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प्रश्न
“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.
विकल्प
True
False
उत्तर
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.
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संबंधित प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
line segment
In how many points a line, not in a plane, can intersect the plane?
The number of dimensions, a solid has ______.
Boundaries of surfaces are ______.
In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio ______.
The side faces of a pyramid are ______.
‘Lines are parallel, if they do not intersect’ is stated in the form of ______.
The edges of a surface are curves.
The statements that are proved are called axioms.
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.
