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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 points (?1, 3, 2), (?4, 2, ?2) and \[(5,\,\,5,\,\,\lambda )\] are collinear, then \[\lambda \]=

    A)            ? 10

    B)            5

    C)            ? 5

    D)            10

    Correct Answer: D

    Solution :

               \[\frac{-4+1}{5+4}=\frac{2-3}{5-2}=\frac{-2-2}{\lambda +2}\]           or  \[\lambda +2=12\] or \[\lambda =10\].


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