Question

The area (in sq units) bounded by the curves $y=|x|-1$ and $y=-|x|+1$ is

• A. 1
• B. 2
• C. $2\sqrt2$
• D. 4

Answer 1

Answer: (B)

2

Answer 2

The correct answer is B:2
The curve equation;
$y=|x|-1$
and $y=-|x|+1$
$\therefore$ we can represent it in the form;
$y=-|x|+1$={ $^{-x+1,x≥0}_{x+1,x<0}$
From the above Plotted figure;
QA=QB=OC=OD=1 units
$\therefore$ $AB=CD=BC=AD=\sqrt{2}$units
Hence, area bounded by the region=(\sqrt{2})^2$$=2sq.units