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
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
In the following figure, if AC = BD, then prove that AB = CD.
How many least number of distinct points determine a unique line?
How many lines can be drawn through both of the given points?
In how many lines two distinct planes can intersect?
How many least number of distinct points determine a unique plane?
In ancient India, the shapes of altars used for household rituals were ______.
Euclid belongs to the country ______.
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 statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
