KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    If \[y={{\sin }^{-1}}\,(x\sqrt{1-x}+\sqrt{x}\sqrt{1-{{x}^{2}}})\] & \[\frac{dy}{dx}=\frac{1}{2\sqrt{x\,(1-x)}}+p,\] then \[p=\]

    A) 0

    B) \[{{\sin }^{-1}}x\]

    C) \[{{\sin }^{-1}}\sqrt{x}\]

    D) none of these

    Correct Answer: D


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