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Relation R = {(4,5),(1,4),(4,6),(7,6),(3...

Relation `R = {(4,5),(1,4),(4,6),(7,6),(3,7)}` then `R^(-1)OR = `.......

A

`{(1,1),(4,4),(7,4),(4,7),(7,7)}`

B

`{(1,1),(4,4),(4,7),(7,4),(7,7),(3,3)}`

C

`{(1,5),(1,6),(3,6)}`

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let R be the relation in the set {1,2,3,4} given by R = {(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)} . Choose the correct answer.

    A
    R is reflexive and symmetric but not transitive .
    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
    R is an equivalence relation.
  • Let R be the relation in the set {(1,2,3,4} given by R ={(1,2), (2,2), (1,1) (4,4),(1,3), (3,3), (3,2)}. Choose the correct answer.

    A
    R is reflexive symmetric but not transitive.
    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
    R is an equivalence relation.
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