NDA Syllabus 2024 for Mathematics
|
Algebra:
- Sets and operations on sets
- De Morgan laws
- Cartesian product
- Quadratic equations
- Permutations and combinations
- Binomial theorem
- Logarithms
Matrices and Determinants:
- Types of matrices
- Operations on matrices
- Determinants
- Adjoint and inverse of matrices
- Cramer’s rule
Trigonometry:
- Trigonometric ratios
- Identities
- Sum and difference formulas
- Inverse trigonometric functions
- Applications in height and distance
- Properties of triangles
Analytical Geometry:
- Cartesian coordinate system
- Equations of lines and circles
- Standard forms of parabola, ellipse, and hyperbola
- Direction cosines and ratios
- Distance between points
Differential Calculus:
- Real-valued functions
- Limits and continuity
- Derivatives
- Second-order derivatives
- Applications in maxima and minima
Integral Calculus and Differential Equations:
- Integration and definite integrals
- Areas of plane regions
- Differential equations
- Order, degree, solutions
Vector Algebra:
- Vectors in two and three-dimensions
- Magnitude and direction
- Addition and scalar multiplication
- Scalar and vector products
Statistics and Probability:
- Classification of data
- Frequency distribution
- Measures of central tendency
- Variance and standard deviation
- Correlation and regression
- Random experiment and sample space
- Events and probability definitions
- Conditional probability and Bayes' theorem
- Random variables and binomial distribution
|
NDA Syllabus 2024 for General Ability Test
|
English:
- Spotting Errors
- Comprehension
- Selecting Words
- Synonyms
- Antonyms
- Sentence Improvements
- Ordering of Words in a Sentence, etc.
Physics:
- Physical Properties and States of Matter
- Motion, Velocity, Acceleration
- Newton’s Laws of Motion
- Heat and Thermodynamics
- Sound Waves and Properties
- Light, Reflection, Refraction
- Electricity and Magnetism
- Simple Machines and General Principles
Chemistry:
- Physical and Chemical Changes
- Elements, Mixtures, Compounds
- Acids, Bases, Salts
- Properties of Air and Water
- Atomic Structure, Chemical Equations
- Common Substances and Their Uses
General Science:
- Living and Nonliving
- Basis of Life – Cells, Protoplasm, Tissues
- Human Body and Organs
- Food, Balanced Diet
- Solar System, Achievements of Eminent Scientists
- History, Freedom Movement, etc.:
- Indian History and Culture
- Freedom Movement in India
- Indian Constitution and Administration
- Five-Year Plans, Panchayati Raj
- World History, Revolutions
- India's Role in the Present World
Geography:
- Earth's Shape and Size
- Latitudes, Longitudes, Time
- Rocks, Weathering, Earthquakes, Volcanoes
- Atmosphere, Climate, Winds, Cyclones
- Oceans, Tides, Major Natural Regions
- Regional Geography of India
Current Events:
- Knowledge of Recent Events in India
- Current World Events
- Prominent Personalities in India and Internationally
|