# Top NDA Coaching in India | Best NDA Coaching in Lucknow India ### NDA 2021 Syllabus, Mathematics & General Ability Test (GAT) Syllabus| Best NDA Coaching in Lucknow Uttar Pradesh India

NDA 2021 Syllabus comprises Mathematics & General Ability sections. National Defence Academy (NDA) is the Joint Services Academy of the Indian Armed Forces. The UPSC (Union Public Service Commission) conducts a national-level exam called as NDA Exam. This exam is held for the candidates who want to join Indian Defence Forces (Army, Navy & Air Force). Top NDA Coaching in India Every year many aspirants come forward to take this exam. NDA Examination will be organized two times a year. Here, we have updated the complete information about NDA Syllabus 2021. Get the latest news & updates about NDA 2021 via SMS and e-mail, by entering your details below Top NDA Coaching in India

## NDA Syllabus 2021

Before starting NDA preparation, it is very important to introduce yourself to the overall syllabus from where the questions will be raised.

The NDA Exam pattern comprises Mathematics subject and General Ability. Below we have mentioned the detailed UPSC NDA Syllabus 2021.

## Mathematics Syllabus

The Mathematics paper covers the following chapters and topics:

Trigonometry: Trigonometrical ratios, properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions, Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Sub-multiple angles.

Algebra: Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.

Differential Calculus: Composite functions, one-to-one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real-valued function – domain, range, and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, a derivative of a function with respect of another function, a derivative of a composite function and Second order derivatives.

Vector Algebra: Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit, and null vectors, addition of vectors, Vector product and cross product of two vectors.

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

Matrices and Determinants: Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of determinant.

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

Point in a three-dimensional space, the distance between two points, the Equation of a plane and a line in various forms, the Equation of a sphere, Direction Cosines and direction ratios, the angle between two lines, and the angle between two planes.

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

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Probability: Outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution.

## General Ability Syllabus

The general ability section comprises two parts which are mentioned below:

### Part – A

English: The English syllabus covers the topics like vocabulary, Grammar and usage, comprehension, and cohesion in extended text to test the candidate’s proficiency in English.

### Part – B

General Knowledge: The question paper comprises general knowledge and covers the subjects that include Physics, Chemistry, Social Studies, General Science, Geography, and Current Events.

#### Section A – Physics

The motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum.

Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, conductors and Non-conductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays.

#### Section B – Chemistry

Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon-Di-oxide, Oxidation and Reduction, Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder, Carbon – different forms, Physical and Chemical changes. Symbols, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases and salts, Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency.

#### Section C – General Science

Basis of Life – Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet, Achievements of Eminent Scientists, Difference between the living and non-living, Elementary knowledge of the human body and its important organs, Food – Source of Energy for man, Growth and Reproduction in Plants and Animals, Common Epidemics, their causes and prevention, The Solar System – Meteors and Comets, Eclipses.

#### Section D – History

Freedom Movement in India, Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on Culture and Civilisation, Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Panchayati Raj, 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, Co-operatives and Community Development, Role of India in the present world.

#### Section E – Geography

Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes, and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure, Rocks and their classification, Planetary Winds, cyclones and Anti-cyclones, Humidity, Condensation and Precipitation,  Major Natural regions of the World, Important Sea ports and main sea, land, and air routes of India. Main items of Imports and Exports of India, Types of Climate, The Earth, its shape and size, Lattitudes 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.

Section F – 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.

It is not compulsory that the topics mentioned above will surely come in the examination. The question paper does not remain consistent, it changes every year. It may happen that the question paper will consist of the topic not discussed here.

In case of any queries regarding the NDA 2021 Syllabus, you may ask us by leaving your queries below.