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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-17

  • question_answer
    If \[\frac{x}{y}+\frac{y}{x}=-2;\,\,\,x,y\ne 0\] then \[{{x}^{3}}+{{y}^{3}}+3xy(x+y)=?\]

    A) 0

    B)  \[1\]

    C)  \[-1\]                           

    D)  \[-2\]

    Correct Answer: A

    Solution :

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


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