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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[f(x)=2\sin x\], \[g(x)={{\cos }^{2}}x\], then \[(f+g)\left( \frac{\pi }{3} \right)=\]

    A)            1

    B)            \[\frac{2\sqrt{3}+1}{4}\]

    C)            \[\sqrt{3}+\frac{1}{4}\]

    D)            None of these

    Correct Answer: C

    Solution :

               \[(f+g)\frac{\pi }{3}=\frac{2\sqrt{3}}{2}+\frac{1}{4}=\sqrt{3}+\frac{1}{4}\].


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