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KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    Let \[f\,(x)=\left| \begin{matrix}    2{{\cos }^{2}}x & \sin \,(2x) & -\sin x  \\    \sin 2x & 2{{\sin }^{2}}x & \cos x  \\    \sin x & -\cos x & 0  \\ \end{matrix} \right|\] then \[\int\limits_{0}^{\pi /2}{[f\,(x)+f'\,(x)]\,\,dx=}\]

    A)  \[\pi \]

    B) \[\pi /2\]

    C) \[2\pi \]

    D) zero

    Correct Answer: A

    Solution :

    Use \[{{c}_{2}}\to {{c}_{2}}+2\cos x\,\,{{c}_{3}}\]\[\Rightarrow \]\[f\,(x)=2\]\[\Rightarrow \]\[f'\,(x)=0\]


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