Detailed Syllabus Of NDA
NDA (National Defence Academy) is the Joint Services Academy of Indian Armed Forces. UPSC conducts a national level exam called NDA Exam, held 2 times in a year. This exam is conducted for those candidates who want to join Indian Defence Forces. Gurukul Vidya Institute helps for those candidates who want to join NDA , Indian Army by providing best NDA Coaching in Chandigarh .We have complete information about NDA Syllabus 2017 that will be elaborated further.
NDA Exam has of two main sections: Mathematics & General Ability. Detailed syllabus of each of these sections is specified below for clear and deep understanding of candidates.
NDA Syllabus 2022:
 Mathematics
In NDA Exam Mathematics carries 300 marks and allotted two and a half hours to attempt this exam. Students are advised to practice carefully each and every sector of this exam.
Sections 
Concepts 
Algebra 
 Arithmetic, Geometric and Harmonic progressions
 Complex Numbers – basic properties, modules, arguments, cube roots of unity
 Binomial Theorem and its applications
 Representation of real numbers on a line
 Quadratic equations with real coefficients
 Permutation and Combination
 Conversion of numbers in decimal system and viceversa
 Solution of Linear equations in two variables by graphs
 Binary system of numbers

Matrices & Determinants 
 Types of matrices
 Operations on matrices
 Determinant of a matrix
 Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.
 Basic properties of determinants
 Adjoint and inverse of a square matrix

Trigonometry 
 Trigonometrical ratios, Inverse trigonometric functions, properties of triangles
 Derivative of function at a point, Derivatives of sum and Product and quotient of functions
 Trigonometric identities
 Sum and difference formulae
 Angles and their measures in degrees and in radians
 Applications – Height and distance, Multiple and Sub multiple angles.

Differential Calculus 
 Concept of a real valued function – domain,range and graph of a function
 Composite functions
 Derivative of a function with respect of another function
 Derivative of a composite function
 Application of derivatives in problems of maxima and minima.
 Second order derivatives
 Increasing and decreasing functions

Integral Calculus & Differential Equations 
 Integration by substitution and by parts, trigonometric, exponential and hyperbolic functions
 Definition of order and degree of a differential equation and formation of a differential equation by examples
 Solution of first order and first degree differential equations of various types.
 General and particular solution of a differential equation
 Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications ,Integration as inverse of differentiation, standard integrals involving algebraic expressions,
 Application in problems of growth and decay.

Analytical Geometry of 2D & 3D 
 Rectangular Cartesian Coordinate system
 Distance formula
 Equation of a circle in standard and in general form
 Equation of a line in various forms
 Standard forms of Ellipse ,hyperbola and parabola
 Angle between two lines
 Distance of a point from a line
 Eccentricity and axis of a conic

Vector Algebra 
 Vectors in two and three dimensions
 Scalar multiplication of vector
 Unit and null vectors
 Addition of vectors
 Magnitude and direction of a vector
 Scalar product or dot product of twovectors
 Applicationswork done by a force and moment of a force, and in geometrical problems
 Vector product and cross product of two vectors.

Statistics 
 Frequency distribution
 Measures of Central tendency – mean, median and mode
 Graphical representation – Histogram, Pie Chart, Frequency Polygon – examples, Classification of data, cumulative frequency distribution – examples, Correlation and regression ,Variance and standard deviation – determination and comparison.

Probability 
 Random experiment
 Events, Mutually exclusive and exhaustive events, Impossible and certain events
 Union & Intersection of events
 Outcomes and associated sample space
 Complementary, Elementary and Composite events
 Conditional probability
 Bayes’ theorem – simple problems, Random variable as function on a sample space
 Binomial distribution, random experiments giving rise to Binomial distribution.

Confused? Know everything about NDA Exam Pattern.
NDA Syllabus 2022: General Ability
General Ability section covers wide syllabus of English and General Knowledge. Total time given is two and a half hours and carries 300 marks.
Part A: English
English syllabus of NDA Exam covers topics such as vocabulary, grammar & usage and cohesion in extended text to test candidate’s proficiency in English. To know more about the format of this particular section, refer to NDA Exam papers.
Part B: General Knowledge
General Knowledge covers sections like Physics, Chemistry, Social Studies, Geography and Current Events.
Subjects 
Syllabus Covered 
Chemistry 
 Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder
 Law of Chemical Combination (excluding problems).
 Elements, Symbols, Formulas Mixtures and Compounds, and simple Chemical Equations
 Preparation and Properties of Hydrogen, Oxygen, Nitrogen and CarbonDioxide, Oxidation and Reduction, Carbon – different forms
 Properties of Air and Water
 Acids, bases and salts
 Physical and Chemical changes.
 Fertilizers – Natural and Artificial
 Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

Physics 
 Physical Properties and States of Matter, Volume, Density, Mass, Weight and Specific Gravity, Pressure Barometer, Principle of Archimedes.
 Newton’s Laws, Motion of objects, Velocity and Acceleration, Force and Momentum, Power and Energy Stability ,Parallelogram of Forces, elementary ideas of work, and Equilibrium of bodies, Gravitation.
 Measurement of temperature and heat, Effects of Heat, Change of State and Latent Heat, Modes of transference of Heat. Simple musical instruments , Sound waves and their properties,.
 Reflection and refraction. Spherical mirrors rectilinear propagation of Light and Lenses. Human Eye.
 Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.
 Ohm’s Law, conductors and Nonconductors, Simple Electrical Circuits, Static and Current Electricity, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays.
 Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses

General Science 
 Basis of Life – Cells, Protoplasm and Tissues
 Elementary knowledge of human Body and it’s important organs
 Food – Source of Energy for man, Constituents of food, Balanced Diet
 Achievements of Eminent Scientists
 Difference between the living and nonliving
 Growth and Reproduction in Plants and Animals
 Common Epidemics, their causes and prevention
 The Solar System – Meteors and Comets, Eclipses

Geography 
 Origin of Earth, Rocks and their classification
 Weathering – Mechanical and Chemical, Earthquakes and volcanoes, Atmosphere and its composition
 Temperature and Atmospheric Pressure, Planetary Winds, cyclones and Anticyclones
 Humidity; Condensation and Precipitation
 Types of Climate.
 Major Natural regions of the World, Important Seaports and main sea, land and air routes of India. Main items of Imports and Exports of India
 The Earth, its shape and size. Latitudes and Longitudes, Concept of time, International Date Line, Movements of Earth and their effects, Ocean Currents and Tides,
 Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and industrial activities.

History 
 A broad survey of Indian History, with emphasis on Culture and Civilisation
 Freedom Movement in India
 Elementary study of Indian Constitution and Administration
 Elementary knowledge of Five Year Plans of India
 Panchayati Raj, Cooperatives and Community Development
 Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi
 Forces shaping the modern world; Renaissance, Exploration and Discovery; War of American Independence. French Revolution, Industrial Revolution and Russian Revolution.
 Impact of Science and Technology on Society.
 Concept of one World, United Nations, Panchsheel, Democracy.
 Socialism and Communism.
 Role of India in the present world.

Current Events 
Current important world events, Knowledge of Important events that have happened in India in the recent years, prominent personalities – both Indian and International including those connected with cultural activities and sports. 
You must learn the exact weightage of each of these sections by looking into previous NDA Exam papers to understand on how to prepare effectively. Keep up with tips to prepare NDA Entrance Exam.
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