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Given A={1,2,3}, then the relation R={(1...

Given `A={1,2,3}`, then the relation `R={(1,1),(2,2),(3,3)}` is reflexive.

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Knowledge Check

  • If A=(1,2,3), then the relation R={(1,1)(2,2),(3,1),(1,3)} is

    A
    reflexive.
    B
    symmetric
    C
    transitive.
    D
    equivalence.
  • If A={1, 2, 3}, then the relation R={(1,1),(2,2),(3,1),(1,3)} , is

    A
    reflexive
    B
    symmetric
    C
    transitive
    D
    equivalence
  • The relation R = {(1,1),(2,2),(3,3)} on the set A={1,2,3} is

    A
    symmetric only
    B
    reflexive only
    C
    an equivalence relation
    D
    `transitive` only
  • Similar Questions

    Explore conceptually related problems

    Check whether the relation R={(1,1),(2,2)(3,3),(1,2),(2,3),(1,3)} is reflexive,symmetric and transitive or not.

    Show that the relation R on the set A={1,2,3} given by R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive but neither symmetric nor transitive.

    The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

    Show that the relation R in the set {1,2,3} given by R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive but neither symmetric nor transitive.

    Let A={1,2,3} and R={(1,1),(2,2),(3,3),(1,2),(2,3)}. show that R is reflexive but neither symmetric nor transitive .