Multiple Choice Questions on If P2 4Q2 4PQ then determine P Q ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If P2 4Q2 4PQ then determine P Q ........

Quant (SSC) Ratio, Proportion
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    If P2 + 4Q2 = 4PQ, then determine P : Q.

    1 : 3

    Incorrect Answer

    3 : 1

    Incorrect Answer

    2 : 1

    Correct Answer

    1 : 2

    Incorrect Answer
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    Explanation:

    P2 + 4Q2 = 4PQ
    ⇒ P2 + 4Q2 - 4PQ = 0
    ⇒ (P - 2Q)2 = 0
    ⇒ P - 2Q = 0
    ⇒ P = 2Q
    ∴ P/Q = 2/1
    ∴ P : Q = 2 : 1

    Hence, option 3 is the correct answer.

    By: Amit Kumar
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