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J & K CET Engineering J and K - CET Engineering Solved Paper-2015

  • question_answer
    The range of the function  \[y(x)=4\,\sin \,x-3\,\cos x\]is

    A)  \[(-5,5)\]  

    B)  \[(-5,5]\]  

    C)  \[[-5,5)\]  

    D)  \[[-5,5]\]

    Correct Answer: D

    Solution :

    Given, \[y(X)=4sin\,\,\,X-3\,cos\,X\] Maximum value \[=\sqrt{{{(4)}^{2}}+{{(-3)}^{2}}}=\sqrt{25}=5\] Minimum value \[=-\sqrt{{{(4)}^{2}}+{{(-3)}^{2}}}=-\sqrt{25}=-5\] Therefore, range of the function, \[y(x)=[-5,5]\]


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