Question

The area bounded by curves $y=\left|x\right|-1$ and $y=-\left|x\right|+1$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B 2

First we form a table for different values of $x$ and $y$ for both equations as shown .

Here length of $AC=2$ units and distance(height) between vertices $D$ and line $AC=1$units and between vertices $B$ and line $AC=1$unit

$\because$Area of triangle$=\frac{1}{2}\times b\times h$

$\therefore$Area of $ABCD=2\times Areaof△ABC$

$=2\times \frac{1}{2}\times 2\times 1=2$sq.units.