RD Sharma Class 10 Solutions: Comprehensive Chapter-wise Guide
Class 10 Maths is a crucial stepping-stone for higher studies, and the RD Sharma Class 10 Mathematics book (published by Dhanpat Rai & Co.) is widely regarded as one of the best references. Its solutions provide excellent practice material and reinforce core concepts. In fact, GeeksforGeeks notes that “RD Sharma Class 10 Solutions offer excellent reference material for students, enabling them to develop a firm understanding of the concepts covered in each chapter”. Renowned educators also stress focusing on exam-relevant topics in the solutions, so students can “understand the concepts and topics that are important from the exam point of view” and clear doubts to score high marks.
In this guide, we present detailed, chapter-wise explanations of all topics in RD Sharma Class 10, covering every chapter of the syllabus. We also include the embedded YouTube playlist of Gourav Bhaiya’s solution videos, important exam tips, and a comprehensive FAQ section to help you prepare effectively. For official book details visit the publisher’s site: Dhanpat Rai Publishing. For quick revision, check out Gourav Bhaiya’s Class 10 resources – for example his Chapter-wise Formulas page and NCERT solution guides – which complement RD Sharma practice perfectly.
RD Sharma Class 10 Video Solutions Playlist
For visual learners, the complete playlist of RD Sharma Class 10 solutions by Gourav Bhaiya (Unacademy) is embedded below. These videos explain step-by-step solutions to each exercise. Watching them can help you grasp solution strategies and tricks for each chapter.
Chapter 1: Real Numbers
- Euclid’s Division Algorithm: Key tool to find HCF. Used to express one integer as a = bq + r (remainder r < b).
- Fundamental Theorem of Arithmetic: Every composite number has a unique prime factorization.
- Rational and Irrational Numbers: Proofs like √2 is irrational are included.
- HCF and LCM Problems: Exercises include finding HCF/LCM using Euclid’s Lemma and prime factorization.
Chapter 2: Polynomials
- Zeros and Coefficients: Sum and product of roots: -b/a and c/a.
- Division Algorithm: Long division of polynomials and remainder theorem.
- Factorization: Factoring quadratics and other polynomials.
Chapter 3: Pair of Linear Equations in Two Variables
- Solution Methods: Graphical, substitution, elimination, and cross-multiplication.
- Consistency: One solution, no solution, or infinitely many based on line graphs.
- Word Problems: Age, number, and mixture-based questions.
Chapter 4: Triangles
- Similarity and Congruence: AA, SSS, SAS criteria.
- Basic Proportionality Theorem: Also known as Thales' theorem.
- Pythagorean Theorem: Based proofs and applications.
Chapter 5: Trigonometric Ratios
- Basic Ratios: sin, cos, tan and their reciprocal identities.
- Special Angles: Values at 0°, 30°, 45°, 60°, and 90°.
- Complementary Angles: sin(90°-θ) = cos(θ), etc.
Chapter 6: Trigonometric Identities
- Core Identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, etc.
- Proving Identities: Simplifying LHS and RHS using algebra.
Chapter 7: Statistics
- Mean: Using step deviation and direct method.
- Median: Cumulative frequency and median formula.
- Mode: Modal class and interpolation formula.
Chapter 8: Quadratic Equations
- Solving: Factorization, completing the square, and quadratic formula.
- Discriminant: Nature of roots based on b² - 4ac.
Chapter 9: Arithmetic Progressions
- nth Term: an = a + (n-1)d
- Sum Formula: Sn = n/2 [2a + (n-1)d]
Chapter 10: Circles
- Tangents: Tangent is perpendicular to radius.
- Equal Tangents: From external point, tangents to a circle are equal.
Chapter 11: Constructions
- Division of a Line Segment: Dividing a line segment in a given ratio using compass and straightedge.
- Construction of Tangents: Drawing tangents to a circle from a point outside it.
- Angle Bisectors: Constructing angles of specific measures and bisecting them.
Chapter 12: Some Applications of Trigonometry
- Heights and Distances: Solving problems involving angles of elevation and depression.
- Real-life Applications: Applying trigonometric concepts to determine heights and distances in practical scenarios.
Chapter 13: Probability
- Basic Concepts: Understanding experimental and theoretical probability.
- Simple Events: Calculating probabilities of single events using the formula P(E) = Number of favorable outcomes / Total number of outcomes.
Chapter 14: Coordinate Geometry
- Distance Formula: Calculating the distance between two points in the coordinate plane.
- Section Formula: Finding coordinates of a point dividing a line segment in a given ratio.
- Area of a Triangle: Using coordinate geometry to compute the area of a triangle formed by three points.
Chapter 15: Areas Related to Circles
- Sector and Segment: Calculating areas of sectors and segments of a circle.
- Combined Figures: Solving problems involving combinations of circles and other geometrical shapes.
Chapter 16: Surface Areas and Volumes
- Surface Area: Computing surface areas of 3D shapes like cubes, cylinders, cones, and spheres.
- Volume: Determining volumes of various solids and solving related real-life problems.
- Q1: What is RD Sharma Class 10 Solutions?
- RD Sharma Class 10 Solutions provide step-by-step explanations for all questions in the RD Sharma textbook, aligned with the CBSE curriculum.
- Q2: Are RD Sharma solutions helpful for board exam preparation?
- Yes, RD Sharma solutions cover all key concepts and problem types asked in the board exams.
- Q3: Is RD Sharma better than NCERT for Class 10 Maths?
- NCERT is essential, but RD Sharma is better for in-depth practice and conceptual clarity.
- Q4: Where can I download RD Sharma Class 10 Solutions?
- You can download them from reliable educational websites like GouravBhaiya.com and others that provide chapter-wise solutions.
- Q5: Are RD Sharma Solutions free?
- Yes, many educational platforms offer RD Sharma Class 10 Solutions for free in PDF or web formats.
- Q6: Is RD Sharma good for competitive exams?
- Yes, RD Sharma helps build a strong mathematical foundation, useful for exams like JEE, Olympiads, and NTSE.
- Q7: Are there video explanations for RD Sharma Class 10 chapters?
- Yes, platforms like YouTube offer detailed chapter-wise video explanations for RD Sharma Class 10 Maths.
- Q8: Can I rely solely on RD Sharma for board exams?
- No, combine it with NCERT for best results, as NCERT is the primary textbook recommended by CBSE.
- Q9: Are RD Sharma Class 10 Solutions available in Hindi?
- Some platforms provide bilingual or Hindi-translated versions for Hindi medium students.
- Q10: How do I practice effectively using RD Sharma?
- Follow a timetable, understand theory first, then solve examples and exercises regularly.
- Q11: How many chapters are there in RD Sharma Class 10?
- There are 16 chapters in the RD Sharma Class 10 Maths book, covering all essential topics.
- Q12: Are the solutions updated according to the latest syllabus?
- Yes, most platforms provide solutions updated as per the latest CBSE syllabus and exam pattern.
- Q13: Do these solutions include multiple methods?
- Yes, many problems are solved using different methods such as algebraic, graphical, or formula-based approaches.
- Q14: Are Class 10 RD Sharma Solutions enough for scoring 90+?
- Yes, if practiced thoroughly along with NCERT and mock tests, they are sufficient to score 90+.
- Q15: How can I use RD Sharma for daily practice?
- Solve at least one exercise or 5–10 problems each day from different chapters for steady progress.
- Q16: Can these solutions be used for tuition or coaching?
- Yes, they are excellent for both self-study and for teaching in tuition/coaching classes.
- Q17: Are diagrams and graphs included in the solutions?
- Yes, many platforms include visual aids like graphs, figures, and tables for better understanding.
- Q18: Where can I find the latest edition of RD Sharma Class 10?
- You can check the official RD Sharma website or leading bookstores and online platforms like Amazon.
- Q19: Do RD Sharma Solutions help with time management in exams?
- Yes, regular practice from RD Sharma improves speed and accuracy, aiding in better time management during exams.
- Q20: Are there answer keys at the end of each chapter?
- Yes, the RD Sharma textbook often includes answer keys or summaries at the end of each chapter.