NDA · Syllabus
NDA Syllabus 2026 — every subject & topic
The complete National Defence Academy & Naval Academy Examination syllabus: 3 subjects, 156 topics. Every topic links to free study notes, practice questions and topic-wise quizzes.
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🎓 This whole syllabus, split into daily doses — free. Rebuilt every morning around what you actually did — miss a day, nothing is lost.Build my plan →Mathematics
- Algebra
Sets, Operations and Venn Diagrams · Cartesian Product, Relations and Equivalence Relation · Real Numbers · Complex Numbers · Binary System of Numbers · Arithmetic, Geometric and Harmonic Progressions · Quadratic Equations with Real Coefficients · Linear Inequalities of Two Variables · Permutation and Combination · Binomial Theorem and Applications · Logarithms and Applications
- Matrices and Determinants
Types of Matrices · Operations on Matrices · Determinant of a Matrix · Adjoint and Inverse of a Square Matrix · Solution of Linear Equations
- Trigonometry
Angles and Their Measures – Degrees and Radians · Trigonometric Ratios · Trigonometric Identities and Formulae · Inverse Trigonometric Functions · Heights and Distances · Properties of Triangles
- Analytical Geometry of Two and Three Dimensions
Rectangular Cartesian Coordinate System · Distance Formula and Section Formula · Equation of a Line in Various Forms · Angle between Two Lines · Distance of a Point from a Line · Equation of a Circle (Standard and General Form) · Conic Sections – Parabola, Ellipse, Hyperbola · Point in 3-D Space and Distance · Direction Cosines and Direction Ratios · Equation of a Line in Space · Equation of a Plane · Angle between Two Lines / Planes · Equation of a Sphere
- Differential Calculus
Concept of a Real-valued Function · Composite, One-One, Onto and Inverse Functions · Limits and Continuity · Derivative of a Function · Rules of Differentiation · Applications of Derivatives
- Integral Calculus and Differential Equations
Integration as Inverse of Differentiation · Methods of Integration · Standard Integrals · Definite Integrals and Areas · Order and Degree of a Differential Equation · General and Particular Solutions of First-Order DEs · Application to Growth and Decay
- Vector Algebra
Vectors in 2D and 3D · Addition and Scalar Multiplication · Scalar (Dot) Product · Vector (Cross) Product · Applications of Vectors
- Statistics
Classification of Data · Graphical Representation · Measures of Central Tendency · Variance and Standard Deviation · Correlation and Regression
- Probability
Random Experiment, Sample Space and Events · Types of Events · Union and Intersection of Events · Definition of Probability · Elementary Theorems on Probability · Conditional Probability and Bayes' Theorem · Random Variable as a Function on a Sample Space · Binomial Distribution
General Ability Test — English
- Grammar and Usage
- Vocabulary
- Comprehension
- Cohesion in Extended Text
- Spotting Errors
- Sentence Improvement
- Fill in the Blanks
- Synonyms
- Antonyms
- Idioms and Phrases
- Cloze Test
- Sentence Arrangement / Para Jumbles
- Spelling Check
- One-Word Substitution
General Ability Test — General Knowledge
- Physics (~25%)
Properties and States of Matter · Archimedes' Principle and Pressure · Motion, Velocity and Acceleration · Newton's Laws of Motion · Stability, Equilibrium and Gravitation · Work, Power and Energy · Heat and Temperature · Sound Waves · Light – Reflection and Refraction · Human Eye · Magnetism · Electricity · Effects of Current and Electrical Power · Primary and Secondary Cells · Common Appliances and Instruments
- Chemistry (~15%)
Physical and Chemical Changes · Elements, Mixtures and Compounds · Structure of Atom and Valency · Hydrogen, Oxygen, Nitrogen and Carbon Dioxide · Oxidation and Reduction · Acids, Bases and Salts · Carbon and Its Compounds · Fertilisers – Natural and Artificial · Substances of Daily Use · Law of Chemical Combination · Properties of Air and Water
- General Science (~10%)
Difference between Living and Non-living · Basis of Life – Cells, Protoplasm and Tissues · Growth and Reproduction in Plants and Animals · Human Body and Important Organs · Common Epidemics · Food and Nutrition · Solar System · Achievements of Eminent Scientists
- History, Freedom Movement (~20%)
Forces Shaping the Modern World · Revolutions and Wars · Impact of Science and Technology on Society · Concept of One World, UN and Panchsheel · Role of India in the Present World · Broad Survey of Indian History · Basic Teachings of Mahatma Gandhi · Freedom Movement in India · Indian Constitution and Administration · Five-Year Plans of India · Panchayati Raj, Co-operatives and Community Development · Bhoodan, Sarvodaya, National Integration and Welfare State
- Geography (~20%)
The Earth – Shape, Size and Movements · Concept of Time and International Date Line · Origin of Earth and Rocks · Weathering – Mechanical and Chemical · Earthquakes and Volcanoes · Atmosphere and Climate · Condensation, Humidity and Precipitation · Ocean Currents and Tides · Types of Climates and Natural Regions · Regional Geography of India · Sea, Land and Air Routes of India · Main Items of Imports and Exports of India
- Current Events (~10%)
Important Events in India in Recent Years · Current Important World Events · Prominent Personalities
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