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CLAT CLAT Solved Paper-2012

  • question_answer
    If \[x+\frac{1}{x}=3,\] then \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\] will be

    A)  9                                

    B)  10

    C)  27                              

    D)  7

    Correct Answer: D

    Solution :

    Ans.    \[x+\frac{1}{x}=3\] \[\Rightarrow \]            \[{{\left( x+\frac{1}{x} \right)}^{2}}={{(3)}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}+\frac{1}{{{x}^{2}}}+2x\cdot \frac{1}{x}=9\Rightarrow \,\,{{x}^{2}}+\frac{1}{{{x}^{2}}}+2=9\] \[\therefore \]    \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=7\]


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