The NCERT Class 10 Mathematics book Ganit,” is a comprehensive resource designed to build a strong foundation in various mathematical concepts. It comprises 15 chapters, each focusing on distinct areas of mathematics, accompanied by exercises to enhance understanding and problem-solving skills. Below is an overview of each chapter:
Class 10 Mathematics book Ganit PDF Download
NCERT Class 10 Mathematics Book Ganit
Chapter 1: वास्तविक संख्याएँ (Real Numbers)
This chapter delves into the properties of real numbers, including rational and irrational numbers. It covers the Euclidean division algorithm, the Fundamental Theorem of Arithmetic, and explores the concept of irrational numbers in depth. Students learn to prove the irrationality of certain numbers and understand the decimal expansion of real numbers.
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Chapter 2: बहुपद (Polynomials)
Focusing on polynomials, this chapter discusses their degrees, coefficients, and the relationship between zeros and coefficients of quadratic polynomials. It introduces the division algorithm for polynomials and methods to find zeros of polynomials, enhancing algebraic manipulation skills.
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Chapter 3: दो चरों वाले रैखिक समीकरणों का युग्म (Pair of Linear Equations in Two Variables)
This chapter examines systems of linear equations in two variables, exploring graphical and algebraic methods of solution, such as substitution, elimination, and cross-multiplication. It also discusses the conditions for consistency and inconsistency of systems of equations.
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Chapter 4: द्विघात समीकरण (Quadratic Equations)
Students are introduced to quadratic equations, their standard forms, and methods of solving them, including factorization and the quadratic formula. The chapter also covers the nature of roots based on the discriminant and practical applications through word problems.
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Chapter 5: समान्तर श्रेणी (Arithmetic Progressions)
This chapter explores arithmetic progressions (AP), focusing on deriving formulas for the nth term and the sum of the first n terms. It emphasizes identifying patterns and solving problems related to real-life scenarios involving AP.
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Chapter 6: त्रिभुज (Triangles)
Covering the properties and criteria for similarity of triangles, this chapter discusses the Basic Proportionality Theorem (Thales’ theorem) and Pythagoras’ theorem. It includes proofs and applications, enhancing deductive reasoning skills.
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Chapter 7: निर्देशांक ज्यामिति (Coordinate Geometry)
This chapter introduces the Cartesian plane, focusing on calculating the distance between two points, finding the section formula, and determining the area of a triangle using coordinates. It lays the groundwork for analytical geometry.
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Chapter 8: त्रिकोणमिति का परिचय (Introduction to Trigonometry)
Students learn about trigonometric ratios, identities, and their applications. The chapter covers the relationships between the sides and angles of right-angled triangles, providing a basis for solving problems involving heights and distances.
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Chapter 9: त्रिकोणमिति का अनुप्रयोग (Some Applications of Trigonometry)
Building on the previous chapter, this section applies trigonometric concepts to real-world problems, such as calculating heights and distances. It emphasizes practical applications and problem-solving techniques.
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Chapter 10: वृत्त (Circles)
This chapter focuses on the properties of circles, including tangents and the number of tangents from a point to a circle. It discusses theorems related to tangents and their proofs, enhancing understanding of circular geometry.
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Chapter 11: रचनाएँ (Constructions)
Students engage in geometric constructions using a compass and straightedge. The chapter includes constructing tangents to a circle and dividing a line segment in a given ratio, developing practical geometry skills.
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Chapter 12: वृतों से संबंधित क्षेत्रफल (Areas Related to Circles)
This chapter deals with calculating the areas of circles, sectors, and segments. It applies these concepts to real-life problems, such as finding the area of shaded regions, reinforcing the practical utility of geometry.
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Chapter 13: पृष्ठीय क्षेत्रफल एवं आयतन (Surface Areas and Volumes)
Focusing on three-dimensional shapes like cuboids, cylinders, cones, spheres, and hemispheres, this chapter teaches how to calculate their surface areas and volumes. It includes problems that combine different solids, enhancing spatial visualization skills.
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Chapter 14: सांख्यिकी (Statistics)
Students learn to represent data graphically using histograms, frequency polygons, and ogives. The chapter covers measures of central tendency (mean, median, mode) and their applications in interpreting data.
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Chapter 15: प्रायिकता (Probability)
Introducing the concept of probability, this chapter discusses experimental (empirical) probability and its connection to theoretical probability. It includes problems based on real-life situations, fostering analytical thinking.
Download “Ganit: Chapter 15 – Appendix 1” in PDF
Related Links
| Topic | Resource |
| Entire Book for Download (NCERT Official Link) | Download Ganit Book |
| More Books in this Subject | Mathematics Subject Books in Class 10 |
| All books for Class 10 | All Class 10 NCERT Books |