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Let N denote the set of all natural numb...

Let `N` denote the set of all natural numbers and R be the relation on `NxN` defined by `(a , b)R(c , d) a d(b+c)=b c(a+d)dot` Check whether R is an equivalence relation on `NxNdot`

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Knowledge Check

  • Let S be the set of all real numbers and Let R be a relations on s defined by a R B hArr |a|le b. then ,R is

    A
    Reflexive and symmetric but transitive
    B
    symmetric and transitive but not reflexive
    C
    Reflexive and transitive but not symmetric
    D
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  • Let S be set of all real numbers and let R be relation on S , defined by a R b hArr |a-b|le 1. then R is

    A
    Reflexive and symmetric but transitive
    B
    Reflexive and transitive but not symmetric
    C
    symmetric and transitive but not reflexive
    D
    An equivalence relation
  • Let S be set of all numbers and let R be a relation on S defined by a R b hArr a^(2)+b^(2)=1 then, R is

    A
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    B
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    C
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    D
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