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प्रश्न
How many least number of distinct points determine a unique line?
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उत्तर
If we have a single point A then we can draw infinite number of lines through it, while if we have two points A and B; then only one unique line passes through both of them.
When we have one point,
When we have two points,
Therefore, a minimum of two distinct points are required to determine a unique line.
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संबंधित प्रश्न
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.
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 two distinct lines can intersect?
In how many lines two distinct planes can intersect?
How many planes can be made to pass through two points?
The number of dimension, a point has ______.
Euclid divided his famous treatise “The Elements” into ______.
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is ______.
Pythagoras was a student of ______.
If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.
