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Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-3

  • question_answer
    If \[\frac{a}{b}+\frac{b}{a}=2,\] then the value of \[a-b\]is:

    A)  2                                

    B)  \[-1\]              

    C)         0                      

    D)         1

    Correct Answer: C

    Solution :

    \[\frac{a}{b}+\frac{b}{a}=2\] \[\Rightarrow \]            \[\frac{{{a}^{2}}+{{b}^{2}}}{ab}=2\] \[\Rightarrow \]            \[\frac{{{\left( a-b \right)}^{2}}+2ab}{ab}=2\]             \[{{\left( a-b \right)}^{2}}=2ab-2ab\]             \[{{\left( a-b \right)}^{2}}=0\]             \[a-b=0\]


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