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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 a line makes angles of \[{{30}^{o}}\]and \[{{45}^{o}}\]with x-axis and        y-axis, then the angle made by it with \[z-\]axis is

    A)            \[{{45}^{o}}\]

    B)            \[{{60}^{o}}\]

    C)            \[{{120}^{o}}\]

    D)            None of these

    Correct Answer: D

    Solution :

               \[\cos \gamma =\sqrt{1-\frac{3}{4}-\frac{1}{2}}=\sqrt{\frac{-1}{4},}\] Which is not possible.


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