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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line and Plane

  • question_answer
    The equation of the plane through the origin containing the line \[\frac{x-1}{5}=\frac{y-2}{4}=\frac{z-3}{5}\] is

    A)            \[2x+5y-6z=0\]

    B)            \[x+5y-5z=0\]

    C)            \[x-5y+3z=0\]

    D)            \[x+y-z=0\]

    Correct Answer: C

    Solution :

               Trick: A general point \[(5r+1,\,\,4r+2,\,\,5r+3)\] on the line should satisfy the required plane, which is satisfied by \[x-5y+3z=0.\]


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