VIT Engineering VIT Engineering Solved Paper-2015

  • question_answer
    The normal at the point \[\left( \text{at}_{\text{1}}^{\text{2}}\text{,2a}{{\text{t}}_{\text{1}}} \right)\] on the parabola meets the parabola again in the point \[\left( \text{at}_{2}^{\text{2}}\text{,2a}{{\text{t}}_{2}} \right),\]  then

    A) \[{{\text{t}}_{\text{2}}}\text{=-}{{\text{t}}_{\text{1}}}\text{+}\frac{\text{2}}{{{\text{t}}_{\text{1}}}}\]                                  

    B) \[{{\text{t}}_{\text{2}}}\text{=-}{{\text{t}}_{\text{1}}}-\frac{\text{2}}{{{\text{t}}_{\text{1}}}}\]

    C) \[{{\text{t}}_{\text{2}}}\text{=}{{\text{t}}_{\text{1}}}-\frac{\text{2}}{{{\text{t}}_{\text{1}}}}\]                 

    D) \[{{\text{t}}_{\text{2}}}\text{=}{{\text{t}}_{\text{1}}}+\frac{\text{2}}{{{\text{t}}_{\text{1}}}}\]

    Correct Answer: B

    Solution :

    Equation of the normal at point \[{{C}_{6}}{{H}_{6}}\] on parbola is               \[=\frac{10}{60}=\frac{1}{6}\] It also passes through \[=8\times \frac{1}{8}+6\times \frac{1}{2}=4\]then               \[=12\times \frac{1}{4}=3\] \[\text{C}{{\text{u}}_{\text{4}}}\text{A}{{\text{g}}_{\text{3}}}\text{Au}\text{.}\]        \[-nF{{E}^{\circ }}_{cell}=-RT\] \[{{E}^{\circ }}_{cell}=\frac{RT}{nF}\]      \[{{E}^{\circ }}_{cell}\] \[=\frac{1}{2}\frac{RT}{F}\]       \[\begin{align}   & N{{H}_{4}}Cl\xrightarrow{\Delta }N{{H}_{3}}+HCl \\  & ABC \\ \end{align}\] \[\begin{align}   & N{{H}_{3}}+HCl\to N{{H}_{4}}Cl \\  & \text{Bwhite fumes} \\ \end{align}\]       \[\begin{align}   & N{{H}_{3}}+2{{K}_{2}}\left[ Hg{{I}_{4}} \right]+3KOH\to  \\  & B\text{Nessler }\!\!'\!\!\text{ sreagent} \\ \end{align}\] \[\begin{align}   & {{H}_{2}}NHgO.HgI+7KI+{{H}_{2}}O \\  & \text{brown ppt}\text{.} \\  & \text{iodineofMillion }\!\!'\!\!\text{ sbase} \\ \end{align}\]        \[\begin{align}   & HCl+MN{{O}_{3}}\to MCl+HN{{O}_{3}} \\  & \text{Cwhite ppt}\text{.} \\ \end{align}\] \[\left( M=A{{g}^{+}},p{{b}^{+}},H{{g}^{+}} \right)\]         \[194u=\frac{28.9}{100}\times 194=56u\]


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