JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Function \[{{\sin }^{-1}}\sqrt{x}\] is defined in the interval

    A)                    (?1, 1)

    B)            [0, 1]

    C)            [?1, 0]

    D)            (?1, 2)

    Correct Answer: B

    Solution :

               Let \[y={{\sin }^{-1}}\sqrt{x}\,\,\Rightarrow \,\,\sqrt{x}=\sin y\]                    \[\Rightarrow \,\,x={{\sin }^{2}}y,\,\,\,\,\therefore \,\,0\le x\le 1\]


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