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Verify whether the operation * defined o...

Verify whether the operation * defined on Q by a `a*b=ab//2` is associative or not.

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The correct Answer is:
assocative
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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

    • Similar Questions

    Explore conceptually related problems

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

    Show that the binary operation * defined on R by a ** b = (a + b)/2 is not associative by giving a counter example.

    Define binary operation on a set. Verify whether the operation * defined on Q set of rational number by a*b= ab+1 AA a,b in Q is commutative or assosiative.

    Define binary operation on a set. Verify whether the operation * is defined on Q set of rational number by a *b=ab+1, AA a,b in Q is binary or not.

    On Q define * by a ** b = (ab)/3 . Show that * is associative.

    The operation * defined a**b = a . Is * a binary operation on z.

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