Question

Area of the region bounded by the curve $y^2=4x$ , y-axis and the line y = 3 is.

• A. 2
• B. $\frac{9}{4}$
• C. $\frac{9}{3}$
• D. $\frac{9}{2}$

Answer 1

Answer: (B)

The curve $y^2=4x$ is the parabola MP is the line y = 3.The area of the region bounded by $y^2=4x$, and y = 3 is
$A={\int }_0^{3}xdy={\int }_0^3\frac{y^2}{4}dy={\left[\frac{y^3}{12}\right]}_0^3=\frac{27}{12}=\frac{9}{4}$