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ICSE Class 10 Mathematics Revision Notes Chapter 18 - Tangents and Intersecting Chords

Last updated date: 18th Sep 2024
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Revision Notes for ICSE Class 10 Maths Chapter 18 - Free PDF Download

Free PDF download of Class 10 Mathematics Chapter 18 - Tangents and Intersecting Chords 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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Introduction To The Chapter

Mathematics is, at times, thought to be challenging by students but it is also a fact that it is one of the crucial and most scoring subjects in ICSE Class 10.

From the name of the chapter itself, it suggests that this chapter is about tangents and intersecting chords. This chapter covers important theorems related to tangents and intersecting chords are discussed under this chapter. Some students may face difficulties in understanding the concepts of this chapter, but they don't need to worry anymore as there are worksheets and revision notes for this chapter available on the Vedantu site. You can access them here.

Exercises of Class 10 Maths Chapter 18: Tangents and Intersecting Chords are discussed in the worksheets and revision notes of the chapter. The answers have been solved and specially curated by our experts for the benefit of all students of class 10 ICSE Mathematics.

FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 18 - Tangents and Intersecting Chords

1. Are ICSE Class 10 Mathematics Revision Notes Chapter 18- Tangents And Intersecting Chords good to score better in class 10  examinations?

Yes, by practicing ICSE Class 10 Mathematics Revision Notes Chapter 18- Tangents and Intersecting Chords, 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 18- Tangents And Intersecting Chords?

You can find everything you need on the Vedantu app or website. You can find the ICSE Class 10 Mathematics Revision Notes Chapter 18- Tangents and Intersecting Chords the Vedantu site through the given below-mentioned link:

https://www.vedantu.com/icse/class-10-mathematics-revision-notes-chapter-18

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. After studying chapter 18 of ICSE Class 10 Maths, what do you know about tangents?

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. Solve the exercise question with the concept discussed in Class 10 ICSE Maths Chapter 18,

If,

AP + BQ + CR = BP + CQ + AR.

Also, show that AP + BQ + CR = ½ x perimeter of triangle ABC.

As from point B, BQ and BP are the tangents to the circle

We have, BQ = BP ………..(1)

Similarly, we also get

AP = AR ………….. (2)

And, CR = CQ …… (3)

Adding (1), (2) and (3) we get,

AP + BQ + CR = BP + CQ + AR ……… (4)

Now, adding AP + BQ + CR to both sides in (4), we get

2(AP + BQ + CR) = AP + PQ + CQ + QB + AR + CR

2(AP + BQ + CR) = AB + BC + CA

Therefore, we get

AP + BQ + CR = ½ x (AB + BC + CA)

I.e.

AP + BQ + CR = ½ x perimeter of triangle ABC

5. Solve the exercise question with the concept discussed in Class 10 ICSE Maths Chapter 18:

Given in the question:

PQ is the tangent to the circle at A, DB is diameter and O is the centre of the circle. If ∠ADB = 30o and ∠CBD = 60o;  you have to calculate:

i) ∠QAB

iii) ∠CDB

(i) Given, PAQ is a tangent and AB is the chord

∠QAB = ∠ADB = 30o (Angles in the alternate segment)

(ii) OA = OD (radii of the same circle)

So, ∠OAD = ∠ODA = 30o

But, as OA ⊥ PQ

(iii) As BD is the diameter, we have

∠BCD = 90o (Angle in a semicircle)

Now in ∆BCD,

∠CDB + ∠CBD + ∠BCD = 180o

∠CDB + 60o + 90o = 180o

Thus, ∠CDB = 180o – 150o = 30o