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.
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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.