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.

Why are Book Solutions Essential?

• Modern learning often happens online; students may not always have access to instant classroom support.
• Stepwise book solutions bridge the gap when students get stuck—especially in difficult exercises.
• Helps in self-study, board revision, Olympiad/competitive exam prep, and scoring full marks on tricky questions.
• Expert explanations teach how to present answers according to marking scheme and examiner’s expectations.
• Especially valuable for students studying from home, in remote locations, or with limited peer support.

RD Sharma Solutions RS Aggarwal Solutions Lakhmir Singh Solutions HC Verma Solutions FAQs

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

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

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

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

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.
For more expert notes, solutions, and resources, explore hoduacademy.com