Functions Question 439

Question: Let $ f(x)=[x], $ where $ [x] $ denotes the greatest integer less than or equal to x. if $ a=\sqrt{2011^{2}+2012} $ , then the value of fis equal to

Options:

A) 2010

B) 2011

C) 2012

D) 2013

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ a=\sqrt{2011^{2}+2012}=2011.5; $ $ f(a)=[2011.5]=2011 $