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NDA Syllabus 2021 for Mathematics Paper I:
ALGEBRA SYLLABUS: NDA Syllabus 2021
- Concept Of A Set
- Operations on Set
- Venn Diagrams De Morgan Laws
- Cartesian Product Relation
- Equivalence Relation
- Representation of Real Number 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 & Harmonic Progression
- Quadratic Equations with Real Coefficients
- The solution of Linear Inequations of two variables by Graph
- Permutation and combination
- Binomial theorem and its application
- Logarithms and their applications
MATRICES AND DETERMINANTS SYLLABUS: NDA Syllabus 2021
- Types of Matrices
- Operations on Matrices Determinant of a Matrix
- Basic Properties of Determinant
- Adjoint & Inverse of a Square Matrix
- Applications — Solutions of a System of Linear Equations in two or three unknowns by Cramer’s Rule and by Matrix Method.
ANALYTICS GEOMETRY OF TWO 7 THREE DIMENSIONS SYLLABUS: NDA Syllabus 2021
- आयताकार कार्टेशियन समन्वय प्रणाली
- डायटेंस फॉर्मूला
- विभिन्न रूपों में एक रेखा का समीकरण
- दो रेखाओं के बीच का कोण
- मानक और सामान्य रूप में एक वृत्त के समीकरण
- अंडाकार और हाइपरबोला
- एक शंकु की सनकी विज्ञापन अक्ष
- तीन आयामी अंतरिक्ष में बिंदु, दो बिंदुओं के बीच की दूरी
- दिशा कोसाइन और दिशा अनुपात
- विभिन्न रूपों में समतल और रेखा का समीकरण
- दो रेखाओं के बीच का कोण और दो तलों के बीच का कोण
- एक गोले का समीकरण
TRIGONOMETRY SYLLABUS: NDA Syllabus 2021
- 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 SYLLABUS: NDA Syllabus 2021
- Sum . के संजात
- उत्पाद और कार्यों का भागफल
- किसी अन्य फ़ंक्शन के संबंध में एक फ़ंक्शन का व्युत्पन्न
- एक समग्र कार्य का व्युत्पन्न
- द्वितीय क्रम संजात
- बढ़ते और घटते कार्य
- मैक्सिमा और मिनिमा की समस्याओं में डेरिवेटिव्स का अनुप्रयोग।
INTEGRAL CALCULUS SYLLABUS: NDA Syllabus 2021
- Integration as Inverse Differentiation
- Integration by parts and Substitution
- Standard Integrals Involving Expression of Algebric
- Hyperbolic and Exponential Function
- Trigonometric
- Evaluation of definite Integrals — Determination of areas of plane regions bounded by curves.
DIFFERENTIAL EQUATIONS SYLLABUS: NDA Syllabus 2021
- 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 SYLLABUS: NDA Syllabus 2021
- Classification of data
- Frequency distribution
- Cumulative Frequency Distribution — examples
- Graphical Representation — Histogram
- Pie chart
- Frequency Polygon — examples
- Measures of Central Tendency — Mean Median & Mode
- Variance & Standard Deviation Determination & Comparision
- Correlation and Regression
PROBABILITY SYLLABUS: NDA Syllabus 2021
- 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 SYLLABUS: NDA Syllabus 2021
- Vectors In Two And Three Dimensions
- Magnitude And Direction Of A Vector
- Unit And Null Vectors Addition Of Vectors
- Scalar Multiplication Of Vector
Syllabus for General Ability Paper II: NDA Syllabus 2021
पाठ्यक्रम के इस खंड को दो भागों में विभाजित किया गया है, भाग ए अंग्रेजी के पेपर के लिए है और भाग बी सामान्य ज्ञान के लिए है:
PART A — ENGLISH SECTION SYLLABUS: NDA Syllabus 2021
- Grammar and Usage
- Vocabulary
- Comprehension and Cohesion in Extended Text
- Use of Words
PART B — GENERAL KNOWLEDGE SYLLABUS: NDA Syllabus 2021
पेपर में सामान्य ज्ञान होता है और इसमें रसायन विज्ञान, भौतिकी, सामाजिक अध्ययन, सामान्य विज्ञान, भूगोल और करंट अफेयर्स जैसे विषय शामिल होते हैं।
PHYSICS: NDA Syllabus 2021
- Newton’s Laws of Motion,
- Force and Momentum,
- The motion of objects,
- Parallelogram of Forces,
- Stability and Equilibrium of bodies,
- Gravitation, elementary ideas of work,
- Velocity and Acceleration,
- Power and Energy,
- Properties of a Magnet,
- Earth as a Magnet
- Siphon, Levers,
- Balloon, Pumps,
- Hydrometer, Pressure Cooker
- Sound waves and their properties,
- Simple musical instruments,
- Natural and Artificial Magnets
- 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.
CHEMISTRY: Best NDA Coaching in Lucknow
- Preparation and Properties of Nitrogen
- Hydrogen, Oxygen & Carbon Dioxide
- Oxidation & Reduction
- The material used in the preparation of substances like Glass, Soap, Paper, Ink, Cement, Paints, Safety Matches, Gunpowder
- Carbon — different forms
- Physical & 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.
GENERAL SCIENCE: Top NDA Coaching in Lucknow
- 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.
HISTORY: Best NDA Coaching in Lucknow
- 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.
GEOGRAPHY: Best NDA Coaching in Lucknow
- Origin of Earth, Weathering — Mechanical and Chemical
- Earthquakes and volcanoes
- The 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 on 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.
