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

  • question_answer
    The equation of the plane which bisects the line joining      (2, 3, 4) and (6, 7, 8) is [CET 1991, 93]

    A)            \[x+y+z-15=0\]

    B)            \[x-y+z-15=0\]

    C)            \[x-y-z-15=0\]

    D)            \[x+y+z+15=0\]

    Correct Answer: A

    Solution :

               Mid-point of (2,3,4) and (6, 7, 8) is (4, 5, 6). This lies on \[x+y+z-15=0.\]Hence this is the required plane.


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