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Determine whether each of the following...

Determine whether each of the following relations are reflexive, symmetric and transitive:(i) Relation R in the set `A = {1, 2, 3, ..., 13 , 14}`defined as `R = {(x , y) : 3x y = 0}`(ii) Relation R in the set N o

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The correct Answer is:
(i) Neither reflexive nor symmetric nor transitive.
(ii) Neither reflexive nor symmetric but transitive.
(iii) Reflexive and transitive but not symmetric.
(iv) Reflexive, symmetric and transitive.
(v) (a) Reflexive, symmetric and transitive.
(b) Reflexive, symmetric and transitive.
(c ) Neither reflexive nor symmetric nor transitive.
(d) Neither reflexive nor symmetric but transitive.
(e) Neither reflexive nor symmetric nor transitive.
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Knowledge Check

  • If the relation R on the set {1,2,3} be defined by R = {(1,2)}. Then , R is .........

    A
    Reflexive
    B
    Transitive
    C
    Symmetric
    D
    None of these

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