JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    The interval for which \[{{\sin }^{-1}}\sqrt{x}+{{\cos }^{-1}}\sqrt{x}=\frac{\pi }{2}\] holds [IIT Screening]

    A)                    \[[0,\ \infty )\]

    B)            \[[0,\ 3]\]

    C)            [0, 1]

    D)            [0, 2]

    Correct Answer: C

    Solution :

               \[{{\sin }^{-1}}\sqrt{x}+{{\cos }^{-1}}\sqrt{x}=\frac{\pi }{2}\]holds x lying in [0,1].


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