NCERT Solutions for Class 9 Maths Chapter 5

Important NCERT Questions

Introduction To Euclid’s Geometry

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 5.1

Page No:85

Questions No: 3

Consider two ‘postulates’ given below:

(i) Given any two distinct points A and B, the re exists a third point C which is in between A and B.

(ii) There exist at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent?

Do they follow from Euclid’s postulates? Explain.

Get Hindi Medium and English Medium NCERT Solution for Class 9 Maths to download.

Please follow the link to visit website for first and second term exams solutions.

https://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-5/

There are several undefined terms which should be listed. They are consistent, because they deal with two different situations

(i) says that

Given two points A and B, there is a point C lying on the line in between them;

(ii) says that:

Given A and B, you can take C not lying on the line through A and B.

These ‘postulates’ do not follow from Euclid’s postulates. However, they follow from Axiom 5.1.