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JEE Main & Advanced Mathematics Functions Question Bank Critical Thinking

  • question_answer
    The domain of definition of the function \[y(x)\] given by \[{{2}^{x}}+{{2}^{y}}=2\] is  [IIT Screening 2000; DCE 2001]

    A) (0, 1]

    B) [0, 1]

    C) \[(-\infty ,\ 0]\]

    D) \[(-\infty ,\ 1)\]

    Correct Answer: D

    Solution :

    • \[{{2}^{y}}=2-{{2}^{x}}\]; y is real, if \[2-{{2}^{x}}>0\] Þ \[2>{{2}^{x}}\]           
    • Þ \[1>x\]Þ  \[x\in (-\infty ,\,\,1)\]


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