2. Sample Papers
  3. 12th Class
  4. Mathematics

12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-3

  • question_answer
    If AB=A and BA=B, then B2 is equal to

    A) B                     

    B) A              

    C) 0                                 

    D) 1

    Correct Answer: A

    Solution :

    [a] \[\because AB=A\]        ..........(1)       \[\And ~BA=B\]        ..........(2) On putting the value of A from equation (1) in equation (2), we have \[B(AB)=B\Rightarrow (BA).B=B\Rightarrow B.B=B\Rightarrow {{B}^{2}}=B.\] Hence, option [a] is correct.


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