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Chapter 15 - Probability. If you practice it regularly, then you will better understand all the concepts of the chapter. Still, if you find yourself in any problem, our expert teachers will always help you. Along with this, you can take help from our online videos, lectures, topic lessons, other learning materials, etc. A circle is a chapter in which students learned about the existence of tangents to a circle and their properties.
In this chapter, all concepts are explained in detail, such as Tangent, Number of a tangent from a point on a circle, Tangents to a circle, and others. No doubt, Circle is a very important topic in board exams as well as competitions. Those students who have a goal to crack IIT, JEE, or any medical exam after their 12th, then they should not ignore this chapter at any condition. 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.
The next four Exercises, Ex 3. The methods explained here are algebraic method, cross-multiplication method, elimination method and substitution method. Exercise 3. It contains questions from all the Exercises. This chapter explains what a quadratic equation is and the methods of solving quadratic equations. 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 Ch 5 Maths Class 10 Ncert Solutions Ex 5.3 Free 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. Theorem: Tangent at any point on a circle is perpendicular to the radius through the point of contact.
CB is the tangent to the given circle touching at A and OA is the radius. The length of the segment of a tangent from an external 10th Class Ncert Maths 9th Chapter Solutions Gmbh point to the point of contact with the circle is called the Ncert Solutions For Class 10 Maths Ch 12 Ex 12.2 Youtube length of the tangent. The lengths of tangents drawn from an external point to a circle are equal. Formulae Handbook for Class 10 Maths and Science. Solution: Class 10 Maths Circles Mind Map Introduction A circle is a set of all points in a plane at a fixed distance from a fixed point in a plane.
Line and a Circle In Fig. Tangent A tangent to a circle is a straight line which touches the circle at only one point. Number of Tangents from a Point to Circle i No tangent can be drawn from the point lying inside the circle, as shown in fig.
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