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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.

Text Solution

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The correct Answer is:
* is a binary operation on Z.
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Define a binary operation on a set

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

Knowledge Check

  • Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is

    A
    * is associative and commutative
    B
    * is associative but not commutative
    C
    * is neither associative nor commutative
    D
    * is commutative but not associative

  • 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

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    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.

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

    On Q defined * by a ** b = ab + 1 show that * commutative.

    On Z defined * by a ** b = a -b show that * is a binary operation of Z.

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