Advertisements
Advertisements
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
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)
In how many points a line, not in a plane, can intersect the plane?
How many planes can be made to pass through two points?
How many planes can be made to pass through three distinct points?
The side faces of a pyramid are ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
Euclid belongs to the country ______.
Solve the following question using appropriate Euclid’s axiom:
It is known that x + y = 10 and that x = z. Show that z + y = 10?
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.

Solve the following question using appropriate Euclid’s axiom:
In the following figure, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.

