JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    The    domain    of    definition    of \[{{x}^{3}}-\left( \frac{9}{2}+\sqrt{5} \right){{x}^{2}}+\left( \frac{9\sqrt{5}}{2}+5 \right)x-5\sqrt{5}=0\], where \[{{x}^{3}}+\left( \frac{9}{2}+\sqrt{5} \right){{x}^{2}}-\left( \frac{9\sqrt{5}}{2}+5 \right)x-5\sqrt{5}=0\] denotes the greatest integer function, is

    A) \[{{x}^{3}}+\left( \frac{9}{2}-\sqrt{5} \right){{x}^{2}}+\left( \frac{9\sqrt{5}}{2}-5 \right)x+5\sqrt{5}=0\]                 

    B) \[f\]

    C) \[f(x)\]

    D) \[f(1)=f(-1)\]

    Correct Answer: C

    Solution :

    \[5km/h\]is defined, if \[\frac{30}{4}km/h\] \[{{m}_{1}}\times {{m}_{2}}\]    \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}\] \[\sqrt{\frac{{{m}_{2}}}{{{m}_{1}}}}\]     \[\frac{{{m}_{2}}}{{{m}_{1}}}\] \[\frac{{{m}_{1}}}{{{m}_{2}}}\]  \[I\] \[5V\]   \[{{l}_{AC}}=\sqrt{2}{{l}_{EF}}\]and \[{{l}_{AC}}={{l}_{EF}}\] \[\sqrt{2}{{l}_{AC}}={{l}_{EF}}\] \[{{l}_{AD}}=4{{l}_{EF}}\]and \[O=\overline{X+Y}\] \[O=\overline{XY}\]        \[O=\overline{X}.\overline{Y}\]


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