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KVPY Sample Paper KVPY Stream-SX Model Paper-25

  • question_answer
    The minimum value of \[3{{\tan }^{2}}\theta +12{{\cot }^{2}}\theta \] is

    A) 6

    B) 15

    C) 24        

    D) none of these

    Correct Answer: D

    Solution :

    Using \[A.M.\ge G.M\] \[\Rightarrow \]\[\frac{1}{2}(3{{\tan }^{2}}\theta +12{{\cot }^{2}}\theta )\ge 6\] \[\Rightarrow \]\[3{{\tan }^{2}}\theta +12{{\cot }^{2}}\theta \]has minimum value 12.


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