2. Solved Papers
  3. CET Karnataka Engineering

CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2003

  • question_answer
    In three element group \[\{e,a,b\}\] where e is the identity a b is equal to :

    A)  a                                            

    B)  e

    C)  ab                                         

    D)  b

    Correct Answer: A

    Solution :

    Here first we prepare a table Now we have
    x e a b
    e e a B
    a a b E
    b b e a
                    \[{{a}^{5}}{{b}^{4}}=[{{a}^{3}}.\,\,{{a}^{2}}]\,[{{b}^{3}}\,.\,\,b]\]                 \[=\,(e\,.\,\,{{a}^{2}})\,(e.\,b)={{a}^{2}}b\]                 \[=b\,.\,b={{b}^{2}}=a\]


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