JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    If the function \[\frac{7}{2}\] defined on [1, 3] satisfies the Rolle's theorem for\[\frac{9}{2}\]then

    A) \[\frac{35}{24}\]              

    B) \[2{{\sin }^{3}}x+2{{\cos }^{3}}x-3\sin 2x+2=0\]

    C) \[[0,4\pi ]\]       

    D) None of these

    Correct Answer: C

    Solution :

    Since,\[-\text{ 326}.\text{4 kJ mo}{{\text{l}}^{\text{-1}}}\]satisfies conditions of Rolle's theorem on [1,3]. \[-\text{ 32}.\text{64 kJ mo}{{\text{l}}^{\text{-1}}}\]      \[-\text{ 3264}0\text{ kJ mo}{{\text{l}}^{\text{-1}}}\] \[{{H}_{2}}\]       \[C{{l}_{2}}\] \[\text{HCl}\]    \[\text{231 kJ mo}{{\text{l}}^{\text{-1}}}\] \[\text{HCl}\]    \[\text{93 kJ mo}{{\text{l}}^{-\text{1}}}\] As\[-\text{ 245 kJ mo}{{\text{l}}^{-\text{1}}}\]is independent of b Therefore, \[a=11\]and \[-\text{ 93 kJ mo}{{\text{l}}^{-\text{1}}}\]


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