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Many questions are asked from this topic. It includes lots of diagrams, figures, and lucid language, which is not easy to understand for a student without any guidance. Students should know about them and understand the basic concept in detail before going to solve a numerical problem. These theorems are fundamental from an exam point of view.
It has been noticed that one or two questions based on these theorems are always asked in the board exam. This way, students will acquire the concept of Geometry step by step. As you all know, how vital is Class 10th Maths Chapter 10 circles for the board exam.
There is no single-board exam until a date in which a question has not been asked from the circle chapter. They include every question in NCERT solutions, which are asked in previous year's board examinations. Different easy methods have solved all problems by using easy concepts. 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 Vedantu Class 10 Maths Ch 4 Series 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. Exercise 13 A Solutions. Exercise 13 B Solutions. Exercise 13 C Solutions. This chapter is all about formulas, concepts, and definitions, so keep them handy at all times. You can read them when you're on the go. This technique is extremely beneficial when doing last-minute revision. It is helpful to experience various types of problems, but you must also ensure that you solve them for yourself.
It is easy to learn theories and concepts, but it is more difficult to learn how to apply them. So, if you want to get maximum marks in Mathematics, you must solve and question independently at least three to four times. When you go through the answers, make sure to pay close attention to the steps that helped you get the answer. Since you can't just write the answer and get maximum marks in Math, just paying attention to the figures is a waste of time. Rather than all of this, learn the steps involved.
You will certainly get some marks for each step. Understand your strengths and weaknesses, and work to improve both.
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