JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2014

  • question_answer
    If \[{{Q}_{1}}{{R}_{2}}={{Q}_{2}}{{R}_{1}}\]and f(0) = 0, then the value of a for which Rolle's theorem can be applied in [0,1], is

    A) -2                           

    B) -1          

    C) 0                             

    D) \[s=\frac{{{t}^{2}}}{4}\]

    Correct Answer: D

    Solution :

                    Given, \[\mu \] To satisfy Rolle's theorem, it should be continuous in [0,1] i.e.,             \[W\] \[\frac{4W}{3}\]               \[\frac{5W}{2}\] \[\frac{\pi }{2}\]               \[\sigma =\text{5}.\text{67}\times \text{1}{{0}^{-\text{8}}}\text{W}-{{\text{m}}^{\text{2}}}{{\text{K}}^{\text{-4}}}\] (using L? Hospital?s rule) \[y=5\sin \frac{\pi x}{3}\cos 40\pi t\]      \[t\] \[{{(Kg)}^{1/2}}\]             \[{{(Kg)}^{-1/2}}\]which shows a > 0, otherwise it would be discontinuous. When \[{{(Kg)}^{2}}\]is differentiable in (0, 1) and \[{{(Kg)}^{-2}}\]. Hence, \[\frac{pV}{nT}\] is the possible answer.


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