NCERT Solutions for Circles Exercise 10.1 Class 10 Maths

Exercise 10.1 Class 10 Maths:  The Chapter Chapter 10 of Class 10th NCERT is on Circles. ‘Circles’ is considered one of the most important chapters in Geometry and Construction. Exercise 10.1 Class 10 Maths is the first exercise of this chapter, so it is based on the basic concepts of circles, like non-intersecting lines, tangents and secant of circles. This article will provide you with Class 10 Maths 10.1 NCERT Solutions to help you solve the questions quickly and resolve any doubts that you may have.

NCERT Solutions for Exercise 10.1 Class 10 Maths are developed by experienced subject-matter experts who have in-depth knowledge of every concept of Circles. Students can check the solutions of every question of this exercise and can also download the Exercise 10.1 of Circles NCERT Solutions PDF provided in the later section of this article. Read the article to learn more about Circles and NCERT Solutions for Exercise 10.1 Class 10 Maths.

NCERT Solutions for Circles Exercise 10.1 Class 10 Maths: Overview

NCERT Solutions for Exercise 10.1 Class 10 Maths will provide you with accurate and easy to understand answers to all the questions. The students can save the PDF of 10th Class Math 10.1 Exercise Solutions and access them anytime they need help with the chapter. Before getting to the detailed solutions, let us have an overview of NCERT Solutions for Exercise 10.1 Class 10 Maths in the table provided below.

NCERT Solutions for Circles Exercise 10.1 Class 10 Maths: PDF Download

To achieve good marks in CBSE Class 10th Mathematics exams, students should prepare all the topics well. The most effective way to understand a topic in mathematics is to learn the basic concepts and important formulas and practice a good number of questions on it. Practicing NCERT questions not only helps the students with their board exams but also assists them in preparing for the competitive exams they appear for after completing school.

Students should solve all the NCERT Exercise 10.1 Class 10 questions with NCERT Solutions prepared by the brilliant subject matter experts at embibe. They can also download the NCERT Solutions of Exercise 10.1 of Circles PDF, the link to which is provided under this section. These PDF files can be easily accessed offline and will be helpful in the last-minute revision of the topic ‘Circles’. Find the PDF for Circles Exercise 10.1 Class 10 Maths below:

NCERT Solutions for Circles Exercise 10.1 Class 10 Maths: Advantages/ Benefits

Excellent subject matter experts at Embibe have prepared NCERT Solutions for Circles Exercise 10.1 Class 10 Maths for the students to help them prepare for their board exams. ‘Circles’ is an important chapter in Geometry which is considered one of the most scoring chapters in Class 10th Mathematics. Students preparing for CBSE Class 10th exams must solve all the questions of NCERT Exercises to understand the topics better. The major benefits of NCERT Solutions for the Exercise 10.1 of Circles have been given in the points below:

• The NCERT Solutions for Exercise 10.1 Class 10 Maths are aligned with the latest guidelines of the CBSE board.
• The solutions for NCERT Class 10th Mathematics Exercises have been prepared by the subject matter experts who have a deep understanding of all mathematics concepts for Class 10th. They also have a significant amount of work experience in this field, which makes it easier for them to understand what is best for the students.
• The solutions to the questions of Exercise 10.1 Class 10 Maths have been explained in as much detail as possible to help the students understand them easily.
• The Class 10th NCERT Solutions PDFs come in handy for revision and last-minute preparations for board exams.
• The weightage of the chapters provided in the NCERT solutions helps the students to understand the significance of a particular topic from the point of view of examination.
• Students can carry the NCERT Solutions for as many exercises as they want on their phones or laptops without having to worry about carrying heavy books or notebooks everywhere they go.
• These NCERT Solution PDFs are available absolutely of cost for all the exercises of all the NCERT Chapters on Embibe.
• Students preparing for competitive exams like NEET, JEE Main, BITSAT, etc., can also get help from these solutions while completing the NCERT books of the subjects asked in the exams. 

About Exercise 10.1 Class 10 Maths

Exercise 10.1 Class 10 Maths NCERT Book is based on Circles. A circle is a collection of all points in a plane which are at a constant distance (radius) from a fixed point called its centre. Class 10th students are already familiar with the fundamental concepts of circles like the chord, segment, sector, arc etc. The Exercise 10.1 of Circles is based on the topics like non-intersecting lines, secants and tangents to circles.

If we consider a circle and a line PQ, then,
(i) If the line PQ and the circle have no common point, the line PQ is called a non-intersecting line with respect to the circle.
(ii) If there are two common points, say, A and B, that the line PQ and the circle have, then we call the line PQ a secant of the circle. 
(iii) If there is only one point, say A, which is common to the line PQ and the circle, then the line PQ is called a tangent to the circle.

Tangent to a Circle: A tangent to a circle is a line that intersects the circle at only one point. The tangent to a circle is a special case of the secant when the two endpoints of its corresponding chord coincide. The common point of the tangent and the circle is called the point of contact, and the tangent is said to touch the circle at the common point.

Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Proof: We are given a circle with centre O and a tangent XY to the circle at a point P. We need to prove that OP is perpendicular to XY.
Take a point Q on XY other than P and join OQ (see the figure at the bottom of this section).
The point Q must lie outside the circle. If Q lies inside the circle, XY will become a secant and not a tangent to the circle. Therefore, OQ is longer than the radius OP of the circle. That is,
OQ > OP.

Since this happens for every point on the line XY except the point P, OP is the shortest of all the distances from point O to points of XY. So OP is perpendicular to XY.

FAQs About NCERT Solutions for Circles Exercise 10.1 Class 10 Maths

Here are the most frequently asked questions about NCERT Solutions for Circles Exercise 10.1 Class 10 Maths:

Q.1: Where can I find NCERT Solutions for Class 10 Maths?
Ans: NCERT Solutions for circles Class 10 Maths have been provided under this post by embibe. Students can also find the direct links to download the PDF of NCERT solutions that can be accessed offline as well.

Q.2: I need solutions for all the questions of Exercise 10.1 Class 10 Maths. Where can I find the solutions?
Ans: The detailed solutions for all the questions of Circles Exercise 10.1 Class 10 Maths are provided in this article. Students can also download the PDF file to access the solutions offline.

Q.3: Are NCERT Solutions for Class 10 Maths sufficient to prepare for CBSE Class 10th exams?
Ans: Yes, NCERT Solutions for Class 10 Maths provided by Embibe are sufficient to prepare for CBSE Class 10th exams. Each and every exercise of all the chapters has been covered exhaustively in these NCERT Solutions for Class 10th.

Q.4: Is it possible to score full marks in CBSE Class 10 Maths exam by reading just NCERT solutions?
Ans: Yes, if you practice all the questions provided in Embibe’s NCERT Solutions for Class 10 Maths, you can score full marks in CBSE Class 10 Maths exam.

Q.5: Where can I find the NCERT Solutions for Exercise 10.1 Class 10 Maths and other exercises?
Ans: You can find NCERT solutions for Circles Exercise 10.1 Class 10 Maths Exercise 10.1 and all the other exercises at Embibe.

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