JEE Main & Advanced Sample Paper JEE Main Sample Paper-17

  • question_answer
    Sum of the values of k for which planes \[kx+4y+z=0,\,4x+ky+2z=0\]and \[2x+2y+z=0\] intersect in a straight line is

    A)  2                                            

    B)  4

    C)  6                                            

    D)  8

    Correct Answer: C

    Solution :

     \[D=\left| \begin{matrix}    k & 4 & 1  \\    4 & k & 2  \\    2 & 2 & 1  \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[k(k-4)-4(0)+1(8-2k)=0\] \[\Rightarrow \]\[{{k}^{2}}-6k+8=0\]


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