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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-10

  • question_answer
    If \[\frac{x}{y}+\frac{y}{x}=1,\]then the value of \[{{x}^{3}}+{{y}^{3}}\]is:

    A) 1                                 

    B) -1

    C) \[\frac{1}{2}\]                          

    D) 0

    Correct Answer: D

    Solution :

    \[\frac{x}{y}+\frac{y}{x}=1\] \[\Rightarrow \,\,\,\,\,\,{{x}^{2}}+{{y}^{2}}=xy\Rightarrow {{x}^{2}}-xy+{{y}^{2}}=0\] Now, \[{{x}^{3}}+{{y}^{3}}=\left( x+y \right)\left( {{x}^{2}}-xy+{{y}^{2}} \right)\] =         \[\left( x+y \right)\times 0=\mathbf{0}\]


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