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Question

Which one of the following option is correct for the statement :
A line can extend to infinity.

A

It is an axiom.
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B

It is a theorem
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C

Neither axiom nor theorem.
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D

Either axiom or theorem
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Solution

The correct option is A
It is an axiom.
Theorem: A mathematical statement that we know is true and which has a proof is a theorem.
Axiom: A mathematical statement which we assume to be true without a proof is called an axiom.



In geometry, the statement that a line can extend to infinity. This is an Axiom because we do not need a proof to state its truth as it is evident in itself.

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