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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Self Evaluation Test - Introduction to Three Dimensional Geometry

  • question_answer
    The ordered pair \[(\lambda ,\,\,\mu )\] such that the points \[(\lambda ,\mu ,-6),\] (3, 2, -4) and (9, 8, -10) become collinear is

    A) (3, 4)

    B) (5, 4)

    C) (4, 5)

    D) (4, 3)

    Correct Answer: B

    Solution :

    [b] If the given points \[(\lambda ,\,\,\mu ,\,\,-6),\,\,(3,\,\,2,\,\,-4)\] and (9, 8, -10) are collinear then \[\frac{\lambda -3}{9-3}=\frac{\mu -2}{8-2}=\frac{-6+4}{-10+4}\Rightarrow \lambda =5,\,\,\,\mu =4\]


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