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Ex.5.2 Q1 Introduction to Euclids Geometry Solution - NCERT Maths Class 9

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How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?


 Video Solution
Introduction To Euclids Geometry
Ex 5.2 | Question 1

Text Solution



For every line ‘\(l\)’ and for every point ‘\(P\)’ not lying on ‘\(l\)’, there exist a unique line \(‘m'\) passing through ‘\(P\)’ and parallel to ‘\(l\)’.

This is called as ‘Playfair’s Axiom’

  • \(l\) ’ is a line and ‘\(P\) ’ is a point not lying on ’\(l\) ’.
  • We can draw infinite lines through ‘\(P\) ’ but there is only one line unique which is parallel to ‘\(l\) ’ and passes through ‘\(P\) ’.
  • Take any point on ‘\(l\) ’ and draw to \(‘m'\). Measure these distances.
  • We know that it is same everywhere so these lines ‘\(l\) ’ and \(‘m'\) do not meet anywhere.
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