JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-2
question_answer
\[f(x)=\left\{ \begin{matrix} \{x\}, & [x]\,\text{is}\,\text{odd} \\ 1-\{x\}, & [x]\,\text{is}\,\text{even} \\ \end{matrix} \right.\] [.] denotes greatest integer function and {.} denotes fractional part function, then area bounded by \[y=f(x),\,x\in [0,\,5]\] and \[x\]-axis is
A) 2
B) 3
C) 5/2
D) 5
Correct Answer:
C
Solution :
Area \[=5\times \frac{1}{2}\times 1\times 1=\frac{5}{2}\] square units