NCERT Solutions For Class 9 Maths Chapter 9 Exercise 9.2 Circles - PDF Download

NCERT solutions for class 9 maths chapter 9 ex 9.2 is mainly based on the topic of perpendicular from the center to chord and circle through three points and equal chords and their distances from the centre. You will solve questions based on four main theorems included in this exercise. Ex 9.2 class 9 maths solutions will help you to grasp all the concepts and theorems associated with these topics.

Class 9 chapter 9 exercise 9.2 NCERT solution consists of six questions. The majority of the questions in this exercise are finding the chord based questions as per statements. NCERT solutions for ex 9.2 class 9 are provided by subject experts of eSaral. These solutions are also available in PDF format. Students can easily download these free PDFs of ex 9.2 from eSaral website to practice questions at their own pace.

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Topics Covered in Exercise 9.2 class 9 Mathematics Questions

Ex 9.2 class 9 maths chapter 9 covers topics associated with perpendicular from the centre to a chord, equal chords and their distances from the centre and theorems.

1. Perpendicular from the Centre to a Chord

There are two important theorems to understand this topic.

• Theorem 9.3: The perpendicular from the centre of a circle to a chord bisects the chord.
• Theorem 9.4: The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

2. Equal Chords and their Distances from the Centre - The length of the perpendicular from a point to a line is the distance of the line from the point.

In this section, you will study two important theorems related to the above topic.

• Theorem 9.5: Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres).
• Theorem 9.6: Chords equidistant from the centre of a circle are equal in length. 
  

Tips for Solving Exercise 9.2 class 9 chapter 9 Circles 

Exercise 9.2 of chapter 9 NCERT solutions class 9 provides students with the correct methodology and tips to solve the questions associated with the Circles.

1. Students need to focus on the key theorems in ex 9.2 to remember the facts and concepts, as well as how to solve questions. This will help them get the right mindset to get ready for the exam.
2. Having a good understanding of the fundamental concepts and theorems related to the circle will allow you to take a step-by-step approach to solve all the questions in this exercise.
3. Students should also solve the examples available before the exercise in the NCERT solutions class 9 maths chapter 9 exercise 9.2.
   

Importance of Solving Ex 9.2 class 9 Maths chapter 9 Circles

NCERT solutions class 9 maths chapter 9 ex 9.2 are designed to remove all your doubts related to topics mentioned in exercise 9.2. Here are some of the benefits mentioned below.

1. All the questions in ex 9.2 are unique. By solving all the questions in this exercise, you will learn how to recognize a question and solve it in a short time. The solutions help you make sure your concepts are clear.
2. Exercise 9.2 in class 9 maths will help us understand the theorems related to chords and circles.
3. Class 9 maths chapter 9 ex 9.2 provides a variety of problems based on the  perpendicular from the centre to a chord, equal chords and their distances from the centre.
4. You can download NCERT solutions for chapter 9 ex 9.2 for free from eSaral.

Frequently Asked Questions

Question 1. What is the core concept of NCERT solutions for class 9 maths ex 9.2?

Answer 1. In this exercise, the core concepts of NCERT solutions class 9 maths are Perpendicular from the Centre to a Chord and Equal Chords and their Distances from the Centre.

Question 2. What is the difference between a Chord and a Diameter?

Answer 2. Chord is a line segment that is drawn between two points on the circle. The diameter of the circle is drawn in the center of the circle. The diameter cuts the circle in half. The radius of circle is defined as half of the diameter.