Question

The area bounded by the lines $y-2x=2,y=4$ and the $y-axis$ is equal to (in square units)

• A. 1
• B. 4
• C. 0
• D. 3
• E. 2

Answer 1

Answer: (A)

Area bounded by the lines
$y-2x=2,y=4$
For $y-2x=2$

$\therefore A={\int }_2^4\frac{(y-2)}{2}dy=\frac{1}{2}\left\{{\left[\frac{y^2}{2}\right]}_2^4-2[y{]}_2^4\right\}=1$