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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2002

  • question_answer
    If \[0<x<\frac{\pi }{2},\]then the largest angle of a  triangle  whose  sides  are  \[1,\,\sin x,\cos x\]is:

    A) \[\pi /3\]                             

    B)  \[\pi /2\]

    C)  \[\pi \]                                

    D)  \[\frac{\pi }{2}-x\]

    Correct Answer: B

    Solution :

    Let \[a=1,b=\sin x,c=\cos x\] \[{{b}^{2}}+{{c}^{2}}={{\sin }^{2}}x+{{\cos }^{2}}x=1\Rightarrow {{b}^{2}}+{{c}^{2}}={{a}^{2}}\] \[A=\pi /2.\]


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