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

  • question_answer
    Product of real roots of the equation \[{{t}^{2}}{{x}^{2}}+|x|+\,9=0\] [AIEEE 2002]

    A) Is always positive

    B) Is always negative

    C) Does not exist

    D) None of these

    Correct Answer: C

    Solution :

    Note that for \[t\in R,\,{{t}^{2}}{{x}^{2}}+|x|+\,9\ge 9\] and hence the given equation cannot have real roots.


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