The NCERT Class 10 Mathematics Book Riyazi is an essential resource for students preparing for their board exams. This book is structured to develop critical thinking and analytical skills, covering all major topics in mathematics with clarity and precision. Designed by NCERT, the book follows the CBSE syllabus and is equally beneficial for competitive exam preparations.
Each chapter is crafted with theory, examples, and practice questions to help students understand concepts better. Below is a detailed breakdown of each chapter from the Riyazi textbook:
Class 10 Mathematics Textbook Riyazi
Here’s a concise table for the NCERT Class 10 Mathematics Book Riyazi chapters to help students quickly understand and access resources:
| Chapter | Description | Download Link |
|---|---|---|
| Preface Section | Introduction to the textbook and its objectives. | Download PDF |
| Chapter 1 | Real Numbers: Covers properties of real numbers and the Fundamental Theorem of Arithmetic. | Download PDF |
| Chapter 2 | Polynomials: Focuses on the relationship between zeros and coefficients and polynomial division. | Download PDF |
| Chapter 3 | Pair of Linear Equations: Methods to solve linear equations graphically and algebraically. | Download PDF |
| Chapter 4 | Quadratic Equations: Understanding standard forms, solving methods, and root analysis. | Download PDF |
| Chapter 5 | Arithmetic Progressions: Derivation of the nth term and sum of n terms in sequences. | Download PDF |
| Chapter 6 | Triangles: Explores triangle similarity criteria and the Pythagorean theorem. | Download PDF |
| Chapter 7 | Coordinate Geometry: Concepts of distance, section formula, and triangle area calculation. | Download PDF |
| Chapter 8 | Introduction to Trigonometry: Covers trigonometric ratios and identities for specific angles. | Download PDF |
| Chapter 9 | Applications of Trigonometry: Practical applications like height and distance problems. | Download PDF |
| Chapter 10 | Circles: Properties and tangents of circles are covered. | Download PDF |
| Chapter 11 | Constructions: Geometric constructions such as tangents to a circle and line segment division. | Download PDF |
| Chapter 12 | Areas Related to Circles: Calculations involving sectors, segments, and plane figure combinations. | Download PDF |
| Chapter 13 | Surface Areas and Volumes: Covers surface area and volume for solids and their combinations. | Download PDF |
| Chapter 14 | Statistics: Data analysis with measures of central tendency and graphical representation. | Download PDF |
| Chapter 15 | Probability: Theoretical approach to probability and event likelihood calculations. | Download PDF |
| Chapter 16 – Appendix 1 | Supplementary mathematical exercises and concepts for further understanding. | Download PDF |
| Chapter 16 – Appendix 2 | Additional exercises and examples for practice. | Download PDF |
NCERT Class 10 Mathematics Book Riyazi
Preface Section
The Preface Section introduces the objectives and structure of the textbook. It explains how students can use the book effectively and highlights the importance of mathematics in academics and real-life applications.
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Chapter 1: Real Numbers
This chapter covers the properties of real numbers, including their representation on the number line. Key topics include Euclid’s Division Lemma, the Fundamental Theorem of Arithmetic, and the concept of irrational numbers.
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Chapter 2: Polynomials
Polynomials introduces the concept of degrees, zeros, and the relationship between the coefficients and roots of polynomials. The chapter focuses on factorization and solving quadratic polynomials.
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Chapter 3: Pair of Linear Equations in Two Variables
This chapter explains methods to solve linear equations, such as substitution, elimination, and cross-multiplication. Graphical solutions and their applications in real-life problems are also discussed.
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Chapter 4: Quadratic Equations
In this chapter, students learn about quadratic equations, their solutions using factorization, and the quadratic formula. Real-life applications of quadratic equations are explored.
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Chapter 5: Arithmetic Progressions
Arithmetic Progressions focuses on sequences, finding the nth term, and summation formulas. Applications in solving real-world problems are also included.
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Chapter 6: Triangles
This chapter explores the properties of triangles, similarity criteria, and Pythagoras’ Theorem. Students also learn about the division of line segments.
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Chapter 7: Coordinate Geometry
Coordinate geometry covers concepts like the distance formula, section formula, and the area of a triangle in a coordinate plane. Applications in plotting and solving geometrical problems are included.
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Chapter 8: Introduction to Trigonometry
This chapter introduces trigonometric ratios and their relationships. Students learn about trigonometric identities and their applications.
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Chapter 9: Some Applications of Trigonometry
Real-life applications of trigonometry, such as calculating heights and distances, are covered in this chapter. Problems involving angles of elevation and depression are included.
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Chapter 10: Circles
The Circles chapter explains the properties of tangents to a circle, including the number of tangents from a point. Proofs and constructions related to circles are discussed.
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Chapter 11: Constructions
This chapter teaches students how to construct tangents to a circle and divide line segments. It focuses on using geometrical tools accurately.
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Chapter 12: Areas Related to Circles
This chapter deals with calculating the areas and perimeters of circles and their related figures, such as sectors and segments. Practical problems are included for better understanding.
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Chapter 13: Surface Areas and Volumes
The chapter explores the surface areas and volumes of 3D shapes like spheres, cylinders, and cones. Composite shapes and their practical applications are also covered.
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Chapter 14: Statistics
Statistics introduces mean, median, mode, and their graphical representation through histograms and cumulative frequency curves.
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Chapter 15: Probability
This chapter focuses on the basic concepts of probability, including theoretical and experimental probability. Practical problems are also included.
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Chapter 16 – Appendix 1
The appendix provides additional proofs and insights into key mathematical concepts covered in earlier chapters.
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Chapter 16 – Appendix 2
This section focuses on mathematical modeling and its practical applications, encouraging students to relate mathematics to real-life scenarios.
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Related Links
| Topic | Resource |
| Entire Book for Download (NCERT Official Link) | Download Riyazi Book |
| More Books in this Subject | Mathematics Subject Books in Class 10 |
| All books for Class 10 | All Class 10 NCERT Books |