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Relation R in the set {1,2,3,4} given by...

Relation R in the set {1,2,3,4} given by `R={(1,1)(2,2),(1,2),(2,3),(3,3),(4,4)} `is

A

Reflexive

B

Symmetric

C

Transitive

D

Equivalence Relation

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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.

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.

Knowledge Check

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

    A
    R is reflexive
    B
    R is transitive
    C
    R is symmetric
    D
    R is reflexive and transitive but not symmetric

  • 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

  • LetR be the relation on the seM = {1, 2, 3, 4} given by R = {(1,2), (2,2), (1,1), (4,4), (1,3), (3, 3), (3,2)}. Then

    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

    • Similar Questions

    Explore conceptually related problems

    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.

    Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, 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

    If R is a relation on the set A={1,\ 2,\ 3} given by R=(1,\ 1),\ (2,\ 2),\ (3,\ 3) , then R is (a) reflexive (b) symmetric (c) transitive (d) all the three options

    The relation in the set A = {1, 2, 3} given by R = {(2,3),(3,2),(1,1)} is:

    Let P={1, 2, 3} and a relation on set P is given by the set R={(1,2),(1,3),(2,1),(1,1),(2,2),(3,3),(2,3)}. Then R is:

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