NCERT Solutions for Introduction to Euclids Geometry Exercise 5.1 Class 9 Maths

Exercise 5.1 Class 9 Maths NCERT Solutions: Students learn Euclid’s approach to geometry in NCERT Class 9 Maths Chapter 5, i.e., Introduction to Euclid’s Geometry. Furthermore, they learn about Euclid’s Definitions, Axioms, Postulates, and Equivalent Versions of Euclid’s Fifth Postulate in this chapter. However, Exercise 5.1 focus only on Euclid’s Definitions, Axioms, and Postulates.

Candidates can find NCERT Solutions for Class 9 Maths Ex 5.1 on this page. Embibe’s best subject matter experts have provided detailed solutions to all the questions of exercise 5.1. Candidates can refer to these solutions to know the method of solving exercise questions. Furthermore, they can learn concepts and prepare for their exams. So, read on to find out more.

NCERT Solutions for Class 9 Maths Chapter 5 Exercise 5.1: Overview

Students can use NCERT solutions while solving exercise questions or for their exam preparation. But before getting into the NCERT Ex 5.1 Class 9 Maths Solutions, let us have an overview of Chapter 5 below:

Learn 9th CBSE Exam Concepts

NCERT Class 9 Maths Exercise 5.1 Solution PDF Download

When it comes to solving or practicing textbook questions, NCERT Solutions for Class 9 Maths will help students greatly. They can use NCERT Solutions when they get stuck during solving any exercise question. Solutions will help them get to know the procedure to solve the exercise question. Moreover, they can easily understand the method behind solving questions.

Candidates can check as well as download the NCERT Class 9 Maths Exercise 5.1 Solution PDF for at Embibe. The best teachers of Embibe have analysed and compiled the NCERT Class 9 Maths Chapter 5 Solutions for students. So, students can use our solution to know the in-depth procedure to solve any exercise question. Find below the solutions for Ex 5.1 Class 9 Maths:

Q.1: Is the statement true or false? Give reasons.
Only one line can pass through a single point.

Solution: Given, only one line can pass through a single point.

We know that through a single point, an infinite number of lines can pass.

Therefore, the given statement is false because an infinite number of lines can pass through a single point.

Practice 9th CBSE Exam Questions

Q.2: There are an infinite number of lines which pass through two distinct points.
True or False

Solution: We know that only one line can pass through two distinct points. Here in the following figure, we can find that there is only one line that can pass through two distinct points P and Q.

Hence, the given statement is false.

Benefits of Studying from NCERT Chapter 5 Ex 5.1 Class 9 Maths Solutions

Using solutions for study has various benefits. Students can check some of the benefits of NCERT Class 9 Math Chapter 5 Exercise 5.1 Solutions below:

• Students can download the NCERT Chapter 5 Ex 5.1 Class 9 Maths Solutions PDF at Embibe and study from it anytime they want.
• Embibe’s best subject experts have prepared the solutions that students can use for their exam preparation.
• Embibe’s NCERT Class 9 Maths Chapter 5 Solutions provide an in-depth understanding of topics and concepts.
• Students can find a detailed explanation of concepts behind solving exercise questions.
• Students can further use solutions whenever they get stuck while solving the textbook question and find out the method.
• NCERT Solutions are also very helpful in learning the basics of concepts for competitive exams like JEE Main, BITSAT, AP EAMCET, etc.

About NCERT Class 9 Maths Chapter 5 Ex 5.1

Exercise 5.1 contains 07 questions based on the topic of Euclid’s Definitions, Axioms, and Postulates. In this topic, students will learn about various definitions, axioms, and postulates that Euclid has provided.

Various Greek mathematicians of Euclid’s time thought of geometry as an abstract model of the world. From studies of the space and solids in the space, they developed an abstract geometrical notion of a solid object. According to them, a solid has shape, size, position, and is movable from one place to another. Its boundaries are called surfaces. The boundaries of the surfaces are called curves or straight lines. Furthermore, these lines end in points.

In each step, we lose one extension, also called a dimension. Thus, a solid has three dimensions, a surface has two, a line has one, and a point has none. Euclid summarised these statements as definitions and listed 23 definitions. Furthermore, Euclid assumed certain properties that are divided into two types, i.e., axioms and postulates.

He used the term ‘postulate’ for the assumptions that were specific to geometry. On the other hand, ‘axioms’ were assumptions used throughout mathematics and not specifically linked to geometry.

About NCERT Class 9 Maths Chapter 5: Introduction to Euclids Geometry

The word ‘geometry’ comes from the Greek words ‘geo’, meaning the ‘earth’, and ‘metrein’, meaning ‘to measure’. Moreover, geometry originated from the need for measuring the land. In this chapter, students will learn Euclid’s approach to geometry.

Students can find all the topics covered in the Introduction to Euclids Geometry chapter of NCERT Class 9 Maths below:

• 5.1: Introduction
• 5.2: Euclid’s Definitions, Axioms and Postulates
• 5.3: Equivalent Versions of Euclid’s Fifth Postulate
• 5.4: Summary

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FAQs on NCERT Exercise 5.1 Class 9 Maths Solutions

Candidates can find FAQs related to NCERT Class 9 Maths Exercise 5.1 solutions for the Introduction to Euclids Geometry chapter below:

Q.1: From where can I download NCERT Class 9 Maths Chapter 5 Exercise 5.1 Solutions?
Ans: Students looking for NCERT Solutions for Class 9 Maths Chapter 5 Ex 5.1 can visit Embibe and download the same for. Embibe offers detailed solutions to all the exercise questions that students can use to learn chapter concepts.

Q.2: How many questions are there in NCERT Chapter 5 Ex 5.1 Class 9 Maths?
Ans: The NCERT Class 9 Maths Ex 5.1 has a total of 07 questions.

Q.3: What are the topics covered in the NCERT Class 9 Maths Ex 5.1 of the Introduction to Euclids Geometry chapter?
Ans: Exercise 5.1 of NCERT Class 9 Maths Introduction to Euclids Geometry chapter contains questions on Euclid’s Definitions, Axioms, and Postulates.

Q.4: Why should I refer to NCERT Class 9 Maths Chapter 5 Ex 5.1 Solutions at Embibe?
Ans: Embibe’s NCERT Class 9 Maths solutions contain in-depth solutions to all exercise questions. The best subject matter experts of Embibe have compiled the solution for students. Through the solution, students can quickly learn concepts and the technique to solve questions.

Q.5: What is the benefit of studying from NCERT Solutions?
Ans: Students can find many benefits in using NCERT Solutions for study. Whenever they get stuck while solving any exercise question, they can use NCERT Ex 5.1 Class 9 Maths Solutions PDF to learn the procedure to solve that question. Furthermore, they can learn book concepts and find out the technique to solve exercise questions. Thus, they can prepare better for their exams.

We hope this article on NCERT Solutions for Introduction to Euclids Geometry Exercise 5.1 Class 9 Maths helps you. If you have any queries/doubts, leave them in the comment section below. We will get back to you at earliest as possible.

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