NDA Exam Complete Syllabus

NDA Exam Syllabus

1. Mathematics (300 Marks)

Algebra
- Concept of sets, operations on sets
- Venn diagrams
- De Morgan laws
- Cartesian product
- Relation, equivalence relation
- Real numbers, complex numbers
- Quadratic equations
- Permutation and combination
- Binomial theorem
- Logarithms
Matrices and Determinants
- Types of matrices
- Operations on matrices
- Determinant of a matrix
- Properties of determinants
- Inverse of a matrix
Trigonometry
- Trigonometric ratios
- Identities
- Heights and distances
- Properties of triangles
- Inverse trigonometric functions
Analytical Geometry
- Rectangular Cartesian coordinate system
- Distance formula
- Equation of lines
- Circles, conic sections
Differential Calculus
- Concept of real-valued functions
- Limits, continuity
- Differentiability
- Derivatives of various functions
- Applications of derivatives
Integral Calculus and Differential Equations
- Integration as inverse of differentiation
- Integration by substitution and parts
- Definite integrals
- Basic concepts of differential equations
Vector Algebra
- Vectors in 2D and 3D
- Scalar and vector products
- Applications of vectors
Statistics and Probability
- Measures of central tendency
- Dispersion
- Probability of an event
- Binomial and Poisson distributions

Physics
- Physical properties of matter
- Motion, force, and laws of motion
- Work, energy, and power
- Heat, temperature, and thermodynamics
- Sound waves and their properties
- Light and optics
- Electricity and magnetism
- Modern physics concepts
Chemistry
- Physical and chemical changes
- Elements, compounds, and mixtures
- Atomic structure
- Chemical bonding
- Acids, bases, and salts
- Oxidation and reduction
- Basic concepts of organic chemistry
General Science
- Basic knowledge of biology
- Human physiology
- Environmental science
- Recent developments in science
History, Freedom Movement, etc.
- Ancient, medieval, and modern Indian history
- Indian freedom movement
- World history (basic knowledge)
- Landmarks in Indian history
Geography
- Physical geography of India and world
- Climate and weather patterns
- Resources and their distribution
- Environmental issues
Current Events
- National and international important events
- Sports and cultural events
- Recent developments in technology
- Important awards and honors

Note: This is not part of the written exam but conducted separately for qualified candidates.