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)

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