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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line

  • question_answer
    The length of the perpendicular from point (1, 2, 3) to the line \[\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}\]is [MP PET 1997]

    A)                                                               5

    B)                                                               6

    C)                                                               7

    D)                                                               8

    Correct Answer: C

    Solution :

                    Projection of [(1, 2, 3) ? (6, 7, 7)] along line \[=\frac{-15-10+8}{\sqrt{17}}=\frac{-17}{\sqrt{17}}\]                                                                       \[\therefore \] Distance \[=\sqrt{({{5}^{2}}+{{5}^{2}}+{{4}^{2}})-17}=\sqrt{49}=7\].


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