CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    If a line makes angles\[\alpha ,\beta ,\gamma \]with the co-ordinate axes, then\[cos\text{ }2\alpha +cos\text{ }2\beta +cos\text{ }2\gamma \]is:

    A)  3                            

    B)         \[-2\]

    C)  2                            

    D)         \[-3\]

    E)  \[-1\]

    Correct Answer: E

    Solution :

    \[\cos 2\alpha +\cos 2\beta +\cos 2\gamma \]\[=2({{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma )-3\] \[=2-3=-1\]                         \[(\because {{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma =1)\]


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