Subject

    Bank Exam

    Topic

    Premier Bank Ltd. (Trainee Junior Officer) 2013

    If a2+b2=45 and ab=18, find 1/a+1/b

    ক)
    1/3
    খ)
    2/3
    গ)
    1/2
    ঘ)
    Cannot be determined

    Explanation

    a2+b2 + 2ab = (a+b)2 or, 45 + 18*2 = (a+b)2 or, 81 = (a+b)2 or (a+b) = +- 9 Now, 1/a + 1/b = (a+b) /ab = +- 9 / 18 = +- 1/2

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