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Q.

The difference between a theorem and an axiom is that the theorem is proven true whereas an axiom is assumed to be true without proof.


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a

True

b

False 

answer is A.

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Detailed Solution

Theorem- It is a statement that has been proven true.
Axiom- It is a statement that is assumed to be true without proof.
A theorem is a non-self-evident statement that has been proven to be true, generally proven through testing or calculation.
And an axiom is a statement that is taken to be true, to serve as a starting point for further reasoning and arguments, and it is assumed to be true without proof.
Hence, option 1 is correct, and the given statement is true.
 
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The difference between a theorem and an axiom is that the theorem is proven true whereas an axiom is assumed to be true without proof.