NCERT Solutions for Class 10 Maths Chapter 10 Exercise 10.2 Circles - PDF Download

NCERT solutions for class 10 maths chapter 10 Circles ex 10.2 is based on facts and another important theorem. The theorem states that the lengths of the tangents drawn from the external point to the circle are equal. Here are three facts that are presented in this exercise. 

All the questions in NCERT solutions class 10 mathematics chapter 10 ex 10.2 are based on these three concepts and the theorem in the previous exercise. This exercise consists of 13 questions ranging from moderate to difficult level. Most of the questions are proof based and long answer type questions. In order to solve the questions, students will require a more in-depth understanding of the topic and theorem mentioned in ex 10.2. It necessitates the utilization of students’ mathematical abilities and critical thinking skills.

Free PDF download of NCERT solutions for class 10 maths chapter 10 ex 10.2 are available on eSaral. These solutions are prepared by the academic team of mathematics. Students can download the PDF from eSaral and practice the questions anytime.

Download Now

Topics Covered in Exercise 10.2 Class 10 Mathematics Questions

NCERT solutions class 10 maths ex 10.2 questions on number of tangents from a Point on a circle, which have been elucidated by our qualified maths teachers on eSaral. 

1. Number of Tangents from a Point on a Circle - For a point on a circle, we can observe three different cases of the tangent number. In this section, you will learn about the theorem and how to prove it, as well as the three different cases to figure out the number of tangents from a point on a circle.

Case 1 - There is no tangent to a circle passing through a point lying inside the circle.

Case 2 - There is one and only one tangent to a circle passing through a point lying on the circle.

Case 3 - There are exactly two tangents to a circle through a point lying outside the circle.

2. Theorem 10.2 - The lengths of tangents drawn from an external point to a circle are equal.

Tips for Solving Exercise 10.2 Class 10 chapter 10 Circles

Ex 10.2 circle is the last exercise of NCERT solutions class 10 maths chapter 10. Here are some of the important tips provided by subject experts of eSaral which must be remembered before solving the questions.

1. The most important thing to remember is that in order to answer the proof based questions, students will need to do detailed study on different topics and theorems, such as length of the tangent from an external point, the sector, the secant, and so on. Students will need to read the question carefully and divide it into multiple parts.
2. Ex 10.2 of NCERT solutions class 10 maths chapter 10 is composed of complex questions. Therefore, it is recommended that students visualize the problems and draw the figures.
3. Once students are familiar with properties, theorems and formulas, they can solve this exercise with ease and increase their precision in performing calculations.

Importance of Solving Ex 10.2 Class 10 Maths chapter 10 Circles

The main benefits of NCERT solutions for ex 10.2 maths are listed below.

1. If you can solve all the questions in ex 10.2 class 10 maths, you'll get a better idea of the concept of problem solving as it is asked about tangents and chords in chapter 10 class 10 math.
2. NCERT solutions for class 10 ex 10.2 includes long, descriptive, and short answers type questions.
3. NCERT solutions by subject experts of eSaral Provides various types of questions on circles.
4. You can also download all the solutions to the questions of ex 10.2 for free in the pdf format from eSaral.
   Once this chapter is done, the NCERT solutions for class 10 Maths page makes it easy to move straight into the next one.

Frequently Asked Questions

Question 1. What is the theorem covered in NCERT solutions class 10 maths ex 10.2?

Answer 1. The theorem covered in NCERT solutions class 10 maths ex 10.2 is the lengths of tangents drawn from an external point to a circle are equal.

Question 2. Where can I find the solution to class 10 maths chapter 10 ex 10.2?

Answer 2. The eSaral website provides the solution PDF for NCERT class 10 maths chapter 10 ex 10.2, Students can download the PDF of ex 10.2 and practice the questions.