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CLAT Sample Paper CLAT Sample Paper-2

  • question_answer
    If \[x+y=5\] and \[xy=6,\] then the value of \[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}\] will be

    A)  \[\frac{13}{24}\]

    B)  \[\frac{11}{30}\]

    C)  \[\frac{13}{32}\]

    D)  \[\frac{13}{36}\]

    Correct Answer: D

    Solution :

    \[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}=\frac{{{x}^{2}}+{{y}^{2}}}{{{x}^{2}}{{y}^{2}}}=\frac{{{(x+y)}^{2}}-2xy}{{{(xy)}^{2}}}\] \[=\frac{{{(5)}^{2}}-2(6)}{{{(6)}^{2}}}=\frac{25-12}{36}=\frac{13}{36}\]


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