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J & K CET Engineering J and K - CET Engineering Solved Paper-2012

  • question_answer
    If the line \[\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}\]lies in the plane \[2x-4y+z=5,\] then k is equal to

    A)  \[0\]               

    B)  \[1\]

    C)  \[7\]               

    D)  \[5\]

    Correct Answer: D

    Solution :

    Since, the line lies in the plane, Therefore, the point \[(4,\,\,\,2,\,\,\,k)\] satisfies the plane \[2x-4y+z=5.\] \[\therefore \] \[2(4)-4(2)+k=5\] \[\Rightarrow \] \[k=5\]


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