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

  • question_answer
    Distance of the point (1, 2, 3) from the co-ordinate axes are

    A)            13, 10, 5

    B)            \[\sqrt{13},\sqrt{10},\sqrt{5}\]

    C)            \[\sqrt{5},\sqrt{13},\sqrt{10}\]

    D)            \[\frac{1}{\sqrt{13}},\frac{1}{\sqrt{10}},\frac{1}{\sqrt{5}}\]

    Correct Answer: B

    Solution :

               From x-axis\[=\sqrt{{{y}^{2}}+{{z}^{2}}}=\sqrt{4+9}=\sqrt{13}\]            From y-axis \[=\sqrt{1+9}=\sqrt{10}\]                    From z-axis \[=\sqrt{1+4}=\sqrt{5}\].


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