Which of the following requires a proof?

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Axiom

Definition

Theorem

Postulate

answer is D.

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Detailed Solution

Defining each of the terms given in the option,
Theorem- A theorem is a statement, or concept that embodies a proof that is proved by using other propositions or axioms.
Axiom- An axiom is a statement that is assumed to be true without proof.
Postulate,
A postulate is a self-evident proposition that does not need any proof and is basically itself used as proof.
Definition- A definition is a statement that aims at making something definite, distinct, clear, or explanatory. And thus, it doesn’t involve writing a proof.
Thus, theorems need to be proved.
Hence, option 4 is correct.

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