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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 \[A(1,\,2,\,3),\,B(-1,-1,-1)\] be the points, then the distance AB is [MP PET 2001; Pb. CET 2001]

    A)            \[\sqrt{5}\]

    B)            \[\sqrt{21}\]

    C)            \[\sqrt{29}\]

    D)            None of these

    Correct Answer: C

    Solution :

               \[AB=\sqrt{{{(-1-1)}^{2}}+{{(-1-2)}^{2}}+{{(-1-3)}^{2}}}\]            \[AB=\sqrt{4+9+16}=\sqrt{29}\].


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