Book Solutions for RD Sharma, RS Aggarwal, Lakhmir Singh, HC Verma (Class 6-12)

Step-by-step expert solutions for RD Sharma, RS Aggarwal, Lakhmir Singh, and HC Verma—covering every chapter from Classes 6-12 Maths and Science. Master the toughest exercises, strengthen concepts, and excel in CBSE boards and entrance exams with Hodu Academy's comprehensive book-wise solutions.
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RD Sharma Solutions (Class 6–12)

RD Sharma is India’s most trusted Maths textbook for CBSE. With comprehensive theory, exhaustive solved examples, and exercises ranging from basics to Olympiad level, RD Sharma’s book is essential for board toppers and JEE/NTSE/other aspirants. Our step-by-step RD Sharma solutions, prepared by expert faculty, make even the toughest problems simple!

Show Chapters (Class-wise)
Class 12 Chapters:
  1. Relations
  2. Functions
  3. Binary Operations
  4. Inverse Trigonometric Functions
  5. Algebra of Matrices
  6. Determinants
  7. Adjoint and Inverse of a Matrix
  8. Solution of Simultaneous Linear Equations
  9. Continuity
  10. Differentiability
  11. Differentiation
  12. Higher Order Derivatives
  13. Derivative as a Rate Measurer
  14. Differentials, Errors, and Approximations
  15. Mean Value Theorems
  16. Tangents and Normals
  17. Increasing and Decreasing Functions
  18. Maxima and Minima
  19. Indefinite Integrals
Class 11 Chapters:
  1. Sets
  2. Relations
  3. Functions
  4. Measurement of Angles
  5. Trigonometric Functions
  6. Graphs of Trigonometric Functions
  7. Trigonometric Ratios of Compound Angles
  8. Transformation Formulae
  9. Trigonometric Ratios of Multiple and Submultiple Angles
  10. Sine and Cosine Formulae and Their Applications
  11. Trigonometric Equations
  12. Mathematical Induction
  13. Complex Numbers
  14. Quadratic Equations
  15. Linear Inequations
  16. Permutations
  17. Combinations
  18. Binomial Theorem
  19. Arithmetic Progressions
  20. Geometric Progressions
  21. Some Special Series
  22. Brief Review of Cartesian System of Rectangular Coordinates
  23. The Straight Lines
  24. The Circle
  25. Parabola
  26. Ellipse
  27. Hyperbola
  28. Introduction to 3D Coordinate Geometry
  29. Limits
  30. Derivatives
  31. Mathematical Reasoning
  32. Statistics
  33. Probability
Class 10 Chapters:
  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equations in Two Variables
  4. Triangles
  5. Trigonometric Ratios
  6. Trigonometric Identities
  7. Statistics
  8. Quadratic Equations
  9. Arithmetic Progressions
  10. Circles
  11. Constructions
  12. Some Applications of Trigonometry
  13. Probability
  14. Coordinate Geometry
  15. Areas Related to Circles
  16. Surface Areas and Volumes
Class 9 Chapters:
  1. Number System
  2. Exponents of Real Numbers
  3. Rationalisation
  4. Algebraic Identities
  5. Factorisation of Algebraic Expressions
  6. Factorisation of Polynomials
  7. Introduction to Euclid's Geometry
  8. Lines and Angles
  9. Triangles and its Angles
  10. Congruent Triangles
  11. Coordinate Geometry
  12. Heron's Formula
  13. Linear Equations in Two Variables
  14. Quadrilaterals
  15. Area of Parallelograms and Triangles
  16. Circles
  17. Constructions
  18. Surface Area and Volume of a Cuboid and Cube
  19. Surface Area and Volume of a Right Circular Cylinder
  20. Surface Area and Volume of a Right Circular Cone
  21. Surface Area and Volume of a Sphere
  22. Tabular Representation of Statistical Data
  23. Graphical Representation of Statistical Data
  24. Measures of Central Tendency
  25. Probability
Class 8 Chapters:
  1. Rational Numbers
  2. Powers
  3. Squares and Square Roots
  4. Cubes and Cube Roots
  5. Playing with Numbers
  6. Algebraic Expressions and Identities
  7. Factorisations
  8. Division of Algebraic Expressions
  9. Linear Equations in One Variable
  10. Direct and Inverse variations
  11. Time and Work
  12. Percentage
  13. Profits, Loss, Discount, and VAT
  14. Compound Interest
  15. Understanding Shapes I (Polygons)
  16. Understanding Shapes II (Quadrilaterals)
  17. Understanding Shapes III (Special Quadrilaterals)
  18. Practical Geometry
  19. Visualising Shapes
  20. Mensuration I (Area of a Trapezium and Polygon)
  21. Mensuration II (Volume & Surface Areas: Cuboid & Cube)
  22. Mensuration III (Surface Area & Volume: Cylinder)
  23. Data Handling I (Classification/Tabulation)
  24. Data Handling II (Histograms)
  25. Data Handling III (Pie Charts)
  26. Data Handling IV (Probability)
  27. Introduction to Graphs
Class 7 Chapters:
  1. Integers
  2. Fractions
  3. Decimals
  4. Rational Numbers
  5. Operations on Rational Numbers
  6. Exponents
  7. Algebraic Expressions
  8. Linear Equations in One Variable
  9. Ratio and Proportion
  10. Unitary Method
  11. Percentage
  12. Profit and Loss
  13. Simple Interest
  14. Lines and Angles
  15. Properties of Triangles
  16. Congruence
  17. Constructions
  18. Symmetry
  19. Visualising Solid Shapes
  20. Mensuration I
  21. Mensuration II
  22. Data Handling I
  23. Data Handling II
  24. Data Handling III
  25. Data Handling IV
Class 6 Chapters:
  1. Knowing Our Numbers
  2. Playing with Numbers
  3. Whole Numbers
  4. Operations on Whole Numbers
  5. Negative Numbers and Integers
  6. Fractions
  7. Decimals
  8. Introduction to Algebra
  9. Ratio, Proportion, and Unitary Method
  10. Basic Geometrical Concepts
  11. Angles
  12. Triangles
  13. Quadrilaterals
  14. Circles
  15. Pair of Lines and Transversal
  16. Understanding 3D Shapes
  17. Symmetry
  18. Basic Geometrical Tools
  19. Geometrical Constructions
  20. Mensuration
  21. Data Handling I
  22. Data Handling II
  23. Data Handling III
Highlights: Easy language, expert-reviewed, CBSE-aligned, with explanations for every step. Perfect for homework, board exams, and competitive prep!

RS Aggarwal Solutions (Class 6–12)

RS Aggarwal is India’s most popular CBSE Maths textbook, renowned for clarity, concept coverage, and ample practice. RS Aggarwal Solutions are a student’s best friend for boards, Olympiads, and entrance exam preparation.

Show Chapters (Class-wise)
Class 12 Chapters:
  1. Relations
  2. Functions
  3. Binary Operations
  4. Inverse Trigonometric Functions
  5. Algebra of Matrices
  6. Determinants
  7. Adjoint and Inverse of a Matrix
  8. Solution of Simultaneous Linear Equations
  9. Continuity
  10. Differentiability
  11. Differentiation
  12. Higher Order Derivatives
  13. Derivative as a Rate Measurer
  14. Differentials, Errors, and Approximations
  15. Mean Value Theorems
  16. Tangents and Normals
  17. Increasing and Decreasing Functions
  18. Maxima and Minima
  19. Indefinite Integrals
  20. Definite Integrals
  21. Areas of Bounded Regions
  22. Differential Equations
  23. Algebra of Vectors
  24. Scalar or Dot Product
  25. Vector or Cross Product
  26. Scalar Triple Product
  27. Direction Cosines and Direction Ratios
  28. Straight line in space
  29. The plane
  30. Linear programming
  31. Probability
  32. Mean and variance of a random variable
  33. Binomial Distribution
Class 11 Chapters:
  1. Sets
  2. Relations
  3. Functions
  4. Measurement of Angles
  5. Trigonometric Functions
  6. Graphs of Trigonometric Functions
  7. Trigonometric Ratios of Compound Angles
  8. Transformation Formulae
  9. Trigonometric Ratios of Multiple and Submultiple Angles
  10. Sine and Cosine Formulae and Their Applications
  11. Trigonometric Equations
  12. Mathematical Induction
  13. Complex Numbers
  14. Quadratic Equations
  15. Linear Inequations
  16. Permutations
  17. Combinations
  18. Binomial Theorem
  19. Arithmetic Progressions
  20. Geometric Progressions
  21. Some Special Series
  22. Brief Review of Cartesian System of Rectangular Coordinates
  23. The Straight Lines
  24. The Circle
  25. Parabola
  26. Ellipse
  27. Hyperbola
  28. Introduction to 3D Coordinate Geometry
  29. Limits
  30. Derivatives
  31. Mathematical Reasoning
  32. Statistics
  33. Probability
Class 10 Chapters:
  1. Real Numbers
  2. Polynomials
  3. Linear equations in two variables
  4. Triangles
  5. Trigonometric Ratios
  6. T-Ratios of Some Particular Angles
  7. Trigonometric Identities
  8. Trigonometric Ratios of Complementary Angles
  9. Mean, Median, Mode of Grouped Data
  10. Quadratic Equations
  11. Arithmetic Progressions
  12. Circles
  13. Constructions
  14. Height and Distance
  15. Probability
  16. Coordinate Geometry
  17. Perimeter and Areas of Plane Figures
  18. Areas of Circle, Sector, and Segment
  19. Volume and Surface Areas of Solids
Class 9 Chapters:
  1. Real Numbers
  2. Polynomials
  3. Introduction to Euclid's Geometry
  4. Angles, Lines and Triangles
  5. Congruence of Triangles and Inequalities
  6. Coordinate Geometry
  7. Areas
  8. Linear Equations in Two Variables
  9. Quadrilaterals and Parallelograms
  10. Area
  11. Circle
  12. Geometrical Constructions
  13. Volume and Surface Area
  14. Statistics
  15. Probability
Class 8 Chapters:
  1. Rational Numbers
  2. Exponents
  3. Squares and Square Roots
  4. Cubes and Cube Roots
  5. Playing with Numbers
  6. Operations on Algebraic Expressions
  7. Factorisation
  8. Linear Equations
  9. Percentage
  10. Profit and Loss
  11. Compound Interest
  12. Direct and Inverse Proportions
  13. Time and Work
  14. Polygons
  15. Parallelograms
  16. Construction of Quadrilaterals
  17. Area of a Trapezium and a Polygon
  18. Three-Dimensional Figures
  19. Volume and Surface Area of Solids
  20. Data Handling
  21. Constructing and Interpreting Bar Graphs
  22. Pie Charts
  23. Probability
  24. Graphs
Class 7 Chapters:
  1. Integers
  2. Fractions
  3. Decimals
  4. Rational Numbers
  5. Exponents
  6. Algebraic Expressions
  7. Linear Equations in One Variable
  8. Ratio and Proportion
  9. Unitary Method
  10. Percentage
  11. Profit and Loss
  12. Simple Interest
  13. Lines and Angles
  14. Properties of Parallel Lines
  15. Properties of Triangles
  16. Congruence
  17. Constructions
  18. Reflection and Rotational Symmetry
  19. Three-Dimensional Shapes
  20. Mensuration
  21. Collection and Organisation of Data
  22. Bar Graphs
  23. Probability
Class 6 Chapters:
  1. Number System
  2. Factors and Multiples
  3. Whole Numbers
  4. Integers
  5. Fractions
  6. Simplification
  7. Decimals
  8. Algebraic Expressions
  9. Linear Equations in one variable
  10. Ratio, Proportion and Unitary Method
  11. Line Segment, ray, and Line
  12. Parallel Lines
  13. Angles and their measurement
  14. Constructions
  15. Polygons
  16. Triangles
  17. Quadrilaterals
  18. Circles
  19. Three-Dimensional Shapes
  20. Two-Dimensional Reflection Symmetry
  21. Concept of Perimeter and Area
  22. Data Handling
  23. Pictograph
  24. Bar Graph
Highlights: Each answer is structured, accurate, and CBSE-exam ready. Written in easy language for instant understanding.

Lakhmir Singh Solutions (Science 8–10)

Lakhmir Singh’s Science series is a top pick for conceptual clarity and exam readiness, covering all Physics, Chemistry, and Biology chapters in line with the latest CBSE/NCERT syllabus. Solutions are provided for every exercise and topic in easy, stepwise language.

Show Chapters (Class-wise & Subject-wise)
Class 10 Chapters:
  • Physics:
    1. Electricity
    2. Magnetic Effects of Electric Current
    3. Sources of Energy
    4. Reflection of Light
    5. Refraction of Light
    6. The Human Eyes and The Colourful World
  • Chemistry:
    1. Chemical Reactions and Equations
    2. Acids, Bases, and Salts
    3. Metals and Non-metals
    4. Carbon and Its Compounds
    5. Periodic Classification of Elements
  • Biology:
    1. Life Processes
    2. Control and Coordination
    3. How do Organisms Reproduce?
    4. Heredity and Evolution
    5. Our Environment
    6. Management of Natural Resources
Class 9 Chapters:
  • Physics:
    1. Motion
    2. Force and Laws of Motion
    3. Gravitation
    4. Work and Energy
    5. Sound
  • Chemistry:
    1. Matter in Our Surroundings
    2. Is Matter Around Us Pure?
    3. Atoms and Molecules
    4. Structure of The Atom
  • Biology:
    1. Improvements in Food Resources
    2. The Fundamental Unit of Life – Cell
    3. Tissues
    4. Diversity in Living Organisms
    5. Why Do We Fall Ill
    6. Natural Resources
Class 8 Science Chapters:
  1. Crop Production and Management
  2. Microorganisms: Friends and Foe
  3. Synthetic Fibres and Plastics
  4. Materials: Metals and Non-Metals
  5. Coal and Petroleum
  6. Combustion and Flame
  7. Conservation of Plants and Animals
  8. Cell Structure and Functions
  9. Reproduction in Animals
  10. Reaching the Age Adolescence
  11. Force and Pressure
  12. Friction
  13. Sound
  14. Chemical Effects of Electric Current
  15. Some Natural Phenomena
  16. Light
  17. Stars and the Solar System
  18. Pollution of Air and Water
Highlights: Diagrams, formulas, and key concepts included after every section. Useful for theory, numericals, and practical applications.

HC Verma Solutions (Physics Vol. 1 & 2)

HC Verma’s Concepts of Physics is the gold standard for JEE/NEET Physics. Each chapter contains a mix of theory, worked examples, and exercises, progressing from basic to Olympiad/entrance level. Our solutions decode each problem in clear steps, helping you build concepts and solve even the trickiest questions with confidence.

Show Chapters (Vol 1 & 2)
Volume 1 (Class 11 Chapters):
  1. Introduction to Physics
  2. Physics and Mathematics
  3. Rest and Movement: Kinematics
  4. Forces
  5. Newton's Laws of Motion
  6. Friction
  7. Circular Motion
  8. Work and Energy
  9. Center of Mass, Momentum, Collision
  10. Rotational Mechanics
  11. Gravitation
  12. Simple Harmonic Motion
  13. Fluid Mechanics
  14. Some Mechanical Properties of Matter
  15. Wave Motion and Waves in a String
  16. Sound Waves
  17. Lightwaves
  18. Geometric Optics
  19. Optical Instruments
  20. Scattering and Spectra
  21. Speed ​​of Light
  22. Photometry
Volume 2 (Class 12 Chapters):
  1. Heat and Temperature
  2. Kinetic Theory of Gases
  3. Calorimetry
  4. Laws of Thermodynamics
  5. Specific Heat Capacities of Gases
  6. Heat Transfer
  7. Electric Field and Potential
  8. Gauss's Law
  9. Capacitors
  10. Electric Current in Conductors
  11. Thermal and Chemical Effects of Electric Current
  12. Magnetic Field
  13. Magnetic Field Due to Current
  14. Permanent Magnets
  15. Magnetic Properties of Matter
  16. Electromagnetic Induction
  17. Alternating Current
  18. Electromagnetic Waves
  19. Electric Current Through Gases
  20. Photoelectric Effect and Duality of Wave Particles
  21. Bohr's Model and the Physics of the Atom
  22. Radiographs
  23. Semiconductors and Semiconductor Devices
  24. The Core
  25. The Special Theory of Relativity
Highlights: Solutions for each problem, with clear stepwise logic. Great for JEE/NEET aspirants and Physics Olympiad preparation!

FAQs on Book Solutions

  • Why are these books (RD Sharma, RS Aggarwal, Lakhmir Singh, HC Verma) recommended?
    They offer in-depth coverage of all concepts, provide practice from board to JEE/NEET level, and help students master both basics and advanced questions for every exam.
  • Where can I download solutions for all chapters?
    Hodu Academy offers downloadable PDFs and detailed online solutions for every book and chapter, class 6–12. Contact us for access!
  • Are these solutions required or just helpful?
    Practicing these solutions is essential to master exam-style answers, build confidence, and clarify tricky doubts. They are a must for board success and competitive exams.
  • Who prepares these solutions?
    Senior subject experts and experienced faculty, matching latest CBSE and entrance exam patterns.
Hodu Academy Book Solutions: 100% updated for the latest CBSE/NCERT curriculum, perfect for home study, board revision, and all India competitive exam prep.
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Last modified: Monday, 7 July 2025, 7:42 PM