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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Relation between roots and coefficients

  • question_answer
    If one root of the quadratic equation, \[i{{x}^{2}}-2(i+1)x+(2-i)=0\]is \[2-i\], then the other root is

    A) - i

    B) i

    C) \[2+i\]

    D) \[2-i\]

    Correct Answer: A

    Solution :

    Let \[\alpha \] be the other root, then product of the roots\[\alpha .(2-i)=\frac{(2-i)}{i}\,\,\,\Rightarrow \alpha =-i\].


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