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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    If a line makes the angles\[\alpha ,\beta ,\gamma \]and\[\delta \]respectively with all the four diagonals of a cube, then\[co{{s}^{2}}\alpha +co{{s}^{2}}\beta +co{{s}^{2}}\gamma +co{{s}^{2}}\delta \]is equal to

    A)  3                

    B)  4

    C)  4/3              

    D)  3/4

    Correct Answer: C

    Solution :

     If a line makes angles\[\alpha ,\beta ,\gamma \]and\[\delta \]respectively with all the four diagonals of a cube, then \[co{{s}^{2}}\alpha +co{{s}^{2}}\beta +co{{s}^{2}}\gamma +co{{s}^{2}}\delta =\frac{4}{3}\] (always)


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