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Old June 4th, 2016, 10:25 AM
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Default National Defence Academy Syallbus

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  #2  
Old January 24th, 2018, 09:07 AM
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Hii sir, I Wants to get the Syllabus of the National Defence Academy and Naval Academy Examination ?
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Old January 24th, 2018, 09:09 AM
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Default Re: national defence academy syallbus

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).

Examination Pattern

Subject Duration Maximum Marks
Mathematics 2 ½ Hours 300 Marks
(Paper-1)
General Ability Test 2 ½ Hours 300 Marks
(Paper -2)
Total – 900 Marks

SSB (Services Selection Board) Interview. 900 Marks

Subject – Mathematics (Paper 1)

Concepts(Topics)
Algebra •
Concept Of A Set
Operations On Sets
Venn Diagrams. De Morgan Laws
Cartesian Product Relation
Equivalence Relation
Representation Of Real Numbers On A Line
Complex Numbers – Basic Properties
Modulus Argument
Cube Roots Of Unity
Binary System Of Numbers
Conversion of a Number in Decimal System to Binary System and Vice-Versa.
Arithmetic
Geometric And Harmonic Progressions
Quadratic Equations With Real Coefficients
Solution Of Linear Inequations Of Two Variables By Graphs
Permutation And Combination
Binomial Theorem And Its Application
Logarithms and Their Applications.

Matrices And Determinants •
Types Of Matrices
Operations On Matrices Determinant Of A Matrix
Basic Properties of Determinant.
Adjoint And Inverse Of A Square Matrix
Applications – Solution of a System of Linear Equations in Two or Three Unknowns by Cramer’s Rule and By Matrix Method.


Analytics Geometry Of Two And Three Dimensions
Rectangular Cartesian Coordinate System
Distance Formula
Equation Of A Line In Various Forms
Angle Between Two Lines
Distance Of A Point From A Line
Equation Of A Circle In Standard And In General, Form
Standard Forms Of Parabola
Ellipse And Hyperbola
Eccentricity And Axis Of A Conic
Point in a Three-Dimensional Space, Distance between Two Points.
Direction Cosines and Direction Ratios.
The equation of a Plane and a Line in Various Forms.
The angle between Two Lines and Angle between Two Planes.
The equation of a Sphere.


Trigonometry
Angles And Their Measures In Degrees And In Radians
Trigonometrical Ratios
Trigonometric Identities Sum And Difference Formulae
Multiple And Sub-Multiple Angles
Inverse Trigonometric Functions
Applications – Height And Distance
Properties of Triangles.

Differential Calculus
Concept Of A Real-Valued Function – Domain
Range And Graph Of A Function
Composite Functions
Derivative Of Function At A Point
Derivatives Of Sum
Product And Quotient Of Functions
Derivative Of A Function With Respect Of Another Function
Derivative Of A Composite Function
Second Order Derivatives
Increasing And Decreasing Functions
Application of Derivatives in Problems of Maxima and Minima.

Integral Calculus •
Integration As Inverse Differentiation
Integration By Parts And Substitution
Standard Integrals Involving Expression Of Algebraic,
Hyperbolic And Exponential Function
Trigonometric,

Evaluation of Definite Integrals –
Determination of Areas of Plane Regions Bounded By Curves – Applications.

Differential Equations
Definition Of Order And Degree Of A Differential Equation
Formation Of A Differential Equation
General And Particular Solution Of A Differential Equation
Solution Of First Order And First Degree Differential Equations Of Various Types
Application In Problems Of Growth And Decay

Statistics •
Classification Of Data
Frequency Distribution
Cumulative Frequency Distribution – Examples
Graphical Representation – Histogram

Pie Chart
Frequency Polygon – Examples
Measures Of Central Tendency – Mean Median And Mode
Variance And Standard Deviation – Determination And Comparison
Correlation And Regression

Probability
Random Experiment
Outcomes And Associated Sample Space
Events
Mutually Exclusive And Exhaustive Events
Impossible And Certain Events
Union And Intersection Of Events
Complementary
Elementary And Composite Events
Conditional Probability
Bayes’ Theorem – Simple Problems
Random Variable As Function On A Sample Space
Binomial Distribution
Examples of Random Experiments Giving Rise to Binominal Distribution.

Vector Algebra
Vectors In Two And Three Dimensions
Magnitude And Direction Of A Vector
Unit And Null Vectors Addition Of Vectors
Scalar Multiplication Of Vector

Part A –English Paper
English Section •
Grammar And Usage
Vocabulary
Comprehension And Cohesion In Extended Text
Use Of Words

Part B-GENERAL KNOWLEDGE Paper
Physics
Physical Properties And States Of Matter
Mass
Weight
Volume
Density
Specific Gravity
Principle Of Archimedes
Pressure Barometer.
Motion Of Objects
Velocity And Acceleration
Newton’s Laws Of Motion
Force And Momentum
Parallelogram Of Forces
Stability And Equilibrium Of Bodies
Gravitation
Elementary Ideas Of Work
Power and Energy.
Effects Of Heat
Measurement Of Temperature And Heat
Change Of State And Latent Heat
Modes of Transference of Heat.
Sound Waves And Their Properties
Simple Musical Instruments.
Rectilinear Propagation Of Light
Reflection and Refraction.
Spherical Mirrors and Lenses.
Human Eye.
Natural And Artificial Magnets
Properties Of A Magnet
Earth as a Magnet.
Static And Current Electricity
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.
General Principles In The Working Of -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.
Chemistry

Physical and Chemical Changes.
Elements Mixtures And Compounds Symbols Formulae
Simple Chemical Equations Law Of Chemical Combination (Excluding Problems).
Properties Of Air And Water.
Preparation And Properties Of Hydrogen, Oxygen, Nitrogen, Carbon Dioxide, Oxidation, And Reduction.
Acids Bases And Salts.
Carbon – Different Forms.
Fertilizers – Natural And Artificial
Material Used In The Preparation Of Substances Like Soap Glass Ink Paper Cement Paints Safety Matches And Gun-Powder.
Elementary Ideas About The Structure Of Atom Atomic Equivalent And Molecular Weights Valency.

General Science •
Difference Between The Living And Non-Living
Basis Of Life – Cells, Protoplasm’s And Tissues
Growth And Reproduction In Plants And Animals
Elementary Knowledge Of Human Body And Its Important Organs
Common Epidemics, Their Causes And Prevention
Food – Source Of Energy For Man. Constituents Of Food, Balanced Diet
The Solar System – Meteors And Comets, Eclipses.
Achievements Of Eminent(Important) Scientists


History Freedom Movement •
A Broad Survey Of Indian History, With Emphasis On Culture And Civilization
Freedom Movement In India
Elementary Study Of Indian Constitution And Administration
Elementary Knowledge Of Five Year Plans Of India
Panchayati Raj, Co-Operatives 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.

Geography
Earth Its Shape and Size.
Latitudes and Longitudes Concept of Time.
International Date Line.
Movements of Earth and Their Effects.
Origin of Earth.
Rocks And Their Classification
Weathering
Mechanical and Chemical Earthquakes and Volcanoes.
Ocean Currents And Tides
Atmosphere And Its Composition;
Temperature And Atmospheric Pressure Planetary Winds Cyclones And Anti-Cyclones;
Humidity
Condensation And Precipitation
Types of Climate.
Major Natural Regions of the World.
Regional Geography Of India
Climate Natural Vegetation.
Mineral And Power Resources
Location and Distribution of Agricultural and Industrial Activities.
Important Sea Ports and Main Sea Land and Air Routes of India.
Main Items of Imports and Exports of India.


Current Affairs •
Knowledge Of Important Events That Have happened In India In The Recent Years
Current Important World Events
Famous Personalities – Both Indian And International Including Those Connected With Cultural Activities And Sports.
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