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

  • question_answer
    The equation of the plane passing through the origin and perpendicular to the line \[x=2y=3z\]is

    A)            \[6x+3y+2z=0\]

    B)            \[x+2y+3z=0\]

    C)            \[3x+2y+z=0\]

    D)            None of these

    Correct Answer: A

    Solution :

               Obviously the line is \[\frac{x}{6}=\frac{y}{3}=\frac{z}{2}.\] So required plane is \[6\,(x-0)+3\,(y-0)+2\,(z-0)=0\].


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