Multiple Choice Questions on If the roots of the quadratic equation x2 ndash 4x ndash log10N 0 are all real then the minimum valu........... for CDS Exam Preparation

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Multiple Choice Questions

If the roots of the quadratic equation x2 ndash 4x ndash log10N 0 are all real then the minimum valu...........

Quantitative Aptitude (CDS) Quadratic Equations
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    If the roots of the quadratic equation x2 – 4x – log10N = 0 are all real, then the minimum value of N is

    1/100

    Incorrect Answer

    1/1000

    Incorrect Answer

    1/10000

    Correct Answer

    1000

    Incorrect Answer
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    Explanation:

    The roots of the equation x2−4x−log10N=0 are real if D≥0
    ⇒16+4log10N≥0       (D=b2−4ac)
    ⇒4log10N≥−16
    ⇒log10N≥−4
    ⇒N≥10−4=1/10000
    Thus, the minimum value of N is1/10000

    By: Munesh Kumari
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