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Railways Sample Paper RRB (Group D) 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 :

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


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