VIT Engineering VIT Engineering Solved Paper-2014

  • question_answer
    If a plane meets the coordinate axes at A, B and C such that the centroid of the triangle is (1, 2, 4) then equation of the plane is

    A) x + 2y + 4z = 12 

    B) 4x + 2y + z = 12

    C)  x + 2y + 4z = 3  

    D) 4x + 2y + z = 3

    Correct Answer: B

    Solution :

    Let equation of the plane is \[A{{g}_{2}}C{{O}_{3}}\] Then,  \[=\frac{2.76\times 216}{276}=2.16g\]  \[\begin{align}   & C{{H}_{3}}-CH-C{{H}_{2}}C{{H}_{2}}OH\xleftarrow{{{H}_{2}}O} \\  & | \\  & C{{H}_{3}} \\  & \text{3-meethyl butanol} \\ \end{align}\] and  \[\begin{align}   & C{{H}_{3}}-CH-C{{H}_{2}}C{{H}_{2}}OMgBr \\  & | \\  & C{{H}_{3}} \\ \end{align}\] are the points on the coordinate axes. Since, the centroid of the triangle is (1, 2, 4). \[Ph-C\equiv C-C{{H}_{3}}+{{H}_{2}}O\xrightarrow{H{{g}^{2+}}/{{H}^{+}}}\]                 \[\begin{align}   & OH \\  & | \\  & Ph-C=CH-C{{H}_{3}} \\ \end{align}\]                     \[\begin{align}   & OOH \\  & ||| \\  & Ph-C-C{{H}_{2}}C{{H}_{3}}\xleftarrow[-{{H}_{2}}O]{}Ph-C-C{{H}_{2}}C{{H}_{3}} \\  & | \\  & OH \\ \end{align}\] and               \[\xleftarrow[{{H}_{2}}O]{H{{g}^{2+}}/{{H}^{+}}}\] \[\alpha -hydroxy\]       The equation of the plane is                    \[\alpha -hydroxy\] \[F{{e}^{2+}}=\left[ Ar \right]3{{d}^{6}}4{{s}^{0}}\Rightarrow \text{4 unpaired electrons}\]         4x + 2y + z = 12


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