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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 the co-ordinates of the points \[P,\,Q,R,\,S\] be (1, 2, 3),        (4, 5, 7), (? 4, 3, ? 6) and (2, 0, 2) respectively, then 

    A)            \[PQ||RS\]

    B)            \[PQ\,\bot \,RS\]

    C)            \[PQ=RS\]

    D)            None of these

    Correct Answer: D

    Solution :

               Find angle between the lines PQ and RS, we get that neither \[PQ\,\,||\,\,RS\] nor \[PQ\,\,\bot \,\,RS.\] Also \[PQ\ne RS.\]


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