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Let R be a relation on the set {1,2,3} ...

Let R be a relation on the set {1,2,3}
given by `R={(1,1),(2,2),(1,2),(2,1),
(2,3)}`.Which among the following
element to be included to R so that R
becomes Symmetric?

A

(3,3)

B

(3,2)

C

(1,3)

D

(3,1)

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Knowledge Check

  • A relation R on { 0,1,2} is given by R = { (0,0), (1,1),(0,1) , (2,2) , (1,2) } . Then the relation R is

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  • 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

    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 a relation on a set A such that R = R^(-1) , then R is

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    B
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    D
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