Question

Area of the region bounded by $y=|x|$ and $y=|x|+2$, is

• A. $4sq.units$
• B. $3sq.units$
• C. $2sq.units$
• D. $1sq.units$

Answer 1

Answer: (C)

$2sq.units$

The graph is shown in image

In $1^{st}$ quadrant , intersection point of $y=x$ and $y=-x+2$ is $(1,1)$

similarly in $2^{nd}$ quadrant , intersection point of $Y=X$ and $y=-x+2$ is $(-1,1)$

now $A=2[{\int }_0^1[-x+2]-{\int }_0^1[x]]$

$A=2\times 1$

$A=2sq.unit$