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Which of the following relation is an identity relation in set A = {1,2,3}

  • Option 1)

    \left \{ (1,1);(1,2);(1,3); (2,2);(3,3)\right \}

  • Option 2)

    \left \{ (1,1);(2,2);(3,3);(2,3)\right \}

  • Option 3)

    \left \{ (1,1);(2,2);(3,3)\right \}

  • Option 4)

    All of the above.

 

Answers (1)

best_answer

As we have learnt,

 

Identity Relation -

If every element of A is related to itself only.

- wherein

I_{A}=\{ (A,A):a\epsilon A\}

 

 Only (C) is an identity relation, Since (1,1), (2,2) and (3,3) are present.

 


Option 1)

\left \{ (1,1);(1,2);(1,3); (2,2);(3,3)\right \}

Option 2)

\left \{ (1,1);(2,2);(3,3);(2,3)\right \}

Option 3)

\left \{ (1,1);(2,2);(3,3)\right \}

Option 4)

All of the above.

Posted by

Himanshu

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