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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2004

  • question_answer
    The maximum of the function \[3\cos x-4\sin x\] is :

    A)  2                                            

    B)  3

    C)  4                                            

    D)  5

    Correct Answer: D

    Solution :

    We have, \[3\cos \,x-4\sin x\] \[\therefore \] Maximum value is \[\sqrt{{{a}^{2}}+{{b}^{2}}}\] where \[a=3\] and \[b=4\] \[\therefore \] Maximum value \[=\sqrt{{{3}^{2}}+{{4}^{2}}}\]                                 \[=\sqrt{9+16}=\sqrt{25}\]                                 = 5


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