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Axioms

'Things which...

Question

'Things which are equal to same thing are equal to one another' this statement is

A

An axiom

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B

a conjecture

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C

a theorem

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D

not a mathematical statement

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Solution

The correct option is A An axiom
A=B, C=B, then A=C or C=A

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Q. 'Things which are equal to the same thing are equal to one another'. This statement is an axiom.

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Q. Read the following axioms:
(i) Things which are equal to the same thing are equal to one another.
(ii) If equals are added to equals, the wholes are equal.
(iii) Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.

State True or False:
'Things which are equal to the same thing are equal to each other'. This statement is an axiom.

Q. 'Things which are double of the same things are equal to one another' - What kind of a statement is this?

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