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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
    Which of the following set of points are non- collinear                          [MP PET 1990]

    A)            (1, ?1, 1), (?1, 1, 1), (0, 0, 1)

    B)            (1, 2, 3), (3, 2, 1), (2, 2, 2)

    C)            (?2,4, ?3), (4, ?3, ?2), (?3, ?2, 4)

    D)            (2, 0, ?1), (3, 2, ?2), (5, 6, ?4)

    Correct Answer: C

    Solution :

               Check option, \[\frac{4-(-2)}{-3-4}\ne \frac{-3-4}{-2-(-3)}\]            Therefore, this set of points is non-collinear.


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