Subject

    Bank Exam

    Topic

    SBAC Bank Ltd. MTO 2014

    If (x+2y)=a and (x-2y)=b, which of the following expression is equal to xy?

    ক)
    ab
    খ)
    (a+b)/2
    গ)
    (a2-b2)/8
    ঘ)
    (a2-b2)/4

    Explanation

    x+2y = a x-2y = b Adding above two eauations, x = a+b/2 Subtracting above two equations, y = a-b/4 so, xy = (a+b)/2 + (a-b)/4 = (a+b) (a-b)/8 = (a2 - b2)/8

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