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KVPY Sample Paper KVPY Stream-SX Model Paper-2

  • 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 :

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


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