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Toggle## Class 10 maths 10.2 NCERT solutions

# NCERT Solutions For Class 10 Maths Chapter 10 Circles Ex-10.2

##### Download the free NCERT Maths Chapter 10 Solutions for Class 10 here Circles in Maths Class 10 NCERT Solutions are a great resource for homework assistance. For class 10 maths 10.2 NCERT solutions Expert Bhautikstudy.com Teachers developed the NCERT Solutions. Complete solutions to all the problems in NCERT Textbook’s Chapter 10 Math Class 10 Circles Exercise 10.2.

Class 10 Maths 10.2 NCERT Solutions Question 1.

**In Q.1 to 3, choose the correct option and give a justification.**

**1. From point Q, the length of the tangent to a circle is 24 cm, and the distance of Q from the centre is 25 cm. The radius of the circle is**

**(A) 7 cm**

**(B) 12 cm**

**(C) 15 cm**

**(D) 24.5 cm**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 2.

**2. In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to**

**(A) 60°**

**(B) 70° **

**(C) 80°**

**(D) 90°**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 3.

**3. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80°, then ∠ POA is equal to**

**(A) 50° **

**(B) 60° **

**(C) 70°**

**(D) 80°**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 4.

**4. Prove that the tangents drawn at the ends of a diameter of a circle are parallel.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 5.

**5. Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 6.

**6. The length of a tangent from point A at a distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 7.

**7. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 8.

**8. A quadrilateral ABCD is drawn to circumscribe a circle (see Fig. 10.12). Prove that AB + CD = AD + BC.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 9.

**9. In Fig. 10.13, XY and X′Y′ are two parallel tangents to a circle with centre O and another tangent AB with the point of contact C intersecting XY at A and X′Y′ at B. Prove that ∠ AOB = 90°.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 10.

**10. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 11.

**11. Prove that the parallelogram circumscribing a circle is a rhombus.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 12.

**12. A triangle ABC is drawn to circumscribe a circle of radius 4cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm, respectively (see Fig.10.14). Find the sides AB and AC.**

**Solution:**

Class 10 Maths 10.2 NCERT Solutions Question 13.

**13. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. **

**Solution:**

## Maths in Class 10: Circles

###### In Class 10 Maths 10.2 NCERT Solutions Students will talk about patterns in terms that come after those that come after by adding a certain number to the terms that came before in this chapter. Additionally, they see how to calculate the sum of n successive terms and the nth term. When students tackle real-world situations, they will successfully understand Circles.

#### As a result, these NCERT Solutions for Class 10 Maths will aid students in comprehending various question formats and their responses, in addition to providing important shortcuts and diagrammatic explanations. The Class 10 Maths Chapter 10 PDF NCERT Solutions are all provided in easy-to-understand manner. Students who fully understand these solutions will be able to solve challenging situations with ease.

The teachers have carefully selected the Class 10 NCERT Solutions to help students become more adept at solving problems. Students can consult Bhautik study materials for Circles for a clearer understanding.

##### Chapter 10 of NCERT Class 10 Maths’ Unit 4 Geometry includes a circle. Unit 4 geometry in the class 10 second term exam carries a 22-mark weight. Throughout this unit, there will be four multiple-choice questions worth four marks, one mark for each multiple-choice question, six marks for short answer questions with two questions each, and two long questions worth twelve marks total—six marks for each question here class 10 maths 10.2 ncert solutions play an important role.

## What is the Advantage of Class 10 Maths Class 10 Maths 10.2 NCERT Solutions Provided by Bhautik Study?

Class 10 Maths 10.2 NCERT Solutions uses a number of important components.

It offers answers to all of the exercises’ problems from the NCERT Maths textbook for Class 10.

Make a practice of asking challenging questions to help you demonstrate your understanding of the subjects.

It includes the most recent CBSE syllabus broken down by terms as well as key categories of questions that will be asked throughout the test.

It is quite useful for practicing essential drawings.

helps you to retain key math techniques and formulas.

NCERT Answers, NCERT We supply all of the examples, notes, textbooks, videos, and animations for all of the classes and disciplines. In order to comprehend significant problem kinds from an examination perspective, students can also obtain additional study materials from the CBSE Board.

class 10 maths 10.1 ncert solutions –

What are some of the main points in Chapter 10 of the NCERT Solutions for Maths Class 10?

Answers to all of the problems in the NCERT Class 10 Maths textbook are provided in NCERT Solutions for Class 10 Maths Chapter 10 Circles.

They also allow you to practise answering challenging questions and demonstrate your understanding of the subjects.

Which are the main subjects covered in Chapter 10 of the NCERT Solutions for Class 10 Maths?

NCERT Solutions for Class 10 Maths Chapter 10 covers the following main topics: an introduction to circles; tangents; forming the number of tangents from a point on the circle; and the conclusion of the chapter 10 circle here Class 10 Maths 10.2 NCERT Solutions play an important role.

It seems like you’re asking about circles in the context of a class 10 mathematics curriculum. In class 10, students typically learn about various properties and concepts related to circles in geometry. Here’s an overview of some of the key topics covered:

Basic Definitions: Students learn what a circle is – a closed curve where all points are equidistant from a fixed point called the center.

Radius and Diameter: The radius of a circle is the distance from the center to any point on the circle. The diameter is the distance across the circle through its center, and it is twice the length of the radius.

Circumference: The circumference of a circle is the total distance around its outer edge. It is calculated using the formula: �=2��C=2πr, where �r is the radius and �π is a constant (approximately 3.14).

Area of a Circle: The area enclosed by a circle is calculated using the formula: �=��2A=πr2, where �r is the radius.

Arcs and Angles: Circles are divided into arcs, which are portions of the circumference. Students learn about central angles, inscribed angles, and their relationship to arcs and the circle.

Sector of a Circle: A sector is a region bounded by an arc and two radii. Students learn how to calculate the area and perimeter of sectors.

Tangents and Secants: Tangents are lines that touch the circle at only one point, while secants intersect the circle at two points. Students learn about the properties and relationships between tangents, secants, and the circle.

Cyclic Quadrilaterals: Quadrilaterals inscribed in a circle are called cyclic quadrilaterals. Class 10 students may learn about their properties and how to solve problems involving them.

Theorems: Class 10 students may encounter and prove theorems related to circles, such as the properties of tangents drawn to a circle from an external point, angles in the same segment, and alternate segment theorem.

Understanding these concepts helps students develop a solid foundation in geometry and lays the groundwork for more advanced topics in mathematics here Class 10 Maths 10.2 NCERT Solutions play an important role.