1. Mathematics:
- Algebra:
- Quadratic Equations
- Polynomials
- Linear Equations and Inequalities
- Arithmetic Progression and Geometric Progression
- Binomial Theorem
- Permutations and Combinations
- Probability
- Sets and Relations
- Complex Numbers
- Matrices and Determinants
- Trigonometry:
- Trigonometric Ratios and Identities
- Heights and Distances
- Properties of Triangles
- Inverse Trigonometric Functions
- Solution of Trigonometric Equations
- Applications of Trigonometry
- Sine and Cosine Rule
- Geometry:
- Lines and Angles
- Circles and their Properties
- Area and Volume of Geometrical Shapes
- Coordinate Geometry
- Locus and Straight Lines
- Conic Sections: Parabola, Ellipse, Hyperbola
- Three-Dimensional Geometry
- Tangents and Normal
- Calculus:
- Limits and Continuity
- Differentiation
- Integration
- Application of Derivatives
- Differential Equations
- Application of Integration
- Statistics and Probability:
- Mean, Median, Mode
- Standard Deviation and Variance
- Probability Theory
- Permutation and Combination
- Binomial Distribution
- Measures of Dispersion
- Mensuration:
- Surface Areas and Volumes of Solids
- Area and Perimeter of Plane Figures
- Coordinate Geometry and its Applications
- Parallelograms and Trapeziums
- Length, Area, and Volume Formulas
2. General Knowledge:
- Geography:
- Indian Geography
- World Geography
- Physical Features of India
- Climate and Vegetation
- Indian Rivers and Lakes
- Population and Resources
- Natural Resources and Conservation
- History:
- Ancient Indian History
- Medieval Indian History
- Modern Indian History
- Indian National Movement
- Post-Independence India
- World History: Renaissance and Revolutions
- Important Leaders and Movements
- Economics:
- Indian Economy: Agriculture, Industry, Services
- Economic Reforms in India
- National Income and GDP
- Inflation and Deflation
- Monetary and Fiscal Policies
- International Trade and Organizations
- Economic Planning and Five-Year Plans
- Polity:
- Indian Constitution and Its Features
- Fundamental Rights and Duties
- Indian Parliament System
- Union Executive and Judiciary
- Federalism in India
- Amendments in the Constitution
- Local Government Systems
- Elections and Voting Systems
- Science and Technology:
- Physics: Mechanics, Optics, Electricity
- Chemistry: Organic, Inorganic, and Physical Chemistry
- Biology: Human Physiology, Plants and Animals
- Space Science and Technology
- Nuclear Science
- Communication Technologies
- Environmental Science and Ecology
- Computer Science and IT
- Robotics and Artificial Intelligence
- Current Affairs:
- National and International News
- Political Events and Elections
- Sports Events and Achievements
- Scientific Discoveries and Innovations
- Environmental Issues and Sustainability
- Awards and Honors
3. English:
- Grammar:
- Parts of Speech
- Sentence Structure and Formation
- Active and Passive Voice
- Direct and Indirect Speech
- Tenses and Their Usage
- Punctuation and Capitalization
- Error Detection and Correction
- Prepositions and Conjunctions
- Vocabulary:
- Synonyms and Antonyms
- Idioms and Phrases
- One Word Substitution
- Homophones and Homonyms
- Phrasal Verbs
- Word Usage and Meaning
- Foreign Words and Phrases
- Comprehension:
- Reading Comprehension Passages
- Understanding Main Idea and Details
- Inferences and Conclusions
- Passage Analysis and Interpretation
- Sentence Completion and Cloze Test
- Writing Skills:
- Essay Writing
- Precis Writing
- Letter Writing
- Report Writing
- Application Writing
4. General Science:
- Physics:
- Laws of Motion and Gravitation
- Work, Energy, and Power
- Optics: Reflection and Refraction
- Thermodynamics
- Magnetism and Electricity
- Kinetic Theory of Gases
- Fluid Mechanics
- Atomic Structure and Modern Physics
- Sound and Light Waves
- Nuclear Physics
- Chemistry:
- Atomic and Molecular Structure
- Chemical Reactions and Stoichiometry
- Chemical Bonding and Properties
- Acids, Bases, and Salts
- Periodic Table and Elements
- Organic Chemistry
- Solutions and Colligative Properties
- Environmental Chemistry
- Electrochemistry and Redox Reactions
- Chemical Thermodynamics
- Biology:
- Cell Structure and Function
- Plant and Animal Physiology
- Human Reproductive System
- Human Circulatory and Respiratory Systems
- Ecology and Environment
- Genetics and Evolution
- Microorganisms and Diseases
- Biotechnology and Genetic Engineering
