MCQ
Given : $f(x)=\left\{\begin{array}{ccc}{x} & {,} & {0 \leq x < \frac{1}{2}} \\ {\frac{1}{2}} & {,} & {x=\frac{1}{2}} \\ {1-x} & {,} & {\frac{1}{2} < x \leq 1}\end{array}\right.$
and $g(x)=\left(x-\frac{1}{2}\right)^{2}, x \in R .$ Then the area (in sq. units) of the region bounded by the curves, $y=f(x)$ and $y=g(x)$ between the lines, $2 \mathrm{x}=1$ and $2 \mathrm{x}=\sqrt{3},$ is
- A$\frac{1}{3}+\frac{\sqrt{3}}{4}$
- ✓$\frac{\sqrt{3}}{4}-\frac{1}{3}$
- C$\frac{1}{2}+\frac{\sqrt{3}}{4}$
- D$\frac{1}{2}-\frac{\sqrt{3}}{4}$
