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Railways RRB (Assistant Loco Pilot & Technician) Solved Paper-2 (2014)

  • question_answer
    If \[\alpha \] and \[\beta \] be the roots of \[a{{x}^{2}}-bx+b=0,\] then what is the value of \[\sqrt{\frac{\alpha }{\beta }}+\sqrt{\frac{\beta }{\alpha }}\]?

    A)  \[\sqrt{a/b}\]                          

    B)  \[\sqrt{b/a}\]

    C)  \[\sqrt{ab}\]                           

    D)  None of these

    Correct Answer: B

    Solution :

    Here, \[\alpha +\beta =\frac{b}{a},\alpha \beta =\frac{b}{a}\] So,  \[\sqrt{\frac{\alpha }{\beta }}+\sqrt{\frac{\beta }{\alpha }}=\frac{\alpha +\beta }{\sqrt{\alpha \beta }}=\frac{b/a}{\sqrt{b/a}}=\sqrt{\frac{b}{a}}\]


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