Question

Area of the region satisfying $x\le 2,y\le |x|,x-axis$ and $x\ge 0$ is:

• A. $4$ sq unit
• B. $1$ sq unit
• C. $2$ sq unit
• D. None of these

Answer 1

Answer: (C)

$2$ sq unit

Required area = Area of shaded region OAB
${=}_o^{2}ydx{=}_0^{2}xdx={\frac{x^2}{2}}_0^2$
$=$2 sq unit
Alternate Solution
Required area = Area of $\Delta$ OAB
$=\frac{1}{2}\times 2\times 2$
$=$ 2 sq unit