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If set A = {x,y,z} and relation from A \rightarrowA is \left \{ (x,x);(y,z);(z,y);(x,z);(z,z) \right \} which ordered pair should be added to make it an identity relation?

  • Option 1)

    (y,y)

  • Option 2)

    (y,x)

  • Option 3)

    (z,x)

  • Option 4)

    (x,y)

 

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\}

 

 (y,y) should be added to this relation

 


Option 1)

(y,y)

Option 2)

(y,x)

Option 3)

(z,x)

Option 4)

(x,y)

Posted by

Himanshu

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