Multiple Choice Questions on If is given that the roots of the equation x2 minus 4x minus log3 P 0 are real For this the min........... for NDA Exam Preparation

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Multiple Choice Questions

If is given that the roots of the equation x2 minus 4x minus log3 P 0 are real For this the min...........

Mathematics (NDA) Quadratic Equations
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    If is given that the roots of the equation x2− 4x − log3 P = 0 are real. For this, the minimum value of P is -

    1/27

    Incorrect Answer

    1/64

    Incorrect Answer

    1/81 

    Correct Answer

    1

    Incorrect Answer
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    Explanation:

    x – 4 x – log3P = 0
    It is given that roots are real.
    ∴ −b±√b2−4ac / 2a ≥ 0
    Or 16 + 4 log3P ≥ 0
    Or log3P ≥  - 4
    Or P ≥ 3-4  or P≥ 1/81

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