2. Solved Papers
  3. CET Karnataka Engineering

CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2000

  • question_answer
    The identity element for the binary operation     *     defined     by \[a*b=\frac{ab}{2},a,b\in {{Q}_{0}}\]  (the set of all non-zero rational number) is:

    A)  1                                            

    B)  zero

    C)  2                                            

    D)  none of these

    Correct Answer: C

    Solution :

    Let e be the identity elements for the binary operations*on \[{{Q}_{0}}\]defined by \[a*b=\frac{ab}{2}\]then \[a*e=a=e*a\] for all \[a\in {{Q}_{0}}\Rightarrow \frac{ae}{2}=a\]for all \[a\in {{Q}_{0}}\] \[\Rightarrow \]               \[e=2\]


You need to login to perform this action.
You will be redirected in 3 sec spinner