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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank System of Co-ordinates, Direction cosines and direction ratios, Projection

  • question_answer
    If \[A\,(1\,,\,\,2,\,\,-1)\] and \[B(-1,\,\,0,\,\,1)\] are given, then the              co-ordinates of P which divides \[AB\] externally in the ratio\[1:2\], are [MP PET 1989]

    A)            \[\frac{1}{3}(1,\,4,-1)\]

    B)            (3, 4, ?3)

    C)            \[\frac{1}{3}(3,\,4,-3)\]

    D)            None of these

    Correct Answer: B

    Solution :

               \[\left[ \frac{2+1}{1},\,\,\frac{4-0}{1},\,\frac{-2-1}{1} \right]=(3,\,\,4,\,\,-3)\].


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