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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    The Rolle's theorem is applicable in the interval \[\alpha =\frac{\gamma }{3}=\frac{6\times {{10}^{-5}}}{3}=2\times {{10}^{-5}}{{/}^{o}}c\] for the function

    A) \[I=4{{I}_{0}}{{\cos }^{2}}(\phi /2)\]                       

    B) \[\Rightarrow \]

    C) \[\phi =2\pi /3\]              

    D) \[\Delta x\times (2\pi /\lambda )=2\pi /3\]

    Correct Answer: B

    Solution :

    Let \[f(x)={{x}^{2}}\] \[\therefore \]                  \[f(1)=f(-1)=1\] Also, f(x) is continuous and differentiable in the given interval.


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