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10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    If the roots of the quadratic equation\[{{x}^{2}}-kx+{{k}^{2}}-3=0\] are real, then the range of the values of k is _________.

    A)  \[[-2,2]\]           

    B)  \[[-\infty ,-2]\cup [2,\infty ]\]

    C)  \[[-3,3]\]                       

    D)  \[[-\infty ,-3]\cup [3,\infty ]\]

    Correct Answer: A

    Solution :

    (a): Discriminant \[\ge 0\Rightarrow 4{{k}^{2}}-4{{k}^{2}}+12\ge 0\Rightarrow {{k}^{2}}-4\le 0\]          


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