ID, PAN Card, or Driving License)

  • 3 Passport-size Photographs (must match the photo uploaded during registration)

• Educational & Age Proof:

  • Date of Birth Proof (Class X Certificate or Birth Certificate)

  • Class XII (or equivalent) Mark Sheet & Passing Certificate

• Category & Special Certificates (if applicable):

  • Caste / Category Certificate (SC / ST / OBC-NCL / EWS in the prescribed Central format)

  • PwD Certificate (if claiming disability quota)

  • Medical Fitness Certificate (as per JoSAA format)

JEE Main 2027 question paper 
It will be uploaded in 2027. The previous question paper pdf download with solution

 

JEE Main Master Question Papers Index (2023–2026)

 FOR JEE MAIN PREVIOUS YEAR PAPERS WITH SOLUTION (2022-2015) Click the link below

https://smartachievers.online/paper-year/previous-year-paper