11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-4

  • question_answer If one root of a quadratic equation is \[\frac{-1+\sqrt{3}}{2}\] then the sum of the roots is:

    A) \[-i\]                

    B) \[i\]             

    C) \[\sqrt{3}\]                                

    D) \[\frac{\sqrt{3}}{2}\]

    Correct Answer: A

    Solution :

    [a] One root of quadratic equation be \[\frac{-1+\sqrt{3}}{2}\] Other root of quadratic equation be \[\frac{-1-\sqrt{3}}{2}\] Sum\[=\frac{-1}{2}-\frac{1}{2}=-1\] Hence, option [a]is correct.

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