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J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    If   one    root    of   the    equation \[{{x}^{2}}-(3\sqrt{2}-2i)\,x-6\,\sqrt{2}i=0\] is \[-2i,\] then the other root of the equation is

    A)  \[2i\]            

    B)  \[3\,\sqrt{2}\]

    C)  \[-3\,\sqrt{2}\]

    D)  \[5\,\sqrt{2}\]

    Correct Answer: B

    Solution :

    Given,  quadratic equation is \[{{x}^{2}}-(3\sqrt{2}-2i)x-6\sqrt{2}i=0\] Its one root is \[-2i\] Let it?s another root is \[\alpha \] Then, sum of the roots \[\alpha -2i=3\sqrt{2}-2i\] \[\therefore \] \[\alpha =3\sqrt{2}\]


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