Question

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

• A. 2 sq. units
• B. 9/2 sq. units
• C. 3 sq. units
• D. 9/2 sq. units

Answer 1

The correct option is B

9/2 sq. units

$area={\int }_0^{3}xdy={\int }_0^3\frac{y^2}{4}dy=\frac{1}{4}\frac{y^3}{3}{]}_4^3=\frac{9}{4}sq.mts$