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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
    The points \[A(5,\,-1,\,\,1)\]; \[B\,(7,-4,\,7);\] \[C(1,\,-6,\,10)\] and \[D(-1,-3,\,4)\] are vertices of a [RPET 2000]

    A)            Square

    B)            Rhombus

    C)            Rectangle

    D)            None of these

    Correct Answer: B

    Solution :

               \[\because \] \[AB=BC=CD=DA=7\].  Also \[\overrightarrow{AB}\,.\,\overrightarrow{BC}\ne 0\]            \ ABCD is not square. It is rhombus.


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