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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Solution of quadratic inequations and Miscellaneous equations

  • question_answer
    If the sum of two of the roots of \[{{x}^{3}}+p{{x}^{2}}+qx+r=0\] is zero, then pq = [EAMCET 2003]

    A) - r

    B) r

    C) 2 r

    D) - 2 r

    Correct Answer: B

    Solution :

    Given that, \[\alpha +\beta =0\] \[\alpha +\beta +\gamma =-p\Rightarrow \gamma =-p\] Substituting \[\gamma =-p\]in the given equation Þ \[-{{p}^{3}}+{{p}^{3}}-pq+r=0\Rightarrow pq=r\].


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