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Let the relation R be defined in N by aR...

Let the relation R be defined in N by aRb , if 2a + 3b = 30 . Then , R = .............

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The correct Answer is:
`{(a,b) in N xx N//(3,8),(6,6),(9,4),(12,2)}`
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Knowledge Check

  • Consider the non-empty set consisting of children in a family and a relation R defined as aRb, if a is brother of b. Then , R is ........

    A
    Symmetric but not transitive
    B
    Transitive but not symmetric
    C
    Neither symmetric not transitive
    D
    Both symmetric and transitive

  • Let us define a relation R in R as aRb if a geb . Then, R is .......

    A
    an equivalence relation
    B
    reflexive , Transitive but not symmetric
    C
    symmetric , transitive but not reflexive
    D
    neither transitive nor reflexive but symmetric .

  • 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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