SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-15

  • question_answer
    The value of the expression \[\left( \frac{2}{1+{{a}^{x-y}}}+\frac{2}{1+{{a}^{y-x}}} \right)\] is

    A) \[\frac{2x}{y}\]                         

    B) \[6\]

    C) \[2\]    

    D) \[4\]

    Correct Answer: C

    Solution :

    \[\left( \frac{2}{1+{{a}^{x-y}}}+\frac{2}{1+{{a}^{y-x}}} \right)\] \[=\,\,\,2\left[ \frac{{{a}^{y}}}{{{a}^{y}}+{{a}^{x}}}+\frac{{{a}^{x}}}{{{a}^{x}}+{{a}^{y}}} \right]\] \[=\,\,\,2\left[ \frac{{{a}^{x}}+{{a}^{y}}}{{{a}^{x}}+{{a}^{y}}} \right]=\]                      


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