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It also explains the factorization method of solving quadratic equations and the square method. The chapter gives the details of relationships between discriminant and nature of roots. Also, the problems of real life have been solved as examples in this chapter.
Exercise 4. This chapter introduces a new topic to the students - Arithmetic Progression, commonly called as AP. Students will learn what is AP, derivation of nth term, finding the sum of first n terms of the AP and solving the real life problems using AP in this chapter. The first Exercise of the chapter teaches how to represent a problem or situation in the form of AP, how to find the first term and difference of the AP, and to find whether the given series is Ap or not.
The next Exercise, Ex 5. The third Exercise describes how to find the sum of first n terms of AP and contains questions related to the topic. The last and fourth Exercise have questions related to the topics taught in the chapter. Exercise 5. The chapter 6 of class 10 gives details about the triangles.
The chapter gives details about the figures with the same shape but different sizes. It explains the similarity of the triangles, theorems associated with the similarity of triangles and the concept of congruent triangles.
Further, theorems related to areas of triangles, the Pythagoras theorem and the converse of pythagoras theorem is explained. Exercise 6. Class 10 Maths Chapter 7 explains coordinate geometry, the maths of locating a given point with the help of an ordered pair of numbers. The coordinate or cartesian geometry helps to find the distance between two points whose coordinates are given. The concept of finding the area of a triangle formed by three given points. Also, the ways of finding the coordinates of the point which divides a line segment joining two given points in a given ratio is explained in the chapter.
Exercise 7. Trigonometry is the study of the ratio of right triangles with respect to the acute angles, which are known as trigonometric ratios of the angles. Students will also learn to calculate trigonometric ratios for the given angles and also a few trigonometric identities. Exercise 8. Chapter 9 is the continuation of chapter 8 where the students will learn about the application of trigonometry which they learnt in the previous chapter.
This chapter helps to understand how trigonometry is applied to our everyday life to find out the height and distance of various objects. They will also learn how trigonometry is applied and used in navigation, construction and determining the position of any piece of land based on their latitude and longitudes.
Exercise 9. In this chapter, students will be introduced to the concept of tangents and number of tangents from a point on a circle. Exercise Chapter 11 is one of the interesting chapters. This chapter is all about constructing various geometric figures. The students will learn to divide a line segment, and how to draw tangents to a circle.
The methods of construction are well explained in the chapter to clear the concepts. As the name suggests, the chapter is about the perimeter and area of a circle. The concepts of finding the area of a sector and segment of a circle is clarified here. This chapter further explains how to find the area of the figures that contains a circle or part of a circle. In the five Exercises of this chapter, finding the surface area of any object which is made up of two or more different solid shapes.
The solid shapes include cuboid, cone, sphere, hemisphere and cylinder. Then, there are questions on finding the volume of the objects that are again made up of two different solid shapes.
Also, there are questions which ask about the conversion from one shape to another. This chapter further explains how to find the volume, curved surface area and total surface area of a frustum of a cone.
This is another interesting chapter where the students learn about the numerical representation of data, grouped or ungrouped. They further learn about finding the mean, median and mode of the given data. In the next Exercise, they will learn about the cumulative frequency distribution and drawing cumulative frequency curves.
The Questions are based on properties of triangles and 9 important theorems which are important in scoring good marks in CBSE Class 10 Exams. Coordinate Geometry Class 10 has total of four exercises consists of 33 Problems. The Questions related to finding the distance between two points using their coordinates, Area of Triangle, Line divided in Ratio Section Formula are important models in class 10 boards.
Introduction to Trigonometry Class 10 has total of four exercises consists of 27 Problems. The questions based on trigonometric ratios of specific angles, trigonometric identities and trigonometric ratios of complementary angles are the main topics you will learn in this chapter. Some Applications of Trigonometry Class 10 has one exercise consists of 16 Problems. In this chapter, you will be studying about real life applications of trigonometry and questions are based on the practical applications of trigonometry.
Circle Class 10 has total of two exercises consists of 17 Problems. Understand concepts such as tangent, secant, number tangents from a point to a circle and more.
Constructions Class 10 has total of four exercises consists of 14 Problems. The Questions are based on drawing tangents and draw similar triangles are important topics.
Areas Related to Circles Class 10 has total of three exercises consists of 35 Problems. Surface Areas and Volumes Class 10 has total of five exercises consists of 36 Problems. Ok Cancel. Ok Choose Chapter. Ok Choose Topic. Yes No. Choose Subjects. Choose Chapters. Chapter 3 - Pairs of Linear Equations in Two Variables Class 10 Maths Chapter 3 is the study of algebraic and graphical methods for solving linear equations.
Chapter 4 - Quadratic Equations Chapter 4 is about converting word problems to quadratic equations. Chapter 5 - Arithmetic Progressions Chapter 5 has questions on arithmetic progressions. Chapter 6 - Triangles Chapter 6 includes solutions for the important topic of triangles. Chapter 7 - Coordinate Geometry Class 10 Maths Chapter 7 improves your knowledge about concepts such as slopes, origins, axes, coordinates etc.
Chapter 10 - Circles Understand concepts such as tangent, secant and number tangents from a point to a circle and more with a proper solution. Chapter 11 - Constructions Class 10 Maths Chapter solutions will help you to attempt questions that involve drawing tangents to a circle.
Chapter 12 - Areas Related to Circles There are three questions related to the area of circles in this chapter. Chapter 14 - Statistics Study with ease the concept of grouped and ungrouped data in Statistics. How can I assess my progress? Have an account? Sign In. Verify mobile number. Set Password. Sign In Reset Password. Sign In Kindly Sign up for a personalized experience. New to TopperLearning?
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