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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
Let f(x)=[x]\mathrm{f}(\mathrm{x})=[x], where [x][x] denotes the greatest integer less than or equal to xx. If a=20112+2012a=\sqrt{2011^{2}+2012}, then the value of f(a)\mathrm{f}(\mathrm{a}) is equal to
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Correct option: B
2011
Option B (2011) is correct because the greatest integer less than or equal to a=20112+2012a = \sqrt{2011^2 + 2012} is 2011.

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