2. Sample Papers
  3. KVPY

KVPY Sample Paper KVPY Stream-SX Model Paper-7

  • question_answer
    The Plane passing through the point \[(4,\,-1,\,\,2)\] and parallel to the lines \[\frac{x+2}{3}=\frac{y-2}{-1}=\frac{z+1}{2}\] and  \[\frac{x-2}{1}=\frac{y-3}{2}=\frac{z-4}{3}\] also passes through the point:

    A) \[(1,\,1<-1)\]                 

    B)  (1, 1, 1)

    C) \[(-1,-1,-1)\]                   

    D) \[(-1,-1,1)\]

    Correct Answer: B

    Solution :

    \[\vec{n}={{\vec{n}}_{1}}\times {{\vec{n}}_{2}}=\left| \begin{matrix}    {\hat{i}} & {\hat{j}} & {\hat{k}}  \\    3 & -1 & 2  \\    1 & 2 & 3  \\ \end{matrix} \right|\]
    \[=7\hat{i}-7\hat{j}+7\hat{k}\]
    Equation of plane is
    \[-7(x-4)-7(y+1)+7(z-2)=0\]
    \[\Rightarrow \] \[-7x-7y+7z+7=0\]
    \[\Rightarrow \]   \[x+y-z=1.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner