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Class 10 Maths NCERT Solutions in Hindi

Class 10 Maths NCERT Solution in Hindi is designed to help students gain mastery in the Class 10 Maths subject. These solutions completely cover all chapters and topics included in the NCERT Class 10 Maths textbook.

Class-10-Maths-NCERT-solution-in-HIndi

Each solution includes detailed explanations, step-by-step solutions, and illustrative examples in simple language, making it easier for students to understand complex mathematical concepts. By using these Class 10 Maths NCERT solutions in Hindi medium, students can not only strengthen their understanding of key mathematical concepts but also perform better in exams.

This solution is valuable, especially for those students preparing for Class 10 board exams, as it enables them to solve questions with confidence and accuracy. Additionally, these solutions are extremely useful for students who want to deepen their mathematical understanding and build a strong foundation for higher mathematical studies in the future. These solutions are an valuable resource for Class 10 students, helping them achieve excellence in mathematics and attain their academic goals.

Overview of Class 10 Maths NCERT Solutions in Hindi

This Class 10 Maths NCERT Solutions in Hindi has total of 15 chapters and it covers all the detailed syllabus of Class 10 Mathematics for 2024-25 session that includes mathematical concepts such as arithmetic, algebra, geometry, trigonometry, number systems, statistics, probability, and much more. The solution is available in both English and Hindi and  The students can download NCERT Solutions Class 10 Maths in Hindi to ultimately boost their preparation in the best way.

This NCERT solution for class 10 Maths in Hindi Medium is created by experts at Geeks for Geeks to help those students of Class 10 who are from UP board or who do not have English as their primary language.

Chapter Wise Class 10 Maths NCERT Solution in Hindi – PDF Download

Class 10 Maths NCERT Solution in Hindi medium provides a chapter-wise solutions to all the problems as per the NCERT textbooks. These solutions are written experts at Geeks for Geeks in a clear and concise style, and they also include helpful hints and tips. Below is the chapter wise Class 10 Maths NCERT Solution in Hindi.

CBSE Class 10 Maths Board Exam Marks Weightage 2024

This table describes the unit-wise marks weightage for class 10 Maths board exam.

Unit Unit Name

Chapters

Number
1 Number Systems

Real Numbers

06
2 Algebra

Polynomial

Pair of Linear Equations

Quadratic Equations

Arithmetic Progression

20
3 Coordinate Geometry

Coordinate Geometry

06
4 Geometry

Triangles

Circles

15
5 Trigonometry

Introduction to Trigonometry

Some Applications of Trigonometry

12
6 Mensuration

Areas related to Circle

Surface area and Volumes

10
7 Statistics and Probability

Statistics

Probability

11
Total

80
Internal Assessment

20
Total 100

The students can refer to the Class 10 NCERT Solutions as their additional references and study materials. Solving NCERT textbook Questions will surely help students in the preparation for their CBSE Class 10th examination.

Class 10 Maths NCERT Solution in Hindi: Chapter 1 – Real Numbers

In Class 10 Maths NCERT Solution in Hindi Chapter 1, students will learn about real numbers and irrational numbers. In Class 10th Maths, this chapter starts with the Euclid’s Division Lemma, which states that “Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r<b”.

The Euclid’s Division algorithm is based on this lemma and is used to calculate the HCF of two positive integers. Then, the Fundamental Theorem of Arithmetic is defined, which is used to find the LCM and HCF of two positive integers.

After that, the concept of a rational number, an irrational number and the decimal expansion of rational numbers are explained with the help of the theorem in NCERT Class 10 Chapter 1 Real Numbers.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 1 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 1- Real Numbers Exercise 1.1
Class 10 Maths NCERT Solution in Hindi Chapter 1- Real Numbers Exercise 1.2

Resources for Class 10 Maths Chapter 1 Real Numbers

Class 10 Maths NCERT Solution in Hindi: Chapter 2 – Polynomials

Solutions for Class 10 Maths NCERT Solution in Hindi is Chapter 2, Polynomials , presents a complete study of algebraic expressions with a specific focus on polynomials. The NCERT Solutions offered in this chapter elucidate advanced terminologies like degree, coefficient, and zeroes associated with polynomials. With four exercises to reinforce learning, the chapter caters to students at different proficiency levels.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 2 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 2- Polynomial Exercise 2.1
Class 10 Maths NCERT Solution in Hindi Chapter 2- Polynomial Exercise 2.2

Resources for Class 10 Maths Chapter 2 Polynomials

Class 10 Maths NCERT Solution in Hindi: Chapter 3 – Pair of Linear Equations in Two Variables

In Class 10 Maths NCERT Solution in Hindi Chapter 3, Pair of Linear Equations in Two Variables , students are introduced to the concept of solving linear equations with two variables both graphically and algebraically. In Class 10th Mathematics, the NCERT Chapter 3 Pair of Linear Equations in Two Variables comprises seven exercises that cover various methods of solving these equations.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 3 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 3- Pair of Linear Equations in Two Variables Exercise 3.1
Class 10 Maths NCERT Solution in Hindi Chapter 3- Pair of Linear Equations in Two Variables Exercise 3.2
Class 10 Maths NCERT Solution in Hindi Chapter 3- Pair of Linear Equations in Two Variables Exercise 3.3

Resources for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

Class 10 Maths NCERT Solution in Hindi: Chapter 4 – Quadratic Equations

In Solutions for Class 10 Maths NCERT in Hindi Chapter 4, students will explore the standard form of writing a Quadratic Equation . The chapter proceeds to elucidate two essential methods of solving quadratic equations: the factorization method and the completing the square method.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 4 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 4- Quadratic Equations Exercise 4.1
Class 10 Maths NCERT Solution in Hindi Chapter 4- Quadratic Equations Exercise 4.2

Class 10 Maths NCERT Solution in Hindi Chapter 4- Quadratic Equations Exercise 4.3

Resources for Class 10 Maths Chapter 4 Quadratic Equations

Class 10 Maths NCERT Solution in Hindi: Chapter 5 – Arithmetic Progressions

In this Solutions for Class 10 NCERT Maths chapter 5, students are introduced to the concept of Arithmetic Progression (AP). In Class 10 Maths, NCERT Chapter 5 Arithmetic Progressions consists of four exercises, each covering to different aspects of AP. In Exercise 5.1 questions are related to representing situations as AP, finding the first term and difference of an AP, and determining whether a series is an AP or not.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 5 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 5- Arithmetic Progressions Exercise 5.1
Class 10 Maths NCERT Solution in Hindi Chapter 5- Arithmetic Progressions Exercise 5.2

Class 10 Maths NCERT Solution in Hindi Chapter 5- Arithmetic Progressions Exercise 5.3

Class 10 Maths NCERT Solution in Hindi Chapter 5- Arithmetic Progressions Exercise 5.4

Resources for Class 10 Maths Chapter 5 Arithmetic Progression (AP)

Class 10 Maths NCERT Solution in Hindi: Chapter 6 – Triangles

In Class 10th Maths NCERT Solution in Hindi Chapter 6, Triangles , students will explore comprehensive NCERT Solutions that deal with the complexities of triangles, focusing on concepts of similarity and congruence.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 6 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 6- Triangles Exercise 6.1
Class 10 Maths NCERT Solution in Hindi Chapter 6- Triangles Exercise 6.2

Class 10 Maths NCERT Solution in Hindi Chapter 6- Triangles Exercise 6.3

Resources for Class 10 Maths Chapter 6 Triangles

Class 10 Maths NCERT Solution in Hindi: Chapter 7 – Coordinate Geometry

In the solutions for class 10 NCERT Maths chapter 7 on Coordinate Geometry, students will acquire essential skills in finding the distance between two points with known coordinates and calculate the area of the triangle created by three given points.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 7 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 7- Polynomial Exercise 7.1
Class 10 Maths NCERT Solution in Hindi Chapter 7- Polynomial Exercise 7.2

Resources for Class 10 Maths Chapter 7 Coordinate Geometry

Class 10 Maths NCERT Solution in Hindi: Chapter 8 – Introduction to Trigonometry

In Class 10 Maths NCERT Solution in Hindi chapter 8, Introduction to Trigonometry , students will learn about the fundamentals of Trigonometry, exploring the ratios of right angles with the acute angles of a right-angled triangle. The NCERT Class 10 Chapter 8 the concept of Trigonometry is introduced to students , where they will study about the trigonometric ratios.

Also, the trigonometric ratios for angles between 0° and 90° are defined, which provides a strong foundation in trigonometric concepts. In Class 10 Maths, this chapter also explores the calculation of trigonometric ratios for specific angles and establishes important identities involving these ratios, referred to as trigonometric identities.

By mastering this chapter, students will gain valuable skills in trigonometry, using which they can solve a variety of mathematical problems related angles and triangles.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 8 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 8- Introduction to Trigonometry Exercise 8.1
Class 10 Maths NCERT Solution in Hindi Chapter 8- Introduction to Trigonometry Exercise 8.2

Class 10 Maths NCERT Solution in Hindi Chapter 8- Introduction to Trigonometry Exercise 8.3

Resources for Class 10 Maths Chapter 8 Introduction to Trigonometry

Class 10 Maths NCERT Solution in Hindi: Chapter 9 – Some Applications of Trigonometry

This Class 10th Maths NCERT Solution in Hindi chapter 9 serves as a continuation of the previous one, exploring the practical applications of trigonometry . Students will explore the diverse real-world uses of trigonometry, ranging from geography and guidance to map construction and determining positions based on longitudes and latitudes.

In Class 10th Maths, the NCERT Class 10 Chapter 9 Some Applications of Trigonometry focuses on how trigonometry enables the calculation of heights and distances of objects without the need for direct measurement.

Students will learn about key terminologies like “line of sight,” “angle of elevation,” and “angle of depression,” which play important roles in trigonometric applications. Through this exploration, students will gain a deeper understanding of the application of trigonometry in solving real-life problems and making accurate measurements in various fields.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 9 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 9- Polynomial Exercise 9.1

Resources for Class 10 Maths Chapter 9 Some Application of Trigonometry

Class 10 Maths NCERT Solution in Hindi: Chapter 10 – Circles

In previous classes, students have learned the concept of a circle and its related terms, such as chords, segments, and arcs. However, in this Class 10 Maths NCERT Solution in Hindi chapter 10, the focus shifts to exploring various scenarios that arise when a circle and a line intersect on a plane.

In class 10th Maths NCERT Chapter-10 Circles will explore the concept of tangents to a circle and the determination of the number of tangents from a point on a circle. By studying this chapter, they will gain a complete understanding of the interactions between lines and circles, enabling them to identify and work with tangents in different geometric situations.

This chapter will provide the students with valuable insights of the geometric properties of circles and lines, enhancing their mathematical knowledge and problem-solving skills in the realm of plane geometry.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 10 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 10- Polynomial Exercise 10.1

Class 10 Maths NCERT Solution in Hindi Chapter 10- Polynomial Exercise 10.2

Resources for Class 10 Maths Chapter 10 Circles

The solutions for Class 10 Maths NCERT in Hindi chapter 11 commences with an introduction to the fundamental concepts of the perimeter and area of a circle. Furthermore, students of Class 10 Maths will explore the methods to determine the area of a sector and segment within a circular region.

Additionally, the chapter will provide clear understanding on calculating the areas of various combinations of plane figures that involve circles or their components.

By understanding these concepts given in NCERT Class 10 Chapter 11 Areas Related to Circles, students will gain a complete understanding of the geometric properties of circles and their importance in calculating areas of different circular regions and their combinations. This knowledge will help them to solve complex problems related to circles and other plane figures.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 11 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 11- Areas Related to Circles Exercise 11.1

Resources for Class 10 Maths Chapter 11 Areas Related to Circles

Class 10 Maths NCERT Solution in Hindi: Chapter 12 – Surface Areas and Volumes

In this Class 10 Maths NCERT Solution in Hindi chapter 10 consists of five exercises that covers a diverse range of problems related to solid objects. In Exercise 12.1, students will encounter questions in which they will have to calculate the surface area of composite objects formed by combining any two basic solids, such as cuboid, cone, cylinder , sphere, and hemisphere.

By solving these exercises, students of Class 10th will gain a proper understanding of solid objects and their various properties, developing the necessary skills to solve complex problems involving composite shapes and transformations.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 12 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 12- Surface Areas And Volumes Exercise 12.1

Class 10 Maths NCERT Solution in Hindi Chapter 12- Surface Areas And Volumes Exercise 12.2

Resources for Class 10 Maths Chapter 12 Surface Areas and Volumes

Class 10 Maths NCERT Solution in Hindi: Chapter 13 – Statistics

In this Class 10 Maths NCERT Solution in Hindi chapter 13, students will delve into the conversion of ungrouped data into grouped data, enabling them to represent numerical information more effectively. They will also learn to calculate the Mean, Mode, and Median of the data, providing valuable insights into the central tendencies of the dataset.

Furthermore, students of Class 10th will learn the concept of cumulative frequency and cumulative frequency distribution , understanding how to construct cumulative frequency curves. Through this study of NCERT Class 10 Chapter 13 Statistics, students will enhance their statistical analysis skills and develop a complete understanding of handling and interpreting data in a more organized manner.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 13 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 13- Statistics Exercise 13.1
Class 10 Maths NCERT Solution in Hindi Chapter 13- Statistics Exercise 13.2

Class 10 Maths NCERT Solution in Hindi Chapter 13- Statistics Exercise 13.3

Resources for Class 10 Maths Chapter 13 Statistics

Class 10 Maths NCERT Solution in Hindi: Chapter 14 – Probability

In the final chapter of Class 10 Maths NCERT Solution in Hindi chapter 14 Probability is the focal point of study. It starts with the introduction of the theoretical aspects of probability, providing students with a foundational understanding of the subject.

Also, the NCERT Class 10 Chapter 14 Probability emphasizes on the distinction between experimental probability and theoretical probability, offering various illustrative examples to deepen the understanding of the concepts effectively. For Class 10th Maths, Students are encouraged to work through these examples in CBSE Maths before proceeding to the exercise problems.

This approach is to provide a solid grasp of the theoretical concepts and practical applications of probability, preparing them to tackle the exercises with confidence and accuracy. By engaging with this chapter, students will develop a comprehensive understanding of probability and its significance in analyzing real-world situations.

Class 10 Maths NCERT Solutions in Hindi PDF Chapter 14 Exercises
Class 10 Maths NCERT Solution in Hindi Chapter 14- Probability Exercise 14.1

Resources for Class 10 Maths Chapter 14 Probability

Class 10 Maths NCERT Solutions in English

Conclusion

These newly revised and updated NCERT textbook solutions for Class 10 Maths in Hindi are suitable for students of both CBSE and UP Board who study in Hindi Medium Therefore, Class 10 Maths Solutions give you a clear idea of the question patterns in your upcoming board exams, making them easier to solve. By consistent practice with these free Class 10th Maths Solutions, you can achieve a good grade in your 10th board exams.

Class 10 Maths NCERT Solution in Hindi – FAQs

What are the important formulas for Class 10 Maths ?

Here is the list of some important formulas covered in NCERT solutions from Algebra, trigonometry, and circles, for class 10 maths are given below:

Formulas of Arithmetic Progressions are-

  • nth term = a + (n-1) d
  • Sum up to nth term = n/2 [2a + (n – 1) d]

Important Algebraic Formulas are-

  • (a + b) 2 = a 2 + b 2 + 2ab
  • (a + b) (a-b) = a 2 – b 2
  • (a – b) 2 = a 2 + b 2 – 2ab

Formulas for Circles are-

  • Circumference = 2πr
  • Area = πr 2

Important Trigonometric Formulas are-

  • sin 2 θ + cos 2 θ = 1
  • cosec 2 θ = 1 + cot 2 θ
  • sec 2 θ = 1 + tan 2 θ

How many chapters are in Class 10 mathematics?

Class 10 mathematics consist of total 15 chapters.

Is Class 10 mathematics difficult ?

The difficulty level of mathematics in Class 10 may vary for each student. With regular practice and understanding of concepts, it is manageable.

How many exercises are there in Class 10 mathematics?

In Class 10 mathematics the number of exercises per chapter ranges between 1 – 5 , but the number of exercises varies from chapter to chapter.

What is the syllabus for Class 10 mathematics?

Class 10 mathematics syllabus includes chapters on Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, and Probability.

Is NCERT book enough for Class 10 boards Maths 2024?

NCERT Maths textbooks are a good starting point for students of Class 10. However, you should also practice with other books and resources, if you want to score high marks in the board exams.




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