NDA Syllabus 2026 — every subject & topic

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

Types of Matrices · Operations on Matrices · Determinant of a Matrix · Adjoint and Inverse of a Square Matrix · Solution of Linear Equations

Angles and Their Measures – Degrees and Radians · Trigonometric Ratios · Trigonometric Identities and Formulae · Inverse Trigonometric Functions · Heights and Distances · Properties of Triangles

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

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

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

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

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

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

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

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