JEE Math Practice Question
The area (in sq. units) of the region A = {(x, y) : (x – 1)[x] $$ \le $$ y $$ \le $$ 2$$\sqrt x $$, 0 $$ \le $$ x $$ \le $$ 2}, where [t] denotes the greatest integer function, is :
- A.$${8 \over 3}\sqrt 2 - 1$$
- B.$${4 \over 3}\sqrt 2 + 1$$
- C.$${8 \over 3}\sqrt 2 - {1 \over 2}$$
- D.$${4 \over 3}\sqrt 2 - {1 \over 2}$$
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