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  • Let R= {(3,3), (5,5), (9,9), (12,12), (5,12), (3,9), (3,12), (3,5)} be a relation on the set A= {3,5,9,12}. Then R is :Option: 1 reflexive , symmetri

Let R= {(3,3), (5,5), (9,9), (12,12), (5,12), (3,9), (3,12), (3,5)} be a relation on the set A= {3,5,9,12}. Then R is :

Option: 1

reflexive , symmetric but not transitive 


Option: 2

symmetric, transitive but not reflexive


Option: 3

an equivalence relation.


Option: 4

reflexive, transitive but not symmetric


Answers (1)

best_answer

Let R= {(3,3), (5,5), (9,9), (12,12), (5,12), (3,9), (3,12), (3,5)} be a relation on the set

A= {3,5,9,12}

Clearly, every element of A is related to itself. Therefore, it is reflexive.

Now, R is not symmetric because 3 is related to 5 but 5 is not related to 3 .

Also, R is transitive relation because it satisfies the property that if aRb and bRc then aRc.

Posted by

Suraj Bhandari

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