11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-12

  • question_answer If\[{{z}^{2}}+z+1=0\], where z is a complex number, then the value of \[{{\left( z+\frac{1}{2} \right)}^{2}}+{{\left( {{z}^{2}}+\frac{1}{{{z}^{2}}} \right)}^{2}}\]\[+{{\left( {{z}^{3}}+\frac{1}{{{z}^{3}}} \right)}^{2}}+...+{{\left( {{z}^{6}}\frac{1}{{{z}^{6}}} \right)}^{{}}}\]is

    A)  18                   

    B)  12           

    C)  54                   

    D)  6

    Correct Answer: B


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