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Q.

Which of the following needs a proof?

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a

Axioms

b

Postulates

c

Definitions

d

Theorems

answer is D.

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Detailed Solution

Statements or propositions that have been proven, accepted, or are self-evidently true are called axioms.
A definition is a statement that expresses the meaning of a word.
A postulate suggests or proposes the existence, actuality, or truth of something as a basis for reasoning, discussion, or belief (something).
All axioms, postulates, and definitions are self-evident and do not require evidence.
A theorem is a statement that must be shown to be true.
Therefore, a theorem is a proposition which needs a proof to establish its truth.
Hence, option (4) is correct.

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