Question

Area bounded by parabola $y^2=x$ and straight line 2y = x is

• A. $\frac{4}{3}$
• B. $1$
• C. $\frac{2}{3}$
• D. $\frac{1}{3}$

Answer 1

The correct option is A $\frac{4}{3}$

$y^2=xand2y=x\Rightarrow y^2=2y\Rightarrow y=0,2$
$\therefore Requiredarea={\int }_0^2(y^2-2y)dy={(\frac{y^3}{3}-y^2)}_0^2=\frac{4}{3}sq.unit$