Skoolmo
JEE Main 2020

Basic Information & Test Pattern

JEE, or Joint Entrance Examination, is an Entrance Examination that is required to be written by those interested in pursuing Engineering. It is constituted by two Examinations: JEE Main and JEE Advanced (regarded internationally as one of the most challenging Undergraduate Admission Tests). Some 10.5 Lakh+ aspirants write this Exam each year. With Skoolmo’s Mock-Tests, one can practice, learn and score better...with ease!


All JEE Examinations will be held in 'Computer Based Test' (CBT) Mode only, except the Drawing Test for B.Arch., which will be held in “Pen & Paper” (offline) Mode. A Candidate may appear in B.E./B.Tech., B.Arch. & B.Planning, depending upon the Course/s he/she wishes to pursue.

JEE Test Pattern


Important Dates

STATUS DATE EVENT
  CLOSED   03 SEP, 2019 to 100 OCT, 2019 Apply online on www.nta.ac.in
  CLOSED   By 10 OCT, 2019 Pay Fees online
  CLOSED   12 SEP, 2019 to 30 SEP, 2019 Photo correction
  CLOSED   14 OCT, 2019 to 20 OCT, 2019 Application correction
  CLOSED   From 04 NOV 2019 to 08 NOV 2019 Application [J & K Candidates]
  CLOSED   By 06 DEC, 2019 Admit Card available
  CLOSED   By 06 JAN, 2020 Examination (between)
  CLOSED   31 JAN, 2020 Results
  CLOSED   07 FEB, 2020 to 07 MAR, 2020 Apply online on www.nta.ac.in
  CLOSED   By 07 MAR, 2020 Pay Fees online
POSTPONED By 16 MAR, 2020 Admit Card available
POSTPONED 03 APR, 2020 to 09 APR, 2020 Examination (between) *POSTPONED*
POSTPONED 30 APR, 2020 Results *POSTPONED*


Eligibility

  • Nationality

    1. Indian Nationals, NRIs, PIOs, OCIs and Foreign Nationals.
  • Qualifying Exam

    1. Candidate should have passed class 12 or qualifying the exam in 2018 or 2019.
    2. Candidate appearing in class 12 or equivalent qualifying exam in 2020 can also apply for JEE Main.
  • Age Limit

    1. There is no age limit. However, the He/She have to pass 10+2 or equivalent exam in 2018 or 2019.
    2. Candidates appearing for 10+2 or equivalent exam in 2020 are also eligible to apply.
  • Number of attempts

    1. JEE Main candidates can participate in the entrance exam for 3 consecutive years. The exam will be conducted twice a year, they may appear in both the attempts. The attempt for an academic year will be considered as One.
  • Subject/subjects combination for admission into NITs, IIITs and GFTIs

    1. Should have passed qualifying examination with
    2. B.Tech/ B.E
      • Physics
      • Mathematics
      • Any one of (Chemistry, Biology, Biotechnology, Technical Vocational Subject),
    3. B.Arch
      • Mathematics
      • Physics
      • Chemistry
    4. B.Plan
  • JEE Main Eligibility Criteria for Qualifying Exam

    Candidates should have to qualify in the following exam to be eligible for the JEE Main 2020:

    1. Class 12 or equivalent exam conducted by a recognized Central or State board like ICSE, CBSE, CISCE etc.
    2. Intermediate or Pre-Degree Course exam or Pre-University Course conducted by any of the recognized Board/University.
    3. H.S.C - Vocational examination
    4. The final exam of the two year course of the Joint Services Wing of the National Defence Academy.
    5. AICTE or SBTE recognised Diploma of at least three years duration.
    6. National Institute of Open Schooling conducted Senior Secondary School Examination with a minimum of five subjects.
    7. For admission to IITs, General Certificate Education (GCE) exam (London/ Cambridge/ Sri Lanka) at Advanced level (A).
    8. Association of Indian Universities (AIU) recognised School/ Board/ University examination in India or in any foreign country recognised as equivalent to the 12th class.
  • JEE Main Eligibility Criteria 2020 for Year of appearance in the Qualifying Exam

    1. Candidates who have passed class 12 or any other equivalent exam in 2018 or 2019 or those who will be appearing in class 12 or any other equivalent examination in 2020 will be eligible to appear in JEE Main 2020. Those who have passed class 12 or equivalent examination in 2017 or before and those who will appear in 2021 or later will not be eligible to appear in JEE Main 2020. Aspirants who have appeared for their class 12 in 2017, failed in 2017 but have appeared again in 2018 and passed are not eligible for JEE Main 2020.

Examination Centres

List of Examination Centres for JEE:

  • 1. ARUNACHAL PRADESH

    1. ITANAGAR/NAHARLAGUN - AL01
  • 2. ASSAM

    1. DIBRUGARH - AM01
    2. GUWAHATI - AM02
    3. JORHAT - AM03
    4. SILCHAR - AM04
    5. TEZPUR - AM05
  • 3. ANDAMAN & NICOBAR ISLANDS

    1. PORT BLAIR - 1101
  • 4. ANDHRA PRADESH

    1. Anantapur - AP01
    2. Bheemavaram - AP03
    3. Chirala - AP04
    4. Chittoor - AP05
    5. Eluru - AP06
    6. Guntur - AP07
    7. Kadapa - AP08
    8. Kakinada - AP09
    9. Kurnool - AP10
    10. Nellore - AP11
    11. Ongole - AP12
    12. Rajahmundry - AP13
    13. Srikakulam - AP14
    14. Tirupati - AP16
    15. Vijayawada - AP17
    16. Visakhapatnam - AP18
    17. Vizianagaram - AP19
    18. Narasaraopet - AP20
    19. Proddatur - AP21
    20. Surampalem - AP22
  • 5. BIHAR

    1. Bhagalpur - BR02
    2. Darbhanga - BR04
    3. Gaya - BR05
    4. Muzaffarpur - BR06
    5. Patna - BR07
    6. Purnea - BR08
    7. Arrah - BR09
  • 6. CHHATTISGARH

    1. Bhilai/Durg - CG01
    2. Bilaspur - CG02
    3. Raipur - CG03
  • 7. CHANDIGARH

    1. Chandigarh/Mohali - CH01
  • 8. DAM & DIU

    1. Daman - DD01
    2. Diu - DD02
  • 9. DELHI/NEW DELHI

    1. Delhi - DL01
  • 10. DADRA & NAGAR HAVELI

    1. Dadra Nagar Haveli - DN01
  • 11. GUJARAT

    1. Ahmedabad - GJ01
    2. Anand - GJ02
    3. Bhavnagar - GJ03
    4. Jamnagar - GJ06
    5. Junagarh - GJ07
    6. Mehsana - GJ08
    7. Rajkot - GJ10
    8. Surat - GJ11
    9. Vadodara - GJ12
    10. Valsad/Vapi - GJ13
    11. Himatnagar - GJ14
  • 12. GOA

    1. Panaji/Madgaon - GO01
  • 13. HIMACHAL PRADESH

    1. Bilaspur (hp) - HP01
    2. Hamirpur (hp) - HP03
    3. Kangra - HP04
    4. Shimla - HP06
    5. Solan - HP07
    6. Mandi - HP08
    7. Una - HP09
    8. Kullu - HP10
  • 14. HARAYANA

    1. Ambala - HR01
    2. Faridabad - HR03
    3. Gurugram - HR04
    4. Hisar - HR05
    5. Karnal - HR06
    6. Kurukshetra - HR07
    7. Panipat - HR08
    8. Sonepat - HR09
    9. Yamuna Nagar - HR10
  • 15. JHARKHAND

    1. Bokaro Steel City - JH01
    2. Dhanbad - JH02
    3. Jamshedpur - JH03
    4. Ranchi - JH04
    5. Hazaribagh - JH05
  • 16. JAMMU & KASHMIR

    1. Baramulla - JK01
    2. Jammu - JK02
    3. Samba - JK03
    4. Srinagar - JK04
  • 17. KARNATAKA

    1. Belgavi (Belgaum) - KK02
    2. Bellary - KK03
    3. Bengaluru - KK04
    4. Bidar - KK05
    5. Devanagere - KK06
    6. Gulbarga - KK08
    7. Hassan - KK09
    8. Dharwad/hubballi(Hubli) - KK10
    9. Mangaluru - KK12
    10. Mysore - KK14
    11. Shivamogga(Shimoga) - KK15
    12. Tumkur - KK16
    13. Udupi/Manipal - KK17
    14. Mandya - KK18
  • 18. KERALA

    1. Alappuzha - KL01
    2. Ernakulam - KL04
    3. Idukki - KL05
    4. Kannur - KL07
    5. Kasaragod - KL08
    6. Kollam - KL09
    7. Kottayam - KL11
    8. Kozhikode - KL12
    9. Malappuram - KL13
    10. Palakkad - KL15
    11. Pathanamthitta - KL16
    12. Thiruvananthapuram - KL17
    13. Thrissur - KL18
  • 19. LAKSHADWEEP

    1. Kavaratti - LD01
  • 20. LADAKH

    1. Leh - LL01
  • 21. MEGHALAYA

    1. Shillong - MG01
  • 22. MANIPUR

    1. Imphal - MN01
  • 23. MADHYA PRADESH

    1. Balaghat - MP01
    2. Betul - MP02
    3. Bhopal - MP03
    4. Chhindwara - MP05
    5. Gwalior - MP06
    6. Indore - MP07
    7. Jabalpur - MP08
    8. Khargaon - MP09
    9. Mandsaur - MP10
    10. Rewa - MP11
    11. Sagar - MP12
    12. Satna - MP13
    13. Shahdol - MP14
    14. Ujjain - MP15
    15. Vidisha - MP16
  • 24. MAHARASHTRA

    1. Ahmednagar - MR01
    2. Akola - MR02
    3. Amravati - MR03
    4. Aurangabad (mr) - MR04
    5. Chandrapur - MR09
    6. Dhule - MR10
    7. Gadchiroli - MR11
    8. Gondia - MR12
    9. Jalgaon - MR13
    10. Kolhapur - MR14
    11. Latur - MR15
    12. Mumbai/Mumbai Suburban - MR16
    13. Nagpur - MR17
    14. Nanded - MR18
    15. Nasik - MR19
    16. Navi Mumbai - MR20
    17. Parbhani - MR21
    18. Pune - MR22
    19. Raigad - MR23
    20. Ratnagiri - MR24
    21. Sangli - MR25
    22. Satara - MR26
    23. Solapur - MR27
    24. Thane - MR28
    25. Wardha - MR29
  • 25. MIZORAM

    1. Aizwal - MZ01
  • 26. NAGALAND

    1. Dimapur - NL01
    2. Kohima - NL02
  • 27. ODISHA

    1. Balasore - OR02
    2. Berhampur - OR03
    3. Bhubaneswar - OR04
    4. Cuttack - OR05
    5. Dhenkanal - OR06
    6. Rourkela - OR08
    7. Sambalpur - OR09
  • 28. PUNJAB

    1. Amritsar - PB01
    2. Bathinda - PB02
    3. Jalandhar - PB04
    4. Ludhiana - PB05
    5. Pathankot - PB07
    6. Patiala - PB08
    7. Sangrur - PB11
  • 29. PUDUCHERRY

    1. Puducherry - PO01
  • 30. RAJASTHAN

    1. Ajmer - RJ01
    2. Alwar - RJ02
    3. Bikaner - RJ05
    4. Jaipur - RJ06
    5. Jodhpur - RJ07
    6. Kota - RJ08
    7. Sikar - RJ09
    8. Sriganganagar - RJ10
    9. Udaipur - RJ11
  • 31. SIKKIM

    1. Gangtok - SM01
  • 32. TRIPURA

    1. Agartala - TA01
  • 33. TELANGANA

    1. Hyderabad - TL01
    2. Karimnagar - TL02
    3. Khammam - TL03
    4. Mahabubnagar - TL04
    5. Nalgonda - TL05
    6. Warangal - TL07
  • 34. TAMIL NADU

    1. Chennai - TN01
    2. Coimbatore - TN02
    3. Cuddalore - TN03
    4. Kanchipuram - TN05
    5. Kanyakumari - TN06
    6. Karur - TN07
    7. Madurai - TN08
    8. Nagercoil - TN09
    9. Namakkal - TN10
    10. Salem - TN11
    11. Tanjore - TN12
    12. Thoothukudi - TN13
    13. Tiruchirappalli - TN14
    14. Tirunelveli - TN15
    15. Tiruvallur - TN16
    16. Tiruvannamalai - TN17
    17. Vellore - TN18
    18. Villupuram - TN19
    19. Virudhunagar - TN20
  • 35. UTTARAKHAND

    1. Dehradun - UK01
    2. Haldwani - UK02
    3. Haridwar - UK03
    4. Nainital - UK04
    5. Pantnagar - UK05
    6. Roorkee - UK06
  • 36. UTTAR PRADESH

    1. Agra - UP01
    2. Aligarh - UP02
    3. Allahabad - UP03
    4. Bareilly - UP04
    5. Faizabad - UP06
    6. Ghaziabad - UP07
    7. Gorakhpur - UP08
    8. Greater Noida/Noida - UP09
    9. Jhansi - UP10
    10. Kanpur - UP11
    11. Lucknow - UP12
    12. Mathura - UP13
    13. Meerut - UP14
    14. Moradabad - UP15
    15. Muzaffarnagar - UP16
    16. Sitapur - UP17
    17. Varanasi - UP18
  • 37. WEST BENGAL

    1. Asansol - WB01
    2. Bardhman - WB02
    3. Durgapur - WB04
    4. Hooghly - WB06
    5. Howrah - WB07
    6. Kalyani - WB08
    7. Kolkata - WB10
    8. Siliguri - WB11


Examination Centres Outside India

CITY CODE
Bahrain ZZ01
Colombo ZZ02
Doha ZZ03
Dubai ZZ04
Kathmandu ZZ05
Muscat ZZ06
Riyadh ZZ07
Sharjah ZZ08
Singapore ZZ09


Syllabus

The National Testing Agency (NTA) recommends the following Syllabus for the Joint Entrance Examination (JEE-Main), for Admission to Indian Institutes of Technology (IIT) and other Engineering Colleges across India. Each Module has been broken down into important Topics, to make for easy Studying.


Syllabus for Paper-1 [B.E./B.TECH.]

PHYSICS: Grade XI (10)

  • 1. Physics & Measurement

    1. Fundamental & Derived Units, SI Units.
    2. Least Count, Accuracy & Precision of Measuring Instruments.
    3. Errors in Measurement.
    4. Dimensions of Physical Quantities.
    5. Dimensional Analysis & its Applications.
  • 2. Kinematics

    1. Frame of Reference.
    2. Motion in a Straight Line: Distance, Displacement, Speed & Velocity.
    3. Uniform & Non-Uniform Motion, Average Speed & Instantaneous Velocity.
    4. Uniformly Sccelerated Motion & Relations for Uniformly Accelerated Motion.
    5. Velocity-Time, Position-Time Graphs.
    6. Scalars & Vectors, Vector Addition & Subtraction, Zero Vector, Scalar & Vector Products, Unit Vector, Resolution of a Vector.
    7. Relative Velocity, Motion in a Plane, Projectile Motion.
  • 3. Laws of Motion

    1. Force and Inertia.
    2. Newton’s First Law of Motion; Momentum, Newton’s Second Law of Motion; Impulse; Newton’s Third Law of Motion.
    3. Law of Conservation of Linear Momentum and its Applications, Equilibrium of Concurrent Forces.
    4. Static & Kinetic Friction, Laws of Friction, Rolling Friction.
    5. Dynamics of Uniform Circular Motion: Centripetal Force and Centrifugal Force & its Applications.
  • 4. Work, Energy & Power

    1. Work done by a Constant Force & a Variable Force.
    2. Conservative & Non-Conservative Forces.
    3. Kinetic & Potential Energies.
    4. Potential Energy of a Spring, Conservation of Mechanical Energy.
    5. Work Energy Theorem, Power.
    6. Elastic & Inelastic Collisions in One & Two Dimensions.
  • 5. Rotational Motion

    1. Centre of Mass of a Two-Particle System, Momentum Conservation.
    2. Centre of Mass of a Rigid Body; Moment of Inertia, Radius of Gyration.
    3. Parallel & Perpendicular Axes Theorems and their Applications.
    4. Moment of Inertia for Simple Geometrical Objects.
    5. Basic Concepts of Rotational Motion & Equations of Rotational Motion.
    6. Moment of a Force, Torque, Angular Momentum.
    7. Conservation of Angular Momentum & its Applications.
    8. Rigid Body Rotation.
  • 6. Gravitation

    1. The Universal Law of Gravitation.
    2. Acceleration due to Gravity and its Variation with Altitude and Depth.
    3. Kepler’s Laws of Planetary Motion.
    4. Gravitational Field & its Intensity.
    5. Gravitational Potential Energy; Gravitational Potential.
    6. Escape Velocity.
    7. Orbital Velocity of a Satellite & Geo-Stationary Satellites.
  • 7. Properties of Solids & Liquids

    1. Elastic Behaviour, Stress-Strain Relationship.
    2. Hooke’s Law, Young’s Modulus, Bulk Modulus, Modulus of Rigidity.
    3. Poisson's Ratio, Thermal Stress & strains.
    4. Pressure due to a Fluid Column; Pascal’s Law & its Applications.
    5. Viscosity, Stokes’ Law, Terminal Velocity.
    6. Streamline & Turbulent Flow, Reynolds Number.
    7. Equation of Continuity.
    8. Bernoulli’s Pprinciple & its Applications.
    9. Surface Energy & Surface Tension, Angle of Contact, Application of Surface Tension – Drops, Bubbles & Capillary Rise.
    10. Heat, Temperature, Thermal Expansion.
    11. Specific Heat Capacity, Calorimetry; Change of State, Latent Heat, Heating Curve.
    12. Heat Transfer-Conduction, Convection & Radiation.
    13. Perfect Black Body, Kirchhoff's Law of Radiation & Stefan's Law.
    14. Newton’s Law of Cooling.
    15. Black Body Radiation & Wein's Displacement Law.
  • 8. Thermodynamics

    1. Thermal Equilibrium, Zeroth Law of Thermodynamics, Concept of Temperature.
    2. Heat, Work & Internal Energy.
    3. First Law of Thermodynamics.
    4. Thermodynamic Processes.
    5. Second Llaw of Thermodynamics: Reversible & Irreversible Processes.
    6. Carnot Engine & its Efficiency.
    7. Refrigerator.
  • 9. Kinetic Theory of Gases

    1. Equation of State of a Perfect Gas.
    2. Kinetic Theory of Gases – Assumptions, Concept of Pressure.
    3. Work done on Compressing a Gas.
    4. Kinetic Energy & Temperature: RMS Speed of Gas Molecules.
    5. Degrees of Freedom, Law of Equipartition of Energy.
    6. Applications to Specific Heat Capacities of Gases; Mean Free Path, Avogadro’s Number.
  • 10. Oscillations & Waves

    1. Periodic Motion – Period, Frequency, Displacement as a Function of Time; Periodic Functions.
    2. Simple Harmonic Motion (S.H.M.) & its Equation; Phase.
    3. Oscillations of a Spring - Restoring Force & Force Constant.
    4. Energy in S.H.M. – Kinetic & Potential Energies.
    5. Composition of Two S.H.Ms.
    6. Simple Pendulum – Expression for its Ttime Period; Free, Forced, Damped & Resonance Vibrations.
    7. Wave Motion: Longitudinal & Transverse Waves, Speed of a Wave.
    8. Displacement Relation for a Progressive Wave.
    9. Principle of Superposition of Waves, Rreflection of Waves.
    10. Standing Waves in Strings & Organ Pipes, Fundamental Mode & Harmonics, Beats.
    11. Doppler Effect in Sound.

PHYSICS: Grade XI (10)

  • 11. Electrostatics

    1. Electric Charges: Conservation of Charge.
    2. Coulomb’s Law-Forces between Two-Point Charges, Forces between Multiple Charges.
    3. Superposition Principle & Continuous Charge Distribution.
    4. Electric field: Electric Field Lines, Continuous Charge Distribution.
    5. Motion of a Charged Particle in an Electric Field.
    6. Electric Dipole, Electric Field Due to a Dipole, Torque on a Dipole in a Uniform Electric Field.
    7. Electric Flux, Gauss’s Law & its Applications.
    8. Electric Potential & its Calculation for a Point Charge, Electric Dipole & System of Charges.
    9. Equipotential Surfaces, Electrical Potential Energy of a System of Two-Point Charges in an Electrostatic Field.
    10. Conductors & Insulators, Dielectrics & Electric Polarization.
    11. Capacitor, Combination of Capacitors in Series and in Parallel, Capacitance of a Parallel Plate Capacitor with & without Dielectric Medium between the Plates.
    12. Energy Stored in a Capacitor.
  • 12. Current Electricity

    1. Electric Current, Drift Velocity.
    2. Ohm’s Law, Electrical Resistivity, Electrical Resistance, Resistances of Different Materials.
    3. V-I characteristics of Ohmic and nonohmic conductors.
    4. Colour Code for Resistors; Series & Parallel Combinations of Resistors, Temperature Dependence of Resistance.
    5. Electrical Energy & Power.
    6. Electric Cell & its Internal Resistance.
    7. Potential Difference and EMF of a Cell, Combination of Cells in Series & in Parallel.
    8. Kirchhoff’s Laws & their Applications.
    9. Wheatstone Bridge, Metre Bridge.
    10. Potentiometer – Principle & its Applications.
  • 13. Magnetic Effects of Current & Magnetism

    1. Biot – Savart’s Law & its Application.
    2. Ampere’s Law & its Applications.
    3. Force on a Moving Charge in Uniform Magnetic & Electric Fields; Cyclotron.
    4. Force on a Current-Carrying Conductor in a Uniform Magnetic Field.
    5. Force between Two Parallel Current-Carrying Conductors; Definition of Ampere.
    6. Torque Experienced by a Current Loop in Uniform Magnetic Field;
    7. Moving Coil Galvanometer, its Current Sensitivity AND Conversion to Ammeter & Voltmeter.
    8. Current Loop as a Magnetic Dipole & its Magnetic Dipole Moment.
    9. Bar Magnet as an Equivalent Solenoid, Magnetic Field Lines; Earth’s Magnetic Field & Magnetic Elements; Para-, Dia- & Ferro- Magnetic Substances.
    10. Magnetic Susceptibility & Permeability, Hysteresis, Electromagnets & Permanent Magnets.
  • 14. Electromagnetic Induction & Alternating Currents

    1. Magnetic Flux.
    2. Faraday’s Law, Induced EMF & Current; Lenz’s Law, Eddy Currents.
    3. Self & Mutual Inductance.
    4. Alternating Currents, Peak & RMS Value of Alternating Current/Voltage; Reactance & Impedance.
    5. LCR Series Circuit, Resonance; Quality Factor, Power in AC Circuits, Wattless Current.
    6. Choke Coil, AC Generator & Transformer.
  • 15. Electromagnetic Waves

    1. Electromagnetic Waves & their Characteristics.
    2. Maxwell's Equations.
    3. Properties of Electromagnetic Waves
    4. Transverse Nature of Electromagnetic Waves.
    5. Electromagnetic Spectrum (Radio Waves, Microwaves, Infrared, Visible, Ultraviolet, X-Rays, Gamma Rays).
    6. Applications of E.M. Waves.
  • 16. Optics

    1. Reflection & Refraction of Light at Plane & Spherical Surfaces.
    2. Mirror Formula, Total Internal Reflection & its Applications.
    3. Lens Formula, Magnification, Power of a Lens, Combination of Thin Lenses in Contact.
    4. Deviation & Dispersion of Light by a Prism.
    5. Microscope & Astronomical Telescope (Reflecting & Refracting) & their Magnifying Powers.
    6. Wave Optics: Wavefront & Huygens’ Principle.
    7. Laws of Reflection & Refraction using Huygens’ Principle.
    8. Interference, Young’s Double Slit Experiment & Expression for Fringe Width.
    9. Diffraction due to a Single Slit, Width of Central Maximum.
    10. Resolving Power of Microscopes & Astronomical Telescopes.
    11. Polarisation, Plane Polarised Light; Brewster’s Law, Uses of Plane Polarized Light & Polaroids.
  • 17. Dual Nature of Matter & Radiation

    1. Dual Nature of Radiation.
    2. Photoelectric Effect, Hertz & Lenard’s Observations.
    3. Einstein’s Photoelectric Equation; Laws of Photoelectric Emission Effect.
    4. Matter Waves-Wave Nature of Particle, de Broglie Relation.
    5. Davisson-Germer Experiment.
  • 18. Atoms & Nuclei

    1. Alpha-Particle Scattering Experiment; Rutherford’s Model of Atom.
    2. Bohr Model, Energy Levels, Hydrogen Spectrum.
    3. Ionisation Energy & Potential; Excitation Energy & Potential.
    4. Composition & Size of Nucleus, Atomic Masses, Isotopes, Isobars; Isotones.
    5. Radioactivity-Alpha, Beta & Gamma Particles/Rays and their Properties; Radioactive Decay Law.
    6. Mass-Energy Relation, Mass Defect; Binding Energy per Nucleon & its Variation with Mass Number.
    7. Nuclear Fission & Fusion.
  • 19. Electronic Devices

    1. Energy Bands in Solids, Conductors, Insulators & Semiconductors.
    2. Semiconductors; Semiconductor Diode: I-V Characteristics in Forward & Reverse Bias.
    3. Diode as a Rectifier; I-V Characteristics of LED
    4. Photodiode, Solar Cell & Zener Diode; Zener Diode as a Voltage Regulator.
    5. Junction Transistor, Transistor Action, Characteristics of a Transistor; Transistor as an Amplifier (Common Emitter Configuration) & Oscillator; Transistor as a Switch.
    6. Logic Gates (OR, AND, NOT, NAND and NOR).
  • 20. Communication Systems

    1. Basic Elements of a Communication System (Block Diagram only).
    2. Bandwidth of Signals.
    3. Bandwidth of Transmission Medium.
    4. Propagation of Electromagnetic Waves in the Atmosphere; Sky & Space Wave Propagation.
    5. Need for Modulation.
      • Amplitude & Frequency Modulation.
      • Demodulation or Detection.
      • Satellite Communication.

PHYSICS: Section B

  • 1. Experimental Skills

    1. Vernier Callipers - its use to Measure Internal & External Diameter and Depth of a Vessel.
    2. Screw-Gauge - its use to Determine Thickness/Diameter of Thin Sheet/Wire.
    3. Simple Pendulum - Dissipation of Energy by Plotting a Graph between Square of Amplitude & Time.
    4. Metre Scale - Mass of a Given Object by Principle of Moments.
    5. Young's Modulus of Elasticity of the Material of a Metallic Wire.
    6. Surface Tension of Water by Capillary Rise & Effect of Detergents.
    7. Co-Efficient of Viscosity of a Given Viscous Liquid by Measuring Terminal Velocity of a Given Spherical Body.
    8. Plotting a Cooling Curve for the Relationship between the Temperature of a Hot Body & Time.
    9. Speed of Sound in Air at Room Temperature using a Resonance Tube.
    10. Specific Heat Capacity of a Given:
      • solid and
      • Liquid - by Method of Mixtures.
    11. Resistivity of the Material of a Given Wire using Metre Bridge.
    12. Resistance of a Given Wire using Ohm’s Law.
    13. Potentiometer -
      • Comparison of EMF of Two Primary Cells.
      • Determination of Internal Resistance of a Cell.
    14. Resistance & Figure of Merit of a Galvanometer by Half Deflection Method.
      Focal Length of:
      • Convex Mirror
      • Concave Mirror and
      • Convex Lens using Parallax Method.
    15. Plot of Angle of Deviation vs Angle of Incidence for a Triangular Prism.
    16. Refractive Index of a Glass Slab using Travelling Microscope.
    17. Characteristic Curves of a p-n Junction Diode in Forward & Reverse Bias.
    18. Characteristic Curves of a Zener Diode & Finding Reverse Break Down Voltage.
    19. Characteristic Curves of a Transistor & Finding Current Gain & Voltage Gain.
    20. Identification of Diode, LED, Transistor, IC, Resistor, Capacitor from Mixed Collection of such Items.
      Using Multimeter to:
      • Identify Base of a Transistor
      • Distinguish between NPN & PNP Transistors.
      • See the Unidirectional Flow of Current in Case of a Diode & an LED.
      • Check the Correctness of a Given Electronic Component (Diode, Transistor or IC).

CHEMISTRY: Grade XI
Section A - Physical Chemistry
(7)

  • 1. Some Basic Concepts of Chemistry

    1. Matter & its Nature.
    2. Physical Quantities & their Measurements in Chemistry, Precision & Accuracy, Significant Figures.
    3. SI Units, Dimensional Analysis.
    4. Laws of Chemical Combination.
    5. Dalton’s Atomic Theory.
    6. Concept of Atom, Molecule, Eement & Compound.
    7. Atomic & Molecular Masses, Equivalent Weight.
    8. Mole Concept & Molar Mass.
    9. Percentage Composition, Empirical & Molecular Formulae.
    10. Chemical Equations & Stoichiometry.
  • 2. States of Matter

    1. Classification of Matter into Solid, Liquid & Gaseous States.
    2. Gaseous State: Measurable Properties of Gases.
    3. Gas Laws – Boyle’s Law, Charles’ Law, Gay-Lussac’s Law, Graham’s Law of Diffusion, Avogadro’s Law, Dalton’s Law of Partial Pressure.
    4. Ideal Gas Equation.
    5. Kinetic Theory of Gases (only Postulates).
    6. Concept of Average, Root Mean Square & Most Probable Velocities.
    7. Real Gases, Deviation from Ideal Behaviour, Compressibility Factor & van der Waal's Equation.
    8. Liquefaction of Gases & Critical Temperature.
    9. Liquid State: Properties of Liquids – Vapour Pressure, Viscosity & Surface Tension and Effect of Temperature on them (Qualitative Treatment only).
  • 3. Atomic Structure

    1. Subatomic Particles.
    2. Thomson & Rutherford Atomic Models and their Limitations.
    3. Development's Leading to the Bohr's Model of Atom.
    4. Nature of Electromagnetic Radiation, Photoelectric Effect.
    5. Spectrum of Hydrogen Atom, Bohr Model of Hydrogen Atom – its Postulates & Limitations.
    6. Dual Nature of Matter, de-Broglie’s Relationship, Heisenberg’s Uncertainty Principle.
    7. Elementary Ideas of Quantum Mechanics: Quantum Mechanical Model of Atom.
    8. Rules for Filling Electrons in Orbitals – Aufbau Principle, Pauli’s Exclusion Principle & Hund’s Rule.
    9. Various Quantum Numbers (Principal, Angular Momentum & Magnetic Quantum Numbers) & their Significance.
    10. Shapes of s, p & d – Orbitals, Electron Spin & Spin Quantum Number.
  • 4. Chemical Bonding & Molecular Structure

    1. Kossel – Lewis Approach to Chemical Bond Formation.
    2. Ionic Bond: Formation of Ionic Bonds, Factors Affecting the Formation of Ionic Bonds; Calculation of Lattice Ethalpy.
    3. Covalent Bond: Concept of Electronegativity, Fajan’s Rule, Dipole Moment; Bond Parameters & Resonance.
    4. Coordinate Bonding.
    5. Valence Shell Electron Pair Repulsion (VSEPR) Theory & Shapes of Simple Molecules.
    6. Valence Bond Theory.
    7. Molecular Orbital Theory.
  • 5. Chemical Thermodynamics

    1. Fundamentals of Thermodynamics & Types of Processes.
    2. Concept of Work, Heat & Internal Energy.
    3. First Law of Thermodynamics - Enthalpy, Heat Capacity, Molar Heat Capacity.
    4. Hess’s Law of Constant Heat Summation.
    5. Entropy Change & Bond Energy(Enthalpy).
    6. Enthalpies of Bond Dissociation, Combustion, Formation, Atomization, Sublimation, Phase Transition, Hydration, Ionization & Solution.
    7. Second Law of Thermodynamics.
    8. Third Law of Thermodynamics.
    9. Gibbs Free Energy(∆G) & Spontaneity of Processes.
    10. ∆G of the Universe & ∆S of the System as Criteria for Spontaneity, ∆G (Standard Gibbs Energy Change) and Equilibrium Constant.
  • 6. Equilibrium

    1. Meaning of Equilibrium & Concept of Dynamic Equilibrium.
    2. Equilibria involving Physical Processes: Solid-Liquid, Liquid–Gas and Solid–Gas Equilibria, Henry’s Law.
    3. Equilibria involving Chemical Processes: Law of Chemical Equilibrium.
    4. Equilibrium Constants (K_p and K_c) & their Significance, Significance of ∆G & ∆G^0 in Chemical Equilibria.
    5. Factors affecting Equilibrium: Concentration, Pressure, Temperature, Effect of Ctalyst & Inert Gas.
    6. Le Chatelier’s Principle.
    7. Ionic Equilibrium: Weak & Strong Electrolytes, Ionization of Electrolytes.
    8. Various Concepts of Acids & Bases (Arrhenius, Bronsted – Lowry & Lewis) and their Ionization.
    9. Ionization of Water & pH Scale.
    10. Common Ion Effect, Hydrolysis of Salts & pH of their Solutions.
    11. Solubility of Sparingly Soluble Salts & Solubility Products.
    12. Buffer Solutions.
  • 7. Redox Reactions & Electrochemistry

    1. Electronic Concepts of Oxidation & Reduction.
    2. Oxidation Number.
    3. Redox Reactions & Balancing Redox Reactions.

CHEMISTRY: Grade XI
Section B - Inorganic Chemistry
(5)

  • 8. Classification of Elements & Periodicity in Properties

    1. Modern Periodic Law & Present Form of the Periodic Table.
    2. Classification of Elements.
    3. Periodic Trends in Properties of Elements Atomic & Ionic Radii, Ionization Enthalpy, Electron Gain Enthalpy, Electronegativity, Valency and Chemical Reactivity.
  • 9. Hydrogen

    1. Position of Hydrogen in Periodic Table, Isotopes, Preparation, Properties & Uses of Hydrogen.
    2. Hydrides: Ionic, Covalent & Interstitial Hydrides.
    3. Physical & Chemical Properties of Water & Heavy Water.
    4. Structure, Preparation, Reactions & Uses of Hydrogen Peroxide.
    5. Hydrogen as a Fuel.
  • 10. s-Block Elements (Alkali & Alkaline Earth Metals)

    1. General Introduction, Electronic Configuration.
    2. General Trends in Physical & Chemical Properties of Elements.
    3. Anomalous Properties of the First Element of each Group & Diagonal Relationship.
    4. Preparation & Properties of some Important Compounds – Sodium Carbonate, Sodium Hydroxide & Sodium Hydrogen Carbonate.
    5. Industrial Uses of Lime, Limestone, Plaster of Paris & Cement.
    6. Biological Significance of Na, K, Mg & Ca.
  • 11. p-Block Elements

    1. General Introduction: Electronic Configuration and General Trends in Physical & Chemical Properties of Elements Across Periods & Down Groups; Unique Behaviour of the First Element in Each Group.
    2. Group – 13: Preparation, Properties and Uses of Boron & Aluminium; Properties of Boric Acid, Borax, Diborane, Boron Trifluoride, Aluminium Cloride & Alums.
    3. Group – 14: Allotropes of Carbon, Tendency for Catenation; Structure & Properties of Silicates & Zeolites.
  • 12. Environmental Chemistry

    1. Pollutants & Pollution.
    2. Atmospheric Pollution – Tropospheric & Stratospheric.
    3. Tropospheric Pollutants – Gaseous Pollutants: Oxides of Carbon, Nitrogen & Sulphur, Hydrocarbons; their Sources, Harmful Rffects& Prevention; Greenhouse Effect & Global Warming; Acid Rain.
    4. Particulate Pollutants: Smoke, Dust, Smog, Fumes, Mist; their Sources, Harmful Efects & Prevention.
    5. Stratospheric Pollution- Formation & Breakdown of Ozone, Depletion of Ozone Layer – its Mechanism & Effects.
    6. Water Pollution – Major Pollutants such as: Pathogens, Organic Wastes & Chemical Pollutants; their Harmful Effects & Prevention.
    7. Soil Pollution – Major Pollutants such as: Pesticides (Insecticides, Herbicides & Fungicides); their Harmful Effects & Prevention; Strategies to Control Environmental Pollution.

CHEMISTRY: Grade XI | Section C - Organic Chemistry (3)

  • 13. Purification & Characterisation of Organic Compounds

    1. Purification – Crystallization, Sublimation, Distillation, Differential Extraction & Chromatography – Principles & their Applications.
    2. Qualitative Analysis – Detection of Nitrogen, Sulphur, Phosphorus & Halogens.
    3. Quantitative Analysis (Basic Principles only) – Estimation of Carbon, Hydrogen, Nitrogen, Halogens, Sulphur, Phosphorus.
    4. Calculations of Empirical Formulae & molecular Formulae; Numerical Problems in Organic Quantitative Analysis.
  • 14. Some Basic Principles of Organic Chemistry

    1. Tetravalency of Carbon.
    2. Shapes of Simple Molecules – Hybridization (s & p); Classification of Organic Compounds based on Functional Groups: – C = C –, – C ≡ C – and those containing Halogens, Oxygen & Nitrogen.
    3. Homologous Series & Nomenclature (Trivial & IUPAC).
    4. Isomerism – Structural & Stereoisomerism.
    5. Covalent Bond Fission – Homolytic & Heterolytic: Free Radicals, Carbocations & Carbanions, Electrophiles & Nucleophiles.
    6. Electronic Displacement in a Covalent Bond – Inductive Effect, Electromeric Effect, Resonance & Hyperconjugation.
  • 15. Hydrocarbons

    1. Alkanes – Nomenclature, Isomerism, Methods of Preparation, Physical Properties, Chemical Reactions: including Free Radical Mechanism of Halogenation, Combustion, Pyrolysis & Conformations: Sawhorse & Newman Projections (of Ethane).
    2. Alkenes – Nomenclature, Isomerism, Methods of Preparation, Physical Properties, Chemical Reactions: Addition of Hydrogen, Halogen, Water, Hydrogen Halides (Markovnikov's Addition & Peroxide Effect), Ozonolysis, Oxidation, Polymerization & Mechanism of Electrophilic Addition.
    3. Alkynes – Nomenclature, Isomerism, Methods of Preparation, Physical Properties, Chemical Reactions: Acidic Character of Alkynes, Addition Reaction of Hydrogen, Halides, Halogen, Hydrogen Halides & Water; Polymerization
    4. Aromatic Hydrocarbons – Nomenclature, Benzene – Structure & Aromaticity; Methods of Preparation, Physical Properties, Mechanism of Electrophilic Substitution: Halogenation, Nitration, Sulphonation, Friedel – Craft’s Alkylation & Acylation, Directive Influence of Functional Group in Mono-Substituted Benzene.

CHEMISTRY: Grade XII
Section A - Physical Chemistry
(5)

  • 1. Solid state

    1. Solid State: Classification of Solids: Molecular, Ionic, Covalent & Metallic Solids, Amorphous & Crystalline Solids (Elementary Idea).
    2. Bragg’s Law & its Applications.
    3. Unit Cell (Primitive, bcc & fcc) & Lattices, Packing in Solids (scp, hcp & ccp), Voids, Calculations involving Unit Cell Parameters, Imperfection in Solids.
    4. Electrical, Magnetic & Dielectric Properties.
  • 2. Solutions

    1. Concentration of Solution – Molality, Molarity, Mole Fraction, Percentage (by Volume & Mass Both).
    2. Vapour Pressure of Solutions & Raoult’s Law – Ideal & Non-Ideal Solutions, Vapour Pressure – Composition, Plots for Ideal & Non-Ideal Solutions.
    3. Henry’s law.
    4. Colligative Properties of Dilute Solutions – Relative Lowering of Vapour Pressure, Depression of Freezing Point, Elevation of Boiling Point & Osmotic Pressure.
    5. Determination of Molecular Mass using Colligative Properties.
    6. Abnormal Value of Molar Mass, Van’t Hoff Factor & its Significance.
  • 3. Electrochemistry

    1. Electrolytic & Metallic Conduction, Conductance in Electrolytic Solutions.
    2. Variation of Conductivity with Concentration.
    3. Kohlrausch’s Law & its Applications.
    4. Electrolysis & Laws of Electrolysis.
    5. Electrochemical Cells – Electrolytic & Galvanic Cells and different Types of Electrodes.
    6. Electrochemical Series.
    7. Nernst Equation & its Applications.
    8. Batteries: Dry Cell & Lead Accumulator.
    9. Fuel Cells.
    10. Corrosion & its Prevention.
  • 4. Chemical Kinetics

    1. Rate of a Chemical Reaction.
    2. Rate Law & Rate Constant.
    3. Order & Molecularity of Reactions.
    4. Differential & Integral Forms of Zero and First-Order Reactions.
    5. Effect of Temperature on Rate of Reaction – Arrhenius Theory, Activation Anergy & its Calculation.
    6. Collision Theory of Bimolecular Gaseous Reactions (no Derivation).
  • 5. Surface Chemistry

    1. Adsorption - Physisorption & Chemisorption.
    2. Factors Affecting Adsorption of Gases on Solids – Freundlich & Langmuir Adsorption Isotherms.
    3. Catalysis: Homogeneous, Heterogeneous, Auto & Induced.
    4. Colloidal State - Distinction Among True Solutions, Colloids & Suspensions; Classification of Colloids – Lyophilic, Lyophobic, Multi-Molecular, Macromolecular & Associated Colloids (Micelles).
    5. Preparation & Purification of Colloids.
    6. Properties of Colloids – Tyndall Effect, Brownian Movement, Electrophoresis, Coagulation.
    7. Emulsions & their Characteristics.

CHEMISTRY: Grade XII
Section B - Inorganic Chemistry
(4)

  • 6. General Principles & Processes of Isolation of Metals

    1. Modes of Occurrence of Elements in Nature, Minerals, Ores.
    2. Metallurgy & Steps Involved in the Extraction of Metals – Concentration, Reduction (Chemical & Electrolytic Methods) and Refining with Special Reference to the Etraction of Al, Cu, Zn & Fe.
    3. Thermodynamic & Electrochemical Principles of Metallurgy.
  • 7. p– Block Elements

    1. Group – 15: Preparation, Properties & Uses of Nitrogen & Phosphorus; Allotropic Forms of Phosphorus; Preparation, Properties, Structure & Uses of Ammonia, Nitric Acid, Phosphine & Phosphorus Halides (PCl_3, PCl_5); Structures of Oxides & Oxoacids of Nitrogen and Phosphorus.
    2. Group – 16: Preparation, Properties, Structures & Uses of Dioxygen & Ozone; Allotropic Forms of Sulphur; Preparation, Properties, Structures & Uses of Sulphuric Acid (including its Industrial Preparation); Structures of Oxoacids of Sulphur.
    3. Group – 17: Preparation, Properties & Uses of Chlorine & Hydrochloric Acid; Trends in the Acidic Nature of Hydrogen Halides; Structures of Interhalogen Compounds & Oxides and Oxoacids of Halogens.
    4. Group –18: Occurrence & Uses of Noble Gases; Structures of Fluorides & Oxides of Xenon.
  • 8. d– & f– Block Elements

    1. Transition Elements: General Introduction, Electronic Configuration, Occurrence & Characteristics.
    2. General Trends in Properties of the First-Row Transition Elements – Physical Properties, Ionization Enthalpy, Oxidation States, Atomic Radii, Colour, Catalytic Behaviour, Magnetic Properties, Complex Formation, Interstitial Compounds, Alloy Formation.
    3. Preparation, Properties & Uses of K_2 〖Cr〗_2 O_7 & KMnO_4.
    4. Inner Transition Elements: Lanthanoids – Electronic Configuration, Oxidation States & Lanthanoid Contraction.
    5. Actinoids – Electronic Configuration & Oxidation States.
  • 9. Co-ordination Compounds

    1. Introduction to Co-ordination Compounds, Werner’s Theory.
    2. Complex Ion, Ligands: Denticity, Chelation, Co-Ordination Number.
    3. IUPAC Nomenclature of Mononuclear Co-Ordination Compounds.
    4. Isomerism in Co-Ordination Compounds.
    5. Bonding-Valence Bond Approach & Basic Ideas of Crystal Field Theory, Colour & Magnetic Properties.
    6. Importance of Co-Ordination Compounds (in Qualitative Analysis, Extraction of Metals & in Biological Systems).

CHEMISTRY: Grade XII
Section A - Organic Chemistry
(7)

  • 10. Organic Compounds Containing Halogens

    1. General Methods of Preparation, Properties & Reactions of Haloalkanes & Haloarenes.
    2. Nature of C-X Bond; Mechanisms of Substitution Reactions.
    3. Uses; Environmental Effects of Chloroform & Iodoform.
  • 11. Organic Compounds Containing Oxygen

    1. Alcohols: Methods of Preparation, Properties, Reactions, Identification of Primary, Secondary & Tertiary Alcohols; Mechanism of Dehydration & Uses.
    2. Phenols: Methods of Preparation, Acidic Nature, Electrophilic Substitution Reactions: Halogenation, Nitration; Reimer – Tiemann Reaction & Reaction with Zinc Dust; Uses.
    3. Ethers: Structure, Methods of Preparation, Properties, Reactions & Uses.
    4. Aldehyde and Ketones: Nature of Carbonyl Group, Methods of Preparation & Physical Properties.
    5. Important Reactions: Nucleophilic Addition Reactions (Addition of HCN, NH_3), Grignard Reagent; Oxidation; Reduction (Wolff Kishner & Clemmensen); Acidity of α – Hydrogen, Aldol Condensation, Cannizzaro Reaction, Haloform Reaction;
    6. Chemical Tests to Distinguish between Aldehydes & Ketones; Uses.
    7. Carboxylic Acids: Methods of Preparation, Properties, Reactions & Uses.
  • 12. Organic Compounds Containing Nitrogen

    1. Amines: Nomenclature, Classification, Methods of Preparation, Properties, Reactions & Identification of Primary, Secondary & Tertiary Amines; Uses.
    2. Diazonium Salts: Preparation, Chemical Reactions & Importance in Synthetic Organic Chemistry.
  • 13. Polymers

    1. General Introduction & Classification of Polymers, General Methods of Polymerization - Addition & Condensation, Copolymerization.
    2. Natural & Synthetic Rubber & Vulcanisation.
    3. Some Important Polymers with Emphasis on their Monomers & Uses – Polythene, Nylon, Polyester & Bakelite.
  • 14. Biomolecules

    1. Carbohydrates – Classification: Aldoses & Ketoses; Monosaccharides (Glucose & Fructose) & Constituent Monosaccharides of Oligosaccharides (Sucrose, Lactose & Maltose).
    2. Proteins – Elementary Idea of α-Amino Acids, Peptide Bond, Polypeptides; Structural Levels: Primary, Secondary, Tertiary & Quaternary Structure (Qualitative Idea only), Denaturation of Proteins, Enzymes.
    3. Vitamins – Classification & Functions.
    4. Nucleic Acids – Chemical Constitution of DNA & RNA; Biological Functions of Nucleic Acids.
  • 15. Chemistry in Everyday Life

    1. Chemicals in Medicines – Analgesics, Tranquilizers, Antiseptics, Disinfectants, Antimicrobials, Antifertility Drugs, Antibiotics, Antacids, Antihistamines – their Meaning & Common Examples.
    2. Chemicals in Food – Preservatives, Artificial Sweetening Agents – Common Examples.
    3. Cleansing Agents – Soaps & Detergents, Cleansing Action.
  • 16. Principles Related to Practical Chemistry

    1. Detection of Extra Elements (N, S, Halogens) in Organic Compounds; Detection of the Following Functional Groups: Hydroxyl (Alcoholic & Phenolic), Carbonyl (Aldehyde & Ketone), Carboxyl & Amino Groups in Organic Compounds.
    2. Chemistry involved in the Preparation of the Following: Inorganic Compounds: Mohr’s Salt, Potash Alum; Organic Compounds: Acetanilide, p-Nitro Acetanilide, Aniline Yellow, Iodoform.
    3. Chemistry involved in the titrimetric exercises – Acids and bases; the use of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4.
    4. Chemical Principles involved in the Qualitative Salt Analysis: Cations – Pb2+, Cu2+, Al3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+,NH4+. Anions- CO32-, S2-, SO32-, SO42-, NO2-, NO3-, Cl-, Br-, I-.(Insoluble Salts Excluded).

    5. Chemical Principles involved in the Following Experiments:
      • Enthalpy of Solution of CuSO4.
      • Enthalpy of Neutralization of Strong Acid & Strong Base.
      • Preparation of Lyophilic & Lyophobic Sols.
      • Kinetic Study of Reaction of Iodide Ion with Hydrogen Peroxide at Room Temperature.

MATHEMATICS: Grades XI & XII (16)

  • 1. Sets, Relations & Functions

    1. Sets and their Representation.
    2. Venn Diagrams
    3. Union, Intersection and Complement of Sets & their Algebraic Properties.
    4. Powerset.
    5. Relation, Types of Relations, Equivalence Relations.
    6. Functions; One-One, Into & Onto Functions, the Composition of Functions.
  • 2. Complex Numbers & Quadratic Equations

    1. Complex Numbers as Ordered Pairs of Real & Imaginary Numbers.
    2. Representation of Complex Numbers in the Form (a+ib) & their Representation in a Plane, Argand Diagram.
    3. Algebra of Complex Numbers, Modulus & Argument (or Amplitude) of a Complex Number.
    4. Square Roots & Cube Roots of a Complex Number.
    5. De-Moivre’s Theorem
    6. Triangle Inequality.
    7. Quadratic Equations in Real & Complex Number System and their Solutions.
    8. The Relation between Roots & Coefficients, Nature of Roots, the Formation of Quadratic Equations with Given Roots.
    9. Applications of Complex Numbers in Geometry.
  • 3. Matrices & Determinants

    1. Types of Matrices, Algebra of Matrices and Matrices of Order Two & Three.
    2. Properties of Determinants, Evaluation of Determinants, the Area of Triangle Using Determinant.
    3. Adjoint & Evaluation of Inverse of a Square Matrix Using Determinants & Elementary Transformations.
    4. Test of Consistency & Solution of Simultaneous Linear Equations in Two or Three Variables using Determinants & Matrices.
  • 4. Permutations & Combinations

    1. The Fundamental Principle of Counting.
    2. Permutation as an Arrangement & Combination as Selection.
    3. The Meaning of P (n,r) and C (n,r) & Simple Applications.
  • 5. Mathematical Induction

    1. The Principle of Mathematical Induction & its Simple Applications.
  • 6. Binomial Theorem & its Simple Applications

    1. Binomial Theorem for a Positive Integral Index.
    2. General Term & Middle Term.
    3. Properties of Binomial Coefficients & Simple Applications.
  • 7. Sequence & Series

    1. Arithmetic and Geometric Progressions.
    2. Insertion of Arithmetic & Geometric Mean between Two Given Numbers.
    3. The Relation between A.M. & G.M.
    4. Sum up to n Terms of Special Series: Sn, Sn2, Sn3.
    5. Arithmetico-Geometric Progression.
  • 8. Limit, Continuity & Differentiability

    1. Real-Valued Functions, Algebra of Functions, Polynomials, Rational, Trigonometric, Logarithmic & Exponential Functions, Inverse Functions.
    2. Graphs of Simple Functions.
    3. Limits, Continuity & Differentiability.
    4. Differentiation of the Sum, Difference, Product & Quotient of Two Functions.
    5. Differentiation of Trigonometric, Inverse Trigonometric, Logarithmic, Exponential, Composite & Implicit Functions.
    6. Derivatives of Order up to Two.
    7. Rolle’s & Lagrange’s Mean Value Theorems.
    8. Applications of Derivatives: Rate of Change of Quantities, Monotonic Increasing & Decreasing Functions, Maxima & Minima of Functions of One Variable, Tangents & Normals.
  • 9. Integral Calculus

    1. Integral as an Antiderivative.
    2. Fundamental Integrals involving Algebraic, Trigonometric, Exponential & Logarithmic Functions.
    3. Integration by Substitution, by Parts & by Partial Fractions.
    4. Integration using Trigonometric Identities.
    5. Integral as Limit of a Sum.
    6. Evaluation of Simple Integrals.
    7. Fundamental Theorem of Calculus.
    8. Properties of Definite Integrals, Evaluation of Definite Integrals.
    9. Determining Areas of the Regions Bounded by Simple Curves in Standard Form.
  • 10. Differential Equations

    1. Ordinary Differential Equations, their Order & Degree.
    2. Formation of Differential Equations.
    3. The Solution of Differential Equations by the Method of Separation of Variables.
    4. The Solution of Homogeneous & Linear Differential Equations of the Type:dy/dx +P(x)y=Q(x)
  • 11. Co-Ordinate Geometry

    1. Cartesian System of Rectangular Coordinates in a Plane, Distance Formula, Section Formula, Locus & its Equation, Translation of Axes, the Slope of a Line, Parallel & Perpendicular Lines, Intercepts of a Line on the Coordinate Axes, Area of Triangle.
    2. Straight Lines: Various Forms of Equations of a Line, Intersection of Lines, Angles between Two Lines, Conditions for Concurrence of Three Lines.
    3. Distance of a Point from a Line, Equations of Internal & External Bisectors of Angles between Two Lines, Coordinates of the Centroid, Orthocentre & Circumcentre of a Triangle, Equation of the Family of Lines Passing through the Point of Intersection of Two Lines.
    4. Circles: Standard Form of Equation of a Circle, General Form of the Equation of a Circle, its Radius & Centre, Equation of a Circle when the Endpoints of a Diameter are Given, Points of Intersection of a Line & a Ccircle with the Centre at the Origin & Condition for a Line to be Tangent to a Circle, Equation of the Tangent, Chord of Contact, Angle of Intersection of Two Circles.
    5. Conic sections: Sections of Cones, Equations of Conic Sections (Parabola, Ellipse & Hyperbola) in Standard Forms, Condition for y = mx + c to be a Tangent & Point(s) of Tangency.
  • 12. Three Dimensional Geometry

    1. Coordinates of a Point in Space, Distance between Two Points, Section Formula, Direction Ratios & Direction Cosines, Angle between Two Intersecting Lines.
    2. Skew Lines, the Shortest Distance between them and its Equation.
    3. Equations of a Line & a Plane in Different Forms, Intersection of a Line & a Plane, Coplanar Lines. .
  • 13. Vector Algebra

    1. Scalars & Vectors; Addition, Subtraction, Multiplication & Division of Vectors.
    2. Vector’s Components in 2D & 3D Space.
    3. Scalar Products & Vector Products, Triple Product.
  • 14. Statistics & Probability

    1. Measures of Dispersion: Calculation of Mean, Mode, Median, Variance, Standard Deviation & Mean Deviation of Ungrouped & Grouped Data.
    2. Probability: Probability of Events, Multiplication Theorems, Addition Theorems, Baye’s Theorem, Bernoulli Trials, Binomial Distribution & Probability Distribution.
  • 15. Trigonometry

    1. Identities of Trigonometry & Trigonometric Equation.
    2. Functions of Trigonometry.
    3. Properties of Inverse Trigonometric Functions.
    4. Problems on Heights & Distances.
  • 16. Mathematical Reasoning

    1. Statements & Logical Operations: Or, And, Implies, If & Only If.
    2. Understanding of Contradiction, Tautology, Contrapositive & Converse.

Physics: Chapter Weightage

Topics Questions Marks Weightage
Physics & Measurement 1 4 3.33%
Kinematics 2 8 6.67%
Laws of motion 1 4 3.33%
Circular Motion 1 4 3.33%
Work, Energy & Power 2 8 6.67%
Rotational Motion 1 4 3.33%
Centre of Mass 1 4 3.33%
Gravitation 1 4 3.33%
Elasticity 1 4 3.33%
Thermodynamics 1 4 3.33%
Kinetic Theory of Gases 1 4 3.33%
SHM 1 4 3.33%
Sound Waves 1 4 3.33%
Electrostatics 1 4 3.33%
Current Electricity 3 12 10.00%
Magnetic Effect of Current & Magnetism 2 8 6.67%
Alternating Current 2 8 6.67%
Electromagnetic Waves 1 4 3.33%
Optics 2 8 6.67%
Dual Nature of Matter & Radiation 1 4 3.33%
Atoms & nuclei 1 4 3.33%
Semiconductors 1 4 3.33%
Communication System 1 4 3.33%
Total 30 120 100%

Chemistry: Chapter Weightage

Topics Questions Marks Weightage
Transition Elements & Coordination Chemistry 3 12 10%
Periodic Table & Representative Elements 3 12 10%
Thermodynamics & Gaseous State 2 8 6.67%
Atomic Structure 2 8 6.67%
Chemical Bonding 2 8 6.67%
Chemical & Ionic Equilibrium 2 8 6.67%
Solid State & Surface Chemistry 2 8 6.67%
Nuclear Chemistry & Environment 2 8 6.67%
Mole Concept 1 4 3.33%
Redox Reaction 1 4 3.33%
Electrochemistry 1 4 3.33%
Chemical Kinetics 1 4 3.33%
Solution & Colligative Properties 1 4 3.33%
General Organic Chemistry 1 4 3.33%
Stereochemistry 1 4 3.33%
Hydrocarbon 1 4 3.33%
Alkyl Halides 1 4 3.33%
Carboxylic Acid & their Derivatives 1 4 3.33%
Carbohydrates, Amino Acid & Polymers 1 4 3.33%
Aromatic Compounds 1 4 3.33%
Total 30 120 100%

Mathematics: Chapter Weightage

Topics Questions Marks Weightage
Sets, Relations & Functions 1 4 3.33%
Complex Numbers 1 4 3.33%
Quadratic Equation 1 4 3.33%
Matrices & Determinants 2 8 6.67%
Permutations & Combinations 1 4 3.33%
Binominal Theorem 1 4 3.33%
Sequences & Series 2 8 6.67%
Limit, Continuity & Differentiability 2 8 6.67%
Maxima & Minima 1 4 3.33%
Tangent & Normal 1 4 3.33%
Indefinite & Definite Integrals 2 8 6.67%
Area Under the Curve 1 4 3.33%
Differential Equations 1 4 3.33%
Straight Line 2 8 6.67%
Parabola 1 4 3.33%
Ellipse 1 4 3.33%
Hyperbola 1 4 3.33%
3-D 2 8 6.67%
Vector 1 4 3.33%
Statistics & Probability 2 8 6.67%
Trigonometric Equation 1 4 3.33%
Height & Distance 1 4 3.33%
Mathematical Reasoning 1 4 3.33%
Total 30 120 100%