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

  • question_answer
    A line which makes angle \[{{60}^{o}}\]with y-axis and z-axis, then the angle which it makes with x-axis is [RPET 2002; AMU 2005]

    A)            \[45{}^\circ \]

    B)            \[60{}^\circ \]

    C)            \[75{}^\circ \]

    D)            \[30{}^\circ \]

    Correct Answer: A

    Solution :

               \[{{\cos }^{2}}\alpha =1-{{\cos }^{2}}{{60}^{o}}-{{\cos }^{2}}{{60}^{o}}\]                      \[=1-\frac{1}{4}-\frac{1}{4}=\frac{1}{2}\] Þ \[\alpha ={{45}^{o}}.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner