JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Domain of the function \[f(x)=\sqrt{2-2x-{{x}^{2}}}\] is            [BIT Ranchi 1992]           

    A)            \[-\sqrt{3}\le x\le \sqrt{3}\]

    B)            \[-1-\sqrt{3}\le x\le -1+\sqrt{3}\]

    C)            \[-2\le x\le 2\]

    D)            \[-2+\sqrt{3}\le x\le -2-\sqrt{3}\]

    Correct Answer: B

    Solution :

               The quantity under root is positive, when                    \[-1-\sqrt{3}\le x\le -1+\sqrt{3}.\]


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