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ICSE Class 10 Mathematics Revision Notes Chapter 17 - Circles

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Last updated date: 23rd May 2024
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Revision Notes for ICSE Class 10 Maths Chapter 17 - Free PDF Download

Free PDF download of Class 10 Mathematics Chapter 17 - Circles Revision Notes & Short Key-notes prepared by our expert Math teachers as per ICSE guidelines. To register Maths Tuitions on Vedantu.com to clear your doubts.

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Competitive Exams after 12th Science

An Introduction to the Chapter

The chapter Circles summary is as follows:


There can be infinite tangents to a circle. A circle is made up of infinite points which are at an equal distance from a point. Since there are infinite points on the circumference of a circle, infinite tangents can be drawn from them.


Some Important Points:

  • A tangent to a circle intersects it in one point(s).

  • A line intersecting a circle in two points is called a secant.

  • A circle can have two parallel tangents at the most.

  • The common point of a tangent to a circle and the circle is called the point of contact

Sub-topics of Class 10 Chapter 17 Circles:

  • Introduction to Circles

  • Tangent to a circle

  • Number of Tangents from a point on a circle

  • Summary of the Whole Chapter


List of Exercise from Class 10 Maths Chapter 17 Circles

Let us look at the list of exercises that are included in the chapter:

Exercise 17.1–

4 Questions which include 1 short answer question, 1 fill in the blanks question and 2 long answer questions.


Exercise 17.2– 

13 Questions which includes 10 long answer questions, 4 descriptive type questions and 2 short answer questions.

FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 17 - Circles

1. Are ICSE Class 10 Mathematics Revision Notes Chapter 17- Circles good to score better in class 10  examinations?

Yes, by practicing ICSE Class 10 Mathematics Revision Notes Chapter 17-  Circles, students will tend to learn more and more of the subject and thus score better grades in the Class 10 ICSE board examination. This is because, when students practice the worksheets, they learn about all the concepts of the subject deeply. So they are well prepared for the examination. They don't need to be in chaos before the early days of the examination. Also, the learning power of the students is enhanced. 

2. Where can I find useful study resources for ICSE Class 10 Mathematics Revision Notes Chapter 17- Circles?

You can find everything you need on the Vedantu app or website. You can find the ICSE Class 10 Mathematics Revision Notes Chapter 17- Circles the Vedantu site through the given below mentioned link:


https://www.vedantu.com/icse/class-10-mathematics-revision-notes-chapter-17

These resources are created by professionals in the field and the content is accurate and reliable. Students can find revision notes, important questions, question papers etc on the site. These study materials are completely free and there is no cost involved. To access these useful study resources, all students have to sign in and then they will be able to download what they want in pdf format online or offline. 

3. What do you know about tangents after studying chapter 17 of ICSE Class 10 Maths?

Tangent to a circle is a straight line that touches the circle at only one point. This point where the tangent touches the circle is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency. The tangent of a circle is always perpendicular to the radius which joins the center of the circle to point P. You can find the tangent of the circle through the equation of the tangent will be of the form y = m x + c.

4. How to solve the worksheets of ICSE Class 10 Maths?

You can solve these worksheets on your own. It depends upon the difficulty of the worksheets. Generally, the worksheets are easy to solve, if the student has reviewed and understood the concepts of the subject deeply. Also, it depends upon the intelligence level of the students. Some will solve the worksheets more quickly and easily, while; on the other hand,  some can take more time to solve the same worksheets. But you need to solve the worksheets to score better in your examinations.

5. Going by the concept discussed in Chapter 17 of Class 10 ICSE Maths, what is a Secant?

The line passing through two points of a curve is called a secant line or simply secant. The secant line tends to be a tangent line as the two points are brought together (or, more precisely, as one is brought towards the other). The secant line connects two points (x,f(x)) and (a,f(a)) in the Cartesian plane on a curve described by a function y=f(x). It gives the average rate of change off from x to a


 An (x)=(f(x)-f(a))/(x-a),

(1)

which is the slope of the line connecting the points (x,f(x)) and (a,f(a)). The limiting value

 f^'(x)=lim_(a->x)(f(x)-f(a))/(x-a)


(2) as the point a approaches x gives the instantaneous slope of the tangent line to f(x) at each point x, which is a quantity known as the derivative of f(x), denoted f^'(x) or df/dx.