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NCERT Solutions for Class 10 Science Chapter 1 in PDF for NCERT Solutions Class 10 Maths Chapter 1 Real Numbers: Download PDF for Free and study offline. Clear doubts on class 10 Maths real numbers and excel in your exam. Register at BYJU'S for NCERT Solutions! NCERT Solutions for Class 10 Maths pdf provided here covers all the chapters and Exercises of Class 10 Maths. These solutions are prepared by the expert teachers who are having years of experience in teaching Maths for Class 10 students. Download chapter-wise NCERT solutions for class 10 maths PDFfor free to prepare for - 21 Board Exams.
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Trigonometry � the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles. It may not have direct applications in solving practical issues but used in the various field. For example, trigonometry is used in developing computer music: as you are familiar that sound travels in the form of waves and this wave pattern through a sine or cosine function for developing computer music.

Here are few applications where trigonometry and its functions are applicable. Circle round plane figure whose boundary the circumference consists of points equidistant from a fixed point. Construction in geometry it has a special meaning. Here, construction is the act of drawing geometric shapes using only a compass and straightedge. No measuring of lengths or angles is allowed.

Statistic a fact or piece of data obtained from a study of a large quantity of numerical data. Probability the quality or state of being probable; the extent to which something is likely to happen or be the case. Save my name, email, and website in this browser for the next time I comment.

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. It elaborates and explains the difference between experimental probability and theoretical probability. The chapter is full of examples to clear the concept of probability to the learners.

Students can download the PDF easily and start going through the chapters. You will find clear categorisation and step by step solutions of all the questions with a clear conclusion. This will help you to understand how you can write answers in your exams to help you score well. The exam is of marks where 80 marks is for theory whereas 20 marks is given for internal assessment. To understand the marking scheme in a better way, you should understand the exam pattern clearly.

The set of real numbers is denoted by R. Thus every real number is either a rational number or an irrational number. In either case, it has a non�terminating decimal representation. In the case of rational numbers, the decimal representation is repeating including repeating zeroes and if the decimal representation is non�repeating, it is an irrational number. From the above discussion we may conclude that: To every real number there corresponds a unique point on the number line and conversely, to every point on the number line there corresponds a real number.

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