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

  • question_answer
    The least integer k which makes the roots of the equation \[{{x}^{2}}+5x+k=0\] imaginary is  [Kerala (Engg.) 2002]

    A) 4

    B) 5

    C) 6

    D) 7

    Correct Answer: D

    Solution :

    Roots are non-real if discriminant < 0 i.e. if \[{{5}^{2}}-4.1\,k<0\] i.e. if \[4k>25\]i.e. if \[k>\frac{25}{4}\] Hence, the required least integer k is 7.


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