If $A$ and $B$ are two equivalence relations defined on set $C$ , then

A \cap B

is an equivalence relation

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A \cap B

is not an equivalence relation

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A \cup B

is an equivalence relation

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A \cup B

is not an equivalence relation

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Solution

The correct option is A $A \cap B$ is an equivalence relation
If $A$ and $B$ are equivalence relations, then from the definition of equivalence relations $A \cap B$ is an equivalence relation

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If A and B are two equivalence relations defined on set C, then

The correct option is A A∩B is an equivalence relationIf A and B are equivalence relations, then from the definition of equivalence relations A∩B is an equivalence relation

If $A$ and $B$ are two equivalence relations defined on set $C$ , then

The correct option is A $A \cap B$ is an equivalence relation
If $A$ and $B$ are equivalence relations, then from the definition of equivalence relations $A \cap B$ is an equivalence relation