11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-10

  • question_answer
    If \[\alpha \text{,}\beta \] be two complex numbers, then \[{{\left| \alpha  \right|}^{2}}+{{\left| \beta  \right|}^{2}}\]is equal to

    A)  \[\frac{1}{2}({{\left| \alpha +\beta  \right|}^{2}}-{{\left| \alpha -\beta  \right|}^{2}})\]

    B)         \[\frac{1}{2}({{\left| \alpha +\beta  \right|}^{2}}+{{\left| \alpha -\beta  \right|}^{2}})\]

    C)  \[{{\left| \alpha +\beta  \right|}^{2}}+{{\left| \alpha -\beta  \right|}^{2}}\]

    D)  None of these

    Correct Answer: B


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