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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.

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