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

  • question_answer
    If \[\alpha ,\beta ,\gamma \] be the angles which a line makes with the              co-ordinate axes, then [MP PET 2002; Orissa JEE 2002]

    A)            \[{{\sin }^{2}}\alpha +{{\cos }^{2}}\beta +{{\sin }^{2}}\gamma =1\]

    B)            \[{{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma =1\]

    C)            \[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =1\]

    D)            \[{{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\sin }^{2}}\gamma =1\]

    Correct Answer: B

    Solution :

               It is obvious.


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