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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Critical Thinking

  • question_answer
    If \[4x+4y-kz=0\] is the equation of the plane through the origin that contains the line \[\frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{4},\]then k = [MP PET 1992]

    A) 1

    B) 3

    C) 5

    D) 7

    Correct Answer: C

    Solution :

    Obviously, \[4\,(2)+4\,(3)-k\,(4)=0\,\,\Rightarrow \,\,k=5\].


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