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NCERT Solutions for Class 10 Maths Chapter 10 Circles

Practise all the theorems and concepts related to circles with askIITians NCERT Solutions for Class 10 Maths Chapter 10 Circles. These solutions are a free study guide to help you prepare well for your board exams and master the topics given in the Circles chapter thoroughly. With these NCERT Solutions, you can practise how to approach questions related to circles and apply the theorems to get the right answer. They are prepared by askIITians experts based on the latest CBSE exam pattern and board exam syllabus. 

We have arranged the NCERT Solutions for Class 10 Maths Chapter 10 Circles in an exercise-wise manner so that you can access them easily. There are 2 exercises in this chapter with a total of 17 questions. We have covered all the important topics of the chapter like tangents, normals, radius-tangent relationships etc in our solutions for your complete exam preparation. Download our NCERT Solutions for Class 10 Maths Chapter 10 Circles for free in PDF form and start learning. 

About NCERT Solutions for Class 10 Maths Chapter 10 Circles

Class 10 Maths Chapter 10 Circles NCERT Solutions cover all important topics of the chapter. Let us revise some important definitions and theorems related to the chapter so that you can solve its exercise questions quickly. 

  • Circle: A circle is a collection of all points in a plane that are at a constant distance (radius) from a fixed point (centre or origin). 
  • Tangent: A tangent to a circle is the line that intersects the circle at only one point. 
  • The common point of the tangent and the circle is called the point of contact. 
  • Theorem: The tangent at any point of a circle is perpendicular to the radius through the point of contact. This means that at any point in a circle there can be one and only one tangent. The line containing the radius through the point of contact is called the ‘normal’ to the circle at the point.
  • Theorem: The lengths of tangents drawn from an external point to a circle are equal. We can prove this theorem by using the Pythagoras Theorem. 

There are two exercises in this chapter, each of which is important for your exam preparation. Let us see what is included in these exercises and how to solve them. 

NCERT Class 10 Circles Exercise 10.1 Solutions 

The first exercise of this chapter is based on tangents of a circle. There are 4 questions in this exercise including some very short answer questions. You can get these questions right if you have a thorough knowledge of the concepts of tangents. Check our NCERT Solutions for Class 10 Maths Chapter 10 Circles to find more about how to solve the questions of this exercise with full explanations. 

NCERT Class 10 Circles Exercise 10.2 Solutions 

The second exercise of the chapter is based on theorems related to tangents of a circle and the number of tangents from a point on a circle. There are 13 questions in this exercise including short answer questions and word problems. Many questions in this exercise require you to prove the given statements. You must solve such questions step by step to get full marks in the board exam. Check our NCERT Solutions for Class 10 Maths Chapter 10 Circles to know more about such questions. 

Download NCERT Solutions for Class 10 Maths Chapter 10 Circles

NCERT Solutions for Circles Chapter are important for students as they help them revise the main concepts of the chapter quickly. You can download these solutions for free in PDF form and save them for reference at any time. NCERT Solutions also ensure that every student can practice the questions at their own pace. Our easy, stepwise explanations will help resolve all your doubts related to the Class 10 Circles chapter. 

A few tips for solving the exercises of the Class 10 Maths Circles chapter: 

  • Make sure to read the questions at least twice so that you can understand them clearly. 
  • Always draw clear, labelled diagrams to understand the question better. If you are copying the diagram given in the question, make sure that the labelling is correct. 
  • Read and understand the proofs of the theorems of the chapter so that you can easily apply them to any question. 
  • Circles is an important chapter not only for Class 10 board exams but also for JEE and NEET. So make sure you practice all the NCERT exercise questions and examples. 

NCERT Solutions for Class 10 Maths Chapter 10 Circles FAQs

  1. Why are NCERT exercises important for students? 

NCERT exercises help solidify your basic concepts about the chapter and help you prepare for advanced concepts. Moreover, the CBSE Class 10 board exam is based on NCERT questions so practising the NCERT exercises ensures better exam preparation. 

  1. How many questions are there in the Class 10 Circles Chapter? 

There are 2 exercises and 17 questions in the Circles Chapter of Class 10 Maths. These include very short answer questions, short answer questions and long answer questions.

  1. Are there any other study materials for the Class 10 Circles Chapter? 

Yes, the askIITians team has created revision notes, sample papers, previous year questions, extra questions, flashcards and mind maps to help students prepare the NCERT Solutions for Class 10 Maths Chapter 10 Circles. 


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