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JEE Main & Advanced Sample Paper JEE Main Sample Paper-18

  • question_answer
    5The minimum value of\[{{8}^{\cos 3x}}.\,\,{{16}^{\sin 3x}}\]is

    A)  \[\frac{1}{32}\]                               

    B)  \[\frac{1}{64}\]

    C)  \[\frac{1}{4}\]                                  

    D)  \[1\]

    Correct Answer: A

    Solution :

     Let \[P={{2}^{3\,\cos 3x+4\sin 3x}}\] Minimum value of\[3\,\cos \,3x+4\,\sin 3x\] \[=-\sqrt{{{3}^{2}}+{{4}^{2}}}=-\,5\] \[\therefore \] minimum of \[P={{2}^{-5}}\]


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