English

“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom. - Mathematics

Advertisements
Advertisements

Question

“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

The given statement is an equivalent version of Euclid’s fifth postulate and it is known as Playfair’s axiom.

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Introduction To Euclid's Geometry - Exercise 5.2 [Page 49]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 9
Chapter 5 Introduction To Euclid's Geometry
Exercise 5.2 | Q 7. | Page 49

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

How many least number of distinct points determine a unique line?


Pythagoras was a student of ______.


Which of the following needs a proof?


Euclid stated that all right angles are equal to each other in the form of ______.


‘Lines are parallel, if they do not intersect’ is stated in the form of ______.


Solve the following question using appropriate Euclid’s axiom:

Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.


Read the following statement :

An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.


Read the following two statements which are taken as axioms:

  1. If two lines intersect each other, then the vertically opposite angles are not equal.
  2. If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°.

Is this system of axioms consistent? Justify your answer.


Read the following axioms:

  1. Things which are equal to the same thing are equal to one another.
  2. If equals are added to equals, the wholes are equal.
  3. Things which are double of the same thing are equal to one another.

Check whether the given system of axioms is consistent or inconsistent.


The following statement is true or false? Give reason for your answer.

In the following figure, if AB = PQ and PQ = XY, then AB = XY.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×