Multiple Choice Questions on If x1 and x2 are positive quantities then the condition for the difference between the ari........... for NDA Exam Preparation

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Multiple Choice Questions

If x1 and x2 are positive quantities then the condition for the difference between the ari...........

Mathematics (NDA) Arithmetic progression
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    If x1 and x2 are positive quantities, then the condition for the difference between the arithmetic mean and the geometric mean to be greater than 1 is -

    x1 + x2 > 2√x1x2

    Incorrect Answer

    √x1 + √x2  > √2

    Incorrect Answer

    |√x1 − √x2 | > √2

    Correct Answer

     x1 + x2 < 2(√x1x2 + 1)

    Incorrect Answer
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    Explanation:

    x1+x2 / 2 - √x1x2 > 1

    Or x1+ x2 / 2 > √x1x2 + 1

    Or x1 + x2 > 2 √x1x2 + 2

    Or x1+ x2 – 2 √x1x2 > 2

    Or (√x1 - √x2 ) 2 > 2

    Or |√x1 - √x2 | > √2

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