11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-1

  • question_answer 6) If w is a complex cube root of unity, then

    A) \[{{w}^{6}}=w\]                    

    B) \[{{w}^{14}}={{w}^{2}}\]      

    C) \[{{w}^{4}}=1\]                     

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[\therefore {{w}^{14}}={{w}^{4\times 3+2}}={{w}^{4\times 3}}.{{w}^{2}}\] \[=1.{{w}^{2}}={{w}^{2}}[\therefore {{w}^{n\times 3}}=1]\] Hence, option [b] is correct.

adversite



LIMITED OFFER HURRY UP! OFFER AVAILABLE ON ALL MATERIAL TILL TODAY ONLY!

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

Free
Videos