Advertisements
Advertisements
प्रश्न
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
पर्याय
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
Since, through a single point, an infinite number of lines can pass. In the following figure, it can be seen that there are infinite numbers of lines passing through a single point P.
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.)
How many planes can be made to pass through three distinct points?
The number of dimensions, a solid has ______.
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is ______.
Thales belongs to the country ______.
Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.
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, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.
In the following figure AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.
Read the following two statements which are taken as axioms:
- If two lines intersect each other, then the vertically opposite angles are not equal.
- 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.
