NDA (National Defence Academy)

Defence Exams · Full Course

12 महीनेअवधि 6Subjects 82Chapters ऑनलाइनTests & result

Your roadmap · आपका रोडमैप

  1. 1
    Admission & first meetingप्रवेश और पहली मुलाकात

    Enquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.

  2. 2
    Phase 1 — basicsपहला चरण — बुनियाद

    Concepts of every subject from the start.

    Mathematics (Entrance): Sets, Relations & Functions … Coordinate GeometryPhysics (Entrance): Units, Dimensions & Errors … Thermodynamics & Kinetic TheoryChemistry (Entrance): Some Basic Concepts of Chemistry … Chemical KineticsGeneral English: Parts of Speech … One-Word SubstitutionGeneral Knowledge & General Studies: Ancient Indian History … Indian GeographyCurrent Affairs: National Affairs & Government Schemes … Sports
  3. 3
    Phase 2 — advanced topicsदूसरा चरण — उन्नत विषय

    The remaining topics at exam level.

    Mathematics (Entrance): Limits & Continuity … StatisticsPhysics (Entrance): Oscillations & Waves … Semiconductor ElectronicsChemistry (Entrance): Periodic Table & Periodicity … Biomolecules & PolymersGeneral English: Idioms & Phrases … Reading ComprehensionGeneral Knowledge & General Studies: World Geography … Static GKCurrent Affairs: Science, Technology & Space … Reports & Indices
  4. 4
    Phase 3 — practice & previous papersतीसरा चरण — अभ्यास

    Topic tests, previous-year questions and speed practice.

  5. 5
    Phase 4 — mock testsचौथा चरण — मॉक टेस्ट

    Full-length mock tests in the real exam pattern, with analysis.

  6. 6
    NDA (National Defence Academy) examपरीक्षा

    Exam-day plan and document checklist.

  7. 7
    Online tests & resultऑनलाइन टेस्ट और रिज़ल्ट

    Take the tests online; your marks and result show in your student login and at the centre.

सिलेबस · पाठ्यक्रम

6 subjects · 82 chapters · 330 topics

Mathematics (Entrance)15 chapters · 12 Months Subject page →
01Sets, Relations & Functions 4 टॉपिक
  1. Sets and subsets
  2. Relations and their types
  3. Functions - domain and range
  4. Composition and inverse of functions
02Complex Numbers & Quadratic Equations 4 टॉपिक
  1. Algebra of complex numbers
  2. Modulus, argument and polar form
  3. Roots of quadratic equations
  4. Nature of roots and relation with coefficients
03Matrices & Determinants 4 टॉपिक
  1. Types and algebra of matrices
  2. Determinants and properties
  3. Adjoint and inverse
  4. Solution of linear equations
04Permutations & Combinations 4 टॉपिक
  1. Fundamental principle of counting
  2. Permutations with repetition
  3. Combinations
  4. Arrangements with identical objects
05Binomial Theorem 3 टॉपिक
  1. Binomial expansion
  2. General and middle terms
  3. Coefficients and constant term
06Sequences & Series 4 टॉपिक
  1. Arithmetic progression
  2. Geometric progression
  3. AM, GM and their relation
  4. Sum of special series
07Trigonometry 4 टॉपिक
  1. Trigonometric ratios and identities
  2. Trigonometric equations
  3. Inverse trigonometric functions
  4. Maximum and minimum values
08Coordinate Geometry 4 टॉपिक
  1. Straight lines
  2. Circles
  3. Parabola
  4. Ellipse and hyperbola
09Limits & Continuity 3 टॉपिक
  1. Standard limits
  2. Indeterminate forms
  3. Continuity and differentiability
10Differentiation & Applications 4 टॉपिक
  1. Rules of differentiation and chain rule
  2. Rate of change and tangents
  3. Increasing and decreasing functions
  4. Maxima and minima
11Integrals 4 टॉपिक
  1. Standard integrals
  2. Substitution and by parts
  3. Definite integrals and properties
  4. Area under curves
12Differential Equations 3 टॉपिक
  1. Order and degree
  2. Variable separable
  3. Linear differential equations
13Vectors & 3D Geometry 4 टॉपिक
  1. Vector algebra
  2. Dot and cross products
  3. Lines and planes in space
  4. Distance of a point from a plane
14Probability 4 टॉपिक
  1. Classical probability
  2. Addition and multiplication rules
  3. Conditional probability and Bayes' theorem
  4. Binomial distribution
15Statistics 3 टॉपिक
  1. Mean, median and mode
  2. Variance and standard deviation
  3. Measures of dispersion
Physics (Entrance)16 chapters · 12 Months Subject page →
01Units, Dimensions & Errors 4 टॉपिक
  1. SI units
  2. Dimensional formulae
  3. Dimensional analysis and its uses
  4. Errors in measurement
02Kinematics 4 टॉपिक
  1. Motion in a straight line
  2. Equations of motion
  3. Projectile motion
  4. Relative velocity and circular motion
03Laws of Motion 4 टॉपिक
  1. Newton's laws
  2. Friction
  3. Apparent weight in a lift
  4. Circular motion dynamics
04Work, Energy & Power 4 टॉपिक
  1. Work-energy theorem
  2. Kinetic and potential energy
  3. Power
  4. Collisions
05Rotational Motion 4 टॉपिक
  1. Centre of mass
  2. Moment of inertia
  3. Torque and angular momentum
  4. Rolling motion
06Gravitation 4 टॉपिक
  1. Newton's law of gravitation
  2. Variation of g
  3. Escape and orbital velocity
  4. Kepler's laws and satellites
07Properties of Solids & Fluids 4 टॉपिक
  1. Elasticity
  2. Pressure and Bernoulli's theorem
  3. Viscosity and terminal velocity
  4. Surface tension
08Thermodynamics & Kinetic Theory 4 टॉपिक
  1. Laws of thermodynamics
  2. Thermodynamic processes
  3. Heat engines and Carnot cycle
  4. Kinetic theory of gases
09Oscillations & Waves 4 टॉपिक
  1. Simple harmonic motion
  2. Simple pendulum and spring
  3. Wave motion and speed
  4. Organ pipes, strings and beats
10Electrostatics 4 टॉपिक
  1. Coulomb's law and electric field
  2. Gauss's law
  3. Electric potential
  4. Capacitors
11Current Electricity 4 टॉपिक
  1. Ohm's law and resistivity
  2. Kirchhoff's laws
  3. EMF and internal resistance
  4. Wheatstone bridge and meter bridge
12Magnetic Effects & Magnetism 4 टॉपिक
  1. Biot-Savart and Ampere's law
  2. Force on moving charges
  3. Motion in a magnetic field
  4. Magnetic materials
13Electromagnetic Induction & AC 4 टॉपिक
  1. Faraday's and Lenz's laws
  2. Self and mutual inductance
  3. AC circuits - reactance, impedance
  4. Resonance and transformers
14EM Waves & Optics 4 टॉपिक
  1. Electromagnetic spectrum
  2. Reflection, refraction and lenses
  3. Total internal reflection
  4. Interference and diffraction
15Modern Physics 4 टॉपिक
  1. Photoelectric effect
  2. de Broglie waves
  3. Bohr's model of the atom
  4. Radioactivity and nuclei
16Semiconductor Electronics 3 टॉपिक
  1. Intrinsic and extrinsic semiconductors
  2. PN junction diode and rectifiers
  3. Logic gates
Chemistry (Entrance)16 chapters · 12 Months Subject page →
01Some Basic Concepts of Chemistry 4 टॉपिक
  1. Mole concept and molar mass
  2. Molarity, molality and mole fraction
  3. Stoichiometry
  4. Gas volume at STP
02Atomic Structure 4 टॉपिक
  1. Bohr's model
  2. Quantum numbers
  3. Orbitals and nodes
  4. Electronic configuration and exceptions
03Chemical Bonding 4 टॉपिक
  1. Ionic and covalent bonds
  2. VSEPR theory and shapes
  3. Hybridisation
  4. Molecular orbital theory and bond order
04Chemical Thermodynamics 4 टॉपिक
  1. First law and enthalpy
  2. Hess's law
  3. Entropy and Gibbs free energy
  4. Spontaneity
05Equilibrium 4 टॉपिक
  1. Chemical equilibrium and Le Chatelier's principle
  2. Acids, bases and pH
  3. Buffer solutions
  4. Solubility product
06Redox Reactions & Electrochemistry 4 टॉपिक
  1. Oxidation number
  2. Balancing redox reactions
  3. Electrochemical cells and EMF
  4. Nernst equation and conductance
07Solutions 4 टॉपिक
  1. Concentration terms
  2. Raoult's law
  3. Colligative properties
  4. van't Hoff factor
08Chemical Kinetics 4 टॉपिक
  1. Rate of reaction and rate law
  2. Order and molecularity
  3. First order reactions and half-life
  4. Arrhenius equation
09Periodic Table & Periodicity 4 टॉपिक
  1. Modern periodic table
  2. Atomic radius trends
  3. Ionisation enthalpy and electron gain enthalpy
  4. Electronegativity
10s- and p-Block Elements 4 टॉपिक
  1. Alkali and alkaline earth metals
  2. Groups 13 to 18
  3. Noble gases
  4. Important compounds
11d- and f-Block & Coordination Compounds 4 टॉपिक
  1. Transition elements and properties
  2. Lanthanoids and actinoids
  3. Werner's theory
  4. IUPAC naming and isomerism of complexes
12General Organic Chemistry 4 टॉपिक
  1. IUPAC nomenclature
  2. Isomerism
  3. Electronic effects - inductive, resonance, hyperconjugation
  4. Reactive intermediates
13Hydrocarbons 4 टॉपिक
  1. Alkanes
  2. Alkenes and Markovnikov's rule
  3. Alkynes
  4. Aromatic hydrocarbons
14Haloalkanes, Alcohols, Phenols & Ethers 4 टॉपिक
  1. SN1 and SN2 reactions
  2. Preparation and properties of alcohols
  3. Acidity of phenols
  4. Ethers
15Aldehydes, Ketones, Acids & Amines 4 टॉपिक
  1. Carbonyl compounds and tests
  2. Carboxylic acids
  3. Amines and their basicity
  4. Named reactions
16Biomolecules & Polymers 4 टॉपिक
  1. Carbohydrates
  2. Proteins and nucleic acids
  3. Vitamins
  4. Polymers and their monomers
General English14 chapters · 6 Months Subject page →
01Parts of Speech 4 टॉपिक
  1. Noun and pronoun
  2. Adjective and adverb
  3. Verb and its forms
  4. Words used as different parts of speech
02Tenses & Subject-Verb Agreement 4 टॉपिक
  1. 12 tenses and their use
  2. Sequence of tenses
  3. Rules of subject-verb agreement
  4. Either-or, neither-nor, each, the number of
03Articles, Prepositions & Conjunctions 4 टॉपिक
  1. A, an, the - rules and exceptions
  2. समय और स्थान के प्रीपोज़िशन
  3. Fixed prepositions (good at, accused of)
  4. Correlative conjunctions (no sooner-than, hardly-when)
04Active & Passive Voice 4 टॉपिक
  1. Voice change in all tenses
  2. Interrogative sentences
  3. Imperative sentences
  4. Modals in passive voice
05Direct & Indirect Speech 4 टॉपिक
  1. Change of reporting verb
  2. Change of tense and pronoun
  3. Questions and commands
  4. Exclamations and wishes
06Synonyms & Antonyms 4 टॉपिक
  1. High frequency exam words
  2. Root words, prefixes and suffixes
  3. Context based synonyms
  4. Antonyms with prefixes
07One-Word Substitution 4 टॉपिक
  1. Persons and professions
  2. Phobias and manias
  3. Government and study of subjects
  4. Places and collections
08Idioms & Phrases 4 टॉपिक
  1. Common idioms
  2. Phrasal verbs
  3. Proverbs
  4. Usage in sentences
09Spelling Errors 4 टॉपिक
  1. Double letter words
  2. ie / ei rules
  3. Commonly misspelt words
  4. Silent letters
10Error Spotting 4 टॉपिक
  1. Noun and pronoun errors
  2. Verb and tense errors
  3. Adjective, adverb and degree errors
  4. Conjunction and preposition errors
11Sentence Improvement 4 टॉपिक
  1. Phrase replacement
  2. Conditional sentences
  3. Gerund and infinitive
  4. Redundancy and wrong usage
12Fill in the Blanks & Cloze Test 3 टॉपिक
  1. Single and double fillers
  2. Preposition and vocabulary blanks
  3. Cloze passage technique
13Para Jumbles 3 टॉपिक
  1. Finding the opening sentence
  2. Linking words and pronouns
  3. Chronological and logical order
14Reading Comprehension 5 टॉपिक
  1. Fact based questions
  2. Main idea and title
  3. Inference questions
  4. Vocabulary in context
  5. Tone of the passage
General Knowledge & General Studies11 chapters · 6 Months Subject page →
01Ancient Indian History 5 टॉपिक
  1. Indus Valley Civilisation
  2. Vedic period
  3. Buddhism and Jainism
  4. Maurya and Gupta empires
  5. Sangam age and South Indian kingdoms
02Medieval Indian History 5 टॉपिक
  1. Delhi Sultanate
  2. Vijayanagara and Bahmani kingdoms
  3. Mughal Empire
  4. Bhakti and Sufi movements
  5. Marathas
03Modern Indian History 6 टॉपिक
  1. Arrival of Europeans and British expansion
  2. Revolt of 1857
  3. Indian National Congress and early nationalism
  4. Gandhian movements
  5. Revolutionaries and Subhas Chandra Bose
  6. Independence and partition
04Indian Art & Culture 4 टॉपिक
  1. Classical and folk dances
  2. Temple architecture
  3. UNESCO World Heritage Sites in India
  4. Music, painting and festivals
05Indian Polity & Constitution 6 टॉपिक
  1. Making and sources of the Constitution
  2. Fundamental Rights, DPSP and Fundamental Duties
  3. President, Parliament and Council of Ministers
  4. Judiciary
  5. Schedules and important amendments
  6. Constitutional bodies and local government
06Indian Geography 5 टॉपिक
  1. Location and physical divisions
  2. Rivers and drainage
  3. Climate and monsoon
  4. Soils and agriculture
  5. Minerals, industries and transport
07World Geography 5 टॉपिक
  1. Solar system and the Earth
  2. Latitudes, longitudes and time
  3. Continents and oceans
  4. Important straits, canals and rivers
  5. Climate zones
08Indian Economy 5 टॉपिक
  1. Basic concepts - GDP, inflation, national income
  2. Planning and NITI Aayog
  3. Budget and deficits
  4. Taxation and GST
  5. Banking basics
09General Science 4 टॉपिक
  1. Physics in daily life
  2. Chemistry - elements, acids, bases
  3. Human body and diseases
  4. Nutrition and vitamins
10Environment & Ecology 4 टॉपिक
  1. Ecosystem and biodiversity
  2. National parks and sanctuaries
  3. Pollution and climate change
  4. International environmental agreements
11Static GK 5 टॉपिक
  1. Sports, trophies and terms
  2. Important days
  3. International organisations and headquarters
  4. Books and authors
  5. National symbols
Current Affairs10 chapters · 6 Months Subject page →
01National Affairs & Government Schemes 5 टॉपिक
  1. Flagship welfare schemes and their aims
  2. Ministries and launching years
  3. Health, housing, financial inclusion schemes
  4. Women and child development schemes
  5. Rural employment and agriculture schemes
02International Organisations & Groupings 4 टॉपिक
  1. UN and its agencies
  2. IMF, World Bank, WTO
  3. BRICS, G20, SAARC, ASEAN, SCO, QUAD
  4. Headquarters and member countries
03Economy & Banking Updates 4 टॉपिक
  1. RBI and monetary policy news
  2. Digital payments - UPI, NPCI
  3. Budget and economic survey highlights
  4. Financial regulators
04Awards & Honours 4 टॉपिक
  1. Bharat Ratna and Padma awards
  2. Gallantry awards
  3. Literature and cinema awards
  4. International prizes - Nobel, Booker, Magsaysay
05Sports 4 टॉपिक
  1. Trophies and cups
  2. Olympics, Asian and Commonwealth Games
  3. Sports terms
  4. National sports awards
06Science, Technology & Space 4 टॉपिक
  1. ISRO missions - Chandrayaan, Aditya-L1, Gaganyaan
  2. Satellites and launch vehicles
  3. Defence technology and missiles
  4. IT and digital initiatives
07Defence & Security 3 टॉपिक
  1. Joint military exercises
  2. Ships, aircraft and missiles in news
  3. Defence organisations
08Environment & Climate 4 टॉपिक
  1. Climate agreements - UNFCCC, Kyoto, Paris
  2. National Green Tribunal and green laws
  3. Protected areas in news
  4. Biodiversity and conservation projects
09Important Days 3 टॉपिक
  1. National days
  2. International days of the UN
  3. Themes of important days
10Reports & Indices 3 टॉपिक
  1. Indices and their publishing bodies
  2. India's position in global reports
  3. Government reports and surveys

About this course

आप यह कर पाएँगे

  • Complete Mathematics (Entrance) syllabus with regular tests
  • Complete Physics (Entrance) syllabus with regular tests
  • Complete Chemistry (Entrance) syllabus with regular tests
  • Complete General English syllabus with regular tests
  • Complete General Knowledge & General Studies syllabus with regular tests
  • Complete Current Affairs syllabus with regular tests

यह किसके लिए है

  • Class 11-12 students preparing for JEE Main and other engineering entrance exams
  • NDA and Agniveer Vayu aspirants (Mathematics paper / Science group)
  • UP Polytechnic (JEECUP) lateral entry and other entrance aspirants who need Class 11-12 maths

आपको क्या चाहिए

  • Class 10 mathematics; studying in or passed Class 11-12 with mathematics
  • NCERT Class 11 and 12 mathematics books
Online tests & result Practice and unit tests online; marks and result show in your student login and at the centre. Student login →

सवाल

Is NCERT enough for JEE Main maths?

NCERT is the base. JEE Main needs extra practice with tougher problems, which this course provides chapter-wise.

Is this useful for NDA mathematics?

Yes. NDA maths follows Class 11-12 topics; we include NDA-pattern questions and speed practice.

How long is the course?

About 12 months covering the full Class 11-12 syllabus with tests after every chapter and full mock tests.

Can a Class 11 student join?

Yes. The course follows the Class 11 to 12 order and is ideal for students starting Class 11.

Is the course common for JEE and NEET?

Yes, the physics syllabus is almost the same. NEET students get extra NCERT-based conceptual practice; JEE students get more numerical practice.

Is NCERT enough for physics?

NCERT builds the concepts. Entrance exams also need practice problems, which this course provides after each chapter.

How long does the course take?

About 12 months for the full Class 11-12 syllabus with chapter tests and full mocks.

I am weak in maths. Can I manage physics?

Yes. Basic maths tools (vectors, simple calculus) are taught at the start before they are needed.

Download the syllabus (PDF)

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