NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry (Ex 5.2) Exercise 5.2
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Geometry derives from the Greek words “Geo” for the earth and “Metrein” for measurement. It is one of the oldest fields of mathematics that has been studied by numerous cultures throughout history. Euclid’s geometry is the study of solids and planes based on the Egyptian mathematician Euclid’s axioms and postulates. It is primarily concerned with points, lines, circles, curves, angles, planes, solids, and so on. The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 include Introduction to Euclid’s Geometry and provide a quick overview of the origins of Geometry and its relationship to Modern Geometry. The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2, assist students in broadening their awareness of basic geometry principles and their applications.
Every student must have a strong understanding of geometry since it is an integral aspect of the mathematics curriculum and is necessary for many key computations. The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2, to Euclid’s geometry provide a comprehensive overview of all themes, allowing students to learn all major concepts.
NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry (Ex 5.2) Exercise 5.2
For CBSE students, NCERT Solutions are the finest option. The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 concentrate on fundamentals to help students grasp crucial ideas. Extramarks gives the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 with stepbystep solutions to the questions. The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 techniques may be used directly in the test.
NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry Exercise 5.2
When it comes to exam preparation, choosing Class 9 Maths Exercise 5.2 Solution is regarded as the best alternative for CBSE students. This chapter is filled with exercises. Extramarks has posted the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2, in PDF format on this website. Students can either download this solution at their leisure or study it at their convenience from the website or app online.
The problems and questions from the exercise have been meticulously handled by the internal Extramarks subject matter experts while adhering to all CBSE norms. Class 9 students who are well familiar with all of the topics in the Subject Introduction to Euclid’s Geometry textbook and are extremely familiar with all of the problems in the exercises presented in it can easily achieve the best possible marks in the final test. Students may readily comprehend the pattern of questions that can be asked in the test from Class 9 Maths Chapter 5 Exercise 5.2 with the aid of the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2, as well as the chapter’s relative significance, so that they may adequately prepare for the final exam.
Apart from the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2, there are several exercises in this chapter that feature a plethora of questions. The Extramarks topic specialists solve/answer all of the queries in Exercise 5.2 Class 9 Maths. As a result, all of these are guaranteed to be of high quality, and anyone can refer to them throughout test preparation. To get the highest possible grade in class, students must grasp all of the textbook concepts and complete the questions from the exercises that are provided.
For better test preparation, students can get access to the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 from the Extramarks website. If students have the Extramarks app on their phones, they can also download it using the app. The nice thing about the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 is that they can be accessed both online and offline.
NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry Exercise 5.2
The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 cover Euclid’s Fifth Postulate, and is the foundation of Euclid’s Geometry. In mathematics, Euclid’s fifth postulate, sometimes known as the parallel postulate, is extremely important. In Class 9 Maths Chapter 5 Exercise 5.2 there are two definitionbased problems using Euclid’s Fifth Postulate.
Students will readily understand this topic if they practice the questions offered in the Class 9 Maths Exercise 5.2 Solution. The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 focus on addressing this idea efficiently. A scrollable PDF version of the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 – Introduction To Euclid’s Geometry is available.
Geometry is the foundation for comprehending measurement and is surely used in a variety of practical situations, making it an essential aspect of Mathematics courses. Students can improve their understanding of basic Geometry principles by studying this essential topic with the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2. The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 may be used to study and practice. Students can practice the thorough exercisesbyexercise questions on Euclid’s Geometry offered below.
Chapter 5 Class 9 Maths Ex 5.1 – 7 Questions
Chapter 5 Class 9 Maths Ex 5.2 – 2 Questions
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The Extramarks NCERT Solutions for Class 9 have been authored by seasoned experts who are wellversed in the subject matter for which they have supplied solutions. Students will benefit from the solutions offered here since they are very thorough and the ideas from the textbooks have been carefully broken down to create better knowledge of the subjects. These Class 9 NCERT Solutions are intended to make students’ life simpler.
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Extramarks helps students create a strong conceptual foundation, which is critical in the later stages of preparing for competitive examinations. The Extramarks NCERT book solutions give a stepbystep solution to each question in the book. When students are having difficulty focusing on a specific question, they serve as the best guide. Experts in the field create NCERT Solutions to assist students with their test preparation. These solutions are provided in plain language that is easy to grasp, and they serve as the foundation for all types of tests. These answers assist students in preparing for tests in a variety of formats and give them clarity so they can pass the exams with ease.
Q.1 How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?
Ans
Two lines are said to be parallel if they are equidistant from each other and they do not have any point of intersection. In order to understand it easily, let us take any line l and a point P not on l. Then, by Playfair’s axiom (equivalent to the fifth postulate), there is a unique line m through P which is parallel to l.
The distance of a point from a line is the length of the perpendicular from the point to the line. Let AB be the distance of any point on m from l and CD be the distance of any point on l from m. It can be observed that AB = CD. In this way, the distance will be the same for any point on m from l and any point on l from m. Therefore, these two lines are everywhere equidistant from one another.
Q.2 Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
Ans
According to Euclid’s 5^{th} postulate, when n line falls on l and m and if
$\begin{array}{l}\angle \text{\hspace{0.17em}}1+\angle \text{\hspace{0.17em}}2<180\xb0\text{then}\angle \text{\hspace{0.17em}}3+\angle \text{\hspace{0.17em}}4>180\xb0.\\ \mathrm{Then}\text{}\mathrm{lines}\text{}l\text{and m will intersect as the sum of}\angle \text{\hspace{0.17em}}1\text{}\mathrm{and}\text{}\angle \text{\hspace{0.17em}}2\text{is}\\ \text{less then 180\xb0}\text{.}\\ \text{If}\angle \text{\hspace{0.17em}}1+\angle \text{\hspace{0.17em}}2=180\xb0\text{then}\angle \text{\hspace{0.17em}}3+\angle \text{\hspace{0.17em}}4=180\xb0\\ \mathrm{Then}\text{}\mathrm{lines}\text{}l\text{and m will not intersect as the sum of}\angle \text{\hspace{0.17em}}1\text{}\mathrm{and}\text{}\angle \text{\hspace{0.17em}}2\text{is}\\ \text{equal to 180\xb0}\text{. Therefore, we can say that lines are parallel}\text{.}\end{array}$
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FAQs (Frequently Asked Questions)
1. Is it necessary to practice all of the questions in the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2?
Students may easily obtain knowledge of all the important notations by thoroughly practising all of the questions and sample problems included in the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2. When students have a strong understanding of these topics, they may be able to apply their knowledge of adjacent areas quickly. Practising all of the questions in the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 will also equip them with the required direction and confidence to face a variety of competitive tests.
2. What is the relevance of the NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2?
The NCERT Solutions For Class 9 Maths Chapter 5 Exercise 5.2 after extensive research offer a perfect understanding of Euclid’s Geometry and further topics. The structure of the Exercise 5.2 Class 9 Solutions is fairly clear and suitable for comprehending complicated concepts. Students may quickly gain the appropriate strategy to excel in board examinations with the numerous examples and sample problems supplied in these solutions for Class 9 Maths Chapter 5 Exercise 5.2. NCERT solutions are a very dependable resource for studying and reviewing for examinations due to their remarkable quality.