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KVPY Sample Paper KVPY Stream-SX Model Paper-16

  • question_answer
    If \[\sqrt{1-x}\,\,>\,\,\sqrt{1+x},\] then the complete solution set of x is -

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

    B) \[[-1,\,\,1]\]

    C) \[(0,\,\,1]\]

    D) \[[-1,\,\,0)\]

    Correct Answer: D

    Solution :

    \[\sqrt{x-x}>\sqrt{1+x}\]            \[(-1\le x\le 1)\]             \[1-x>1+x\]             \[x<0\] \[\therefore \,\,x\in [-\,1,\,\,0)\]


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