JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank System of Co-ordinates, Direction cosines and direction ratios, Projection

  • question_answer
    The shortest distance of the point (a, b, c) from the x-axis is                     [MP PET 1999; DCE 1999]

    A)            \[\sqrt{({{a}^{2}}+{{b}^{2}})}\]

    B)            \[\sqrt{({{b}^{2}}+{{c}^{2}})}\]

    C)            \[\sqrt{({{c}^{2}}+{{a}^{2}})}\]

    D)            \[\sqrt{({{a}^{2}}+{{b}^{2}}+{{c}^{2}})}\]

    Correct Answer: B

    Solution :

               Distance from x-axis = \[\sqrt{{{y}^{2}}+{{z}^{2}}}=\sqrt{({{b}^{2}}+{{c}^{2}})}\].


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