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

  • question_answer
    The co-ordinates of the point where the line through \[P(3,\,4,\,1)\]  and \[Q(5,1,6)\] crosses the xy-plane are [MP PET 1997]

    A)            \[\frac{3}{5},\frac{13}{5},\frac{23}{5}\]

    B)            \[\frac{13}{5},\frac{23}{5},\frac{3}{5}\]

    C)            \[\frac{13}{5},\frac{23}{5},0\]

    D)            \[\frac{13}{5},0,\,0\]

    Correct Answer: C

    Solution :

               Trick: From option c, the point lies on xy-plane and divides the join of P and Q in ? 1 : 6 i.e., 1 : 6 externally.


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