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

  • question_answer
    If the roots of the equation \[{{x}^{2}}+2mx+{{m}^{2}}-2m+6=0\] are same, then the value of m will be [MP PET 1986]

    A) 3

    B) 0

    C) 2

    D) -1

    Correct Answer: A

    Solution :

    Let roots are \[\alpha \] and\[\alpha \], then \[\alpha +\alpha =-2m\Rightarrow \,\,\,\alpha =-m\] and \[\alpha .\alpha ={{m}^{2}}-2m+6\]Þ \[{{m}^{2}}={{m}^{2}}-2m+6\] Þ \[m=3\].


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