NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1
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The primary textbooks for CBSE students are NCERT books, and with adequate utilisation, students can be wellprepared for their future endeavours. NCERT books are highly helpful for students and offer a variety of benefits for enhancing their foundational knowledge. NCERT books support the development of a thorough understanding of the essential concepts of every topic. By carefully reading the NCERT textbooks, students may fully comprehend the ideas. This is bound to be beneficial in the long run since students will be able to solve problems effectively and efficiently once they have the necessary conceptual clarity. Students would not need to learn concepts if they understand them. Students can benefit from the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 if they have any queries.
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ToggleStudents who intend to take competitive exams can use the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1. Students who intend to choose the Science stream in Class 11 should begin preparing in Class 10, and NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 will be essential in this regard. Although Mathematics may appear to be a difficult academic subject, students should be aware that renowned mathematicians from all around the world have contributed to it over the course of centuries. NCERT books are written with the idea of what students’ minds can comprehend at a certain age in mind, and they are modelled after that age.The NCERT textbooks’ goal is for students to grow intellectually. Extramarks has assembled NCERT Solutions to support students in their academic endeavours while keeping in mind the structure of NCERT books. Physics, Chemistry, Economics, Engineering, and other areas are now using Mathematics as well. To fully comprehend some topics in these areas, knowledge of Mathematics is required. In some curricula, Mathematics is taught as an “instrumental subject” to support the study of other disciplines, while in others, integrated courses that combine Mathematics and other subjects are available. Forms, shapes, sizes, degrees, temperatures, finance, time, and timepieces are all examples of Mathematics. Therefore, students should try to comprehend the idea of Mathematics and focus on every topic. The NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 will be there for students’ help.
Students who carefully study from NCERT textbooks will do well in their examinations and have a solid conceptual understanding. Therefore, NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 are helpful for the times when students run into issues when trying to solve problems, and it can become complicated when students get stuck on a problem. Extramarks has been a great help to students in overcoming all of these problems and has improved their conceptual understanding. When students answer the questions, they will quickly comprehend the answers since NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 are written in an easytounderstand manner.
NCERT Solutions for Class 10 Maths Chapter 10 Circles (Ex 10.1) Exercise 10.1 (include NCERT Solutions for Class 10 Maths Chapter 10 Circles Pdf)
CBSE Class 10 students can easily download the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 from the Extramarks’ website or its mobile application so that they can get the solutions for Exercise 10.1 Class 10 Maths in PDF format to see and revise even when they are not connected to the internet. NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 will help them understand the questions better.
The NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 – Circles are helpful for students to solve questions. As a stepping stone to Class 11, Class 10 is significant in a student’s life. Students will never feel lost or puzzled about a question if they use the Extramarks’ NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1. Extramarks follows the format used in the NCERT Maths book. Class 10 is a pivotal year for students’ academic goals. Students must have a distinct idea and be aware of the benefits and drawbacks of the stream they will select. Since the students are under a lot of pressure, NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 tries to make things simpler for them. Students at times get befuddled and do not understand how to solve a certain question so they must seek help from NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1. As the right stream shapes the future of students, hence they must choose the subject of their interest. Students need to be crystal clear about what they want to make of themselves when it comes to their careers. Extramarks provides the assistance of NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1. Students must access the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 in PDF format so that they can save it on their devices and study it from time to time. Therefore, it is important that students solve each and every question of Exercise 10.1 Class 10 by following the methods of NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1.
In order to be able to answer any questions that may be asked during board examinations or yearly examinations, NCERT books make students’ comprehension very clear. Extramarks concentrates on the NCERT books while also offering solutions to a variety of other publications, ensuring that students have no challenges while answering questions. NCERT textbooks absolutely comply with all CBSE guidelines. The nation’s top management and research organisation is NCERT. As a result, students who follow the CBSE board curriculum should be aware that they can pass the CBSE examinations with good grades by only studying the NCERT textbooks. Students may find answers to every question in the NCERT books and more on Extramarks, a learning website. There is no doubt that the NCERT Solutions for Class 10 Maths, Chapter 10, Exercise 10.1, have been solved in order for students to score well and learn smart and simple steps in solving mathematics questions.
Access NCERT Solution for Class 10 Maths Chapter 10 – Circles
Students can get access to solutions of the other exercises as well of Class 10 Maths Exercise 10.1 and Exercise 10.2 of the NCERT book. As ‘Circles’ is one of the most important chapters of Class 10. Students must solve every exercise of the given chapter and Extramarks has provided the solutions to each question of Chapter 10 – Circles. The first exercise 10.1 has a total number of 4 questions which includes 1 short answer question, 1 fillintheblanks question and 2 long answer questions and that can be accessed from NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1. The second exercise 10.2 has a total number of 13 questions which includes 10 long answer questions, 4 descriptive type questions and 2 short answer questions that can also be accessible from NCERT Solutions.
Students can access various learning tools from Extramarks’ website as it can help students with a thorough understanding and holistic preparation for their board examinations. Students can access past years’ papers and sample question papers along with revision notes and much more. Students can register on Extramarks’ website for livedoubt solving sessions. These sessions are conducted by highly experienced professionals and can help the students with conceptual clarity of all the topics or chapters they are facing difficulties with.
Students who prepare for examinations like the Joint Entrance Exam (JEE) can utilise Extramarks’ learning tools. This provides students who aspire to attend the Indian Institute of Technology (IITs) and National Institute of Technology (NITs) with a fundamental understanding. Students may also apply for competitive examinations like Central Universities Entrance Test (CUET). The questions will be multiple choice, and NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 will be helpful in answering them.To succeed on competitive exams like the Joint Entrance Examination, Mathematics is essential..
Students need to be aware that Extramarks is a platform where they can receive support and encouragement from qualified instructors in particular academic areas. In order to quickly review NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1, students must access Extramarks. Students can access the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 so that they can rely on Extramarks for their questions and concerns.
NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1
Extramarks improves the skills and talent of students and makes them sharp. Apart from the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1, students will be able to access other study materials like live classes, past years’ papers, sample question papers, a complete and updated syllabus, etc.
Extramarks offers resources for all boards, including CBSE, ICSE, and different state boards. Extramarks has ensured that every chapter of Class 10 must be solved precisely and clearlyon this platform. Students can benefit greatly from the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1. Therefore, students are advised to look into the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1. Every question from the NCERT Class 10 Mathematics books has been answered by Extramarks’ subjectmatter specialists. Students should begin solving new chapters with the help of Extramarks’ solutions, as they contain all the answers along with the methods and patterns implemented to solve them. Extramarks’ primary goal is to teach students how to depend on themselves by simply illuminating the proper path.
Practice is the key to acing Mathematics and students must solve the same questions again and again until they understand the concepts behind the question. Extramarks teaches students to understand the concepts behind the questions rather than just memorising. Students who complete the steps in NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 immediately see their exam score increase.Students must remember that each and every question is important in their board examination. Although Circles is a small chapter, its theorems are very important. Students are advised to solve the questions from the NCERT book first and then solve the past year’s papers and sample question papers provided by Extramarks. The NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 will help students in solving all questions of the NCERT book. Students must follow the instructions from the NCERT book and get assistance from the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1.
Q.1 How many tangents can a circle have?
Ans. A circle can have infinite tangents.
Q.2 Fill in the blanks:
(i) A tangent to a circle intersects it in ______ point (s).
(ii) A line intersecting a circle in two points is called a _________.
(iii) A circle can have _______ parallel tangents at the most.
(iv) The common point of a tangent to a circle and the circle is called _______.
Ans.
(i) A tangent to a circle intersects it in one point.
(ii) A line intersecting a circle in two points is called a secant.
(iii) A circle can have two parallel tangents at the most.
(iv) The common point of a tangent to a circle and the circle is called point of contact.
Q.3
$\begin{array}{l}\text{A tangent PQ at a point P of a circle of radius 5 cm meets a line through}\\ \text{the centre O at a point Q so that OQ = 12 cm. Length PQ is}\\ \left(\text{A}\right)\text{12 cm \hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\left(\text{B}\right)\text{13 cm}\\ \left(\text{C}\right)\text{8.5 cm \hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}\left(\text{D}\right)\text{}\sqrt{\text{119}}\text{\hspace{0.33em}cm}\end{array}$
Ans.
$\begin{array}{l}\text{We know that the line drawn from the center of the circle}\\ \text{to the tangent is perpendicular to the tangent.}\\ \therefore \text{OP}\perp \text{PQ}\end{array}$
$\begin{array}{l}\text{By applying Pythagoras theorem in \Delta OPQ, we get}\\ {\text{OP}}^{\text{2}}{\text{+PQ}}^{\text{2}}{\text{= OQ}}^{\text{2}}\\ {\text{or 5}}^{\text{2}}{\text{+PQ}}^{\text{2}}{\text{= 12}}^{\text{2}}\\ {\text{or PQ}}^{\text{2}}\text{= 144}\text{25 = 119}\\ \text{or PQ =}\sqrt{\text{119}}\text{cm.}\\ \text{Hence, the correct option is (D).}\end{array}$
Q.4 Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
Ans.
Here, we draw a circle centred at O and having AB as diameter. We draw two lines CD and XY parallel to diameter AB. CD is a secant and XY is a tangent to the circle at point P.
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FAQs (Frequently Asked Questions)
1. Are the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 solved topicwise according to the NCERT book of Mathematics?
Yes, NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 have been solved topicbytopic in accordance with the NCERT Mathematics book. The experts always ensure that NCERT books remain at the centre of their study material so that students can easily find the questions in the book after reading the solutions from NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1.
2. How can students access the NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1?
Students can get NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 from the Extramarks website and mobile application, and download the PDF of the same from there. These soltions are simple to understand and beneficial to students preparing for board examinations and other entrance examinations.
3. Are NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 of the updated syllabus of Mathematics Class 10?
Yes, Extramarks keeps track of all updates and new topics added to the syllabus. They leave no stone unturned in order to ensure that students face no difficulties. As a result, NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 are from the most recent syllabus, as experts always make changes when something new arises.
4. Is it helpful to download NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1?
Yes, without a doubt, downloading NCERT Solutions Class 10 Maths Chapter 10 Exercise 10.1 is very beneficial because they are topicwise notes and solutions to NCERT questions, so students do not have to worry about anything. They only have to focus on studying minutely and in the end, they will be able to solve all their confusion.