Multiple Choice Questions on If ax by ndash 2 and axby 1 where a ne 0 b ne 0 then what is a2x b2y equal to ........ for CDS Exam Preparation

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Multiple Choice Questions

If ax by ndash 2 and axby 1 where a ne 0 b ne 0 then what is a2x b2y equal to ........

Quantitative Aptitude (CDS) Quadratic Equations
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    If ax + by – 2 and axby = 1, where a ≠ 0, b≠0, then what is (a2x + b2y) equal to?

    a + b

    Correct Answer

    2ab

    Incorrect Answer

    a3+b3

    Incorrect Answer

    a4+b4

    Incorrect Answer
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    Explanation:

    Given ax + by − 2 = 0
    ax + by = 2
    By squaring both sides

    a2x2+b2y2+2axby=4

    Given (axby=1)
    ⇒ a2x2+b2y2+2=4
    ⇒ a2x2+b2y2=4-2

    a2x2+b2y2=2
    ax = 1 and by = 1
    x = (1/a) and y = (1/b)

    a2x+b2y= a + b

    By: Munesh Kumari
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