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Define binary operation on a set. Verify...

Define binary operation on a set. Verify whether the operation * defined on Z by a* b=ab+1 is binary or not

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Knowledge Check

  • For any two real numbers, an operation ** defined by a**b=1+ab is

    A
    neither commutative nor associative
    B
    commutative but not associative
    C
    both commutative and associative
    D
    associative but not commutative.

  • For any two real numbers, an operation * defined by a *b = 1 + ab is

    A
    Neither commutative nor associative
    B
    Commutative but not associative
    C
    both commutative and associative
    D
    Associative but not commutative

  • Number of binary opertions on the set {a,b} are

    A
    10
    B
    16
    C
    20
    D
    8

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