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

  • question_answer
    Roots of the equation \[{{x}^{2}}+bx-c=0(b,c>0)\]are

    A) Both positive

    B) Both negative

    C) Of opposite sign

    D) None of these

    Correct Answer: C

    Solution :

    Since\[b,c>0\]. Therefore \[\alpha +\beta =-b<0\] and \[\alpha \beta =-c<0\] Since product of the roots is - ve therefore roots must be of opposite sign.


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