Let R1 be an antisymmetric relation and R2 is inverse of R1. Find the R1 U R2 ?

Let R1 be an antisymmetric relation and R2 is inverse of R1. Find the R1 U R2 ?

Answer: A. Symmetric RelationClearly if (a,b) is present in R1 so (b,a) will be present in R1-1 . Hence R1 U R2 will be Symmetric relation

  1. A.

    Symmetric Relation

  2. B.

    Antisymmetric relation

  3. C.

    Asymmetric Relation

  4. D.

    None of the above

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Correct answer: A

Clearly if (a,b) is present in R1 so (b,a) will be present in R1-1 . Hence R1 U R2 will be Symmetric relation

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