Question

Area of the region bounded by the curve y2=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)

$\frac{9}{4}$

Answer 2

The correct option is(B): $\frac{9}{4}$

The area bounded by the curve,y2=4x, y-axis and the line y=3 is represented as

∴Area OAB=$∫_0^3xdy$

=$∫_0^3\frac{y^2}{4}dy$

=$\frac{1}{4}[\frac{y^3}{3}]_0^3$

=$\frac{1}{12}(27)$

=$\frac{9}{4}units$

Thus,the correct answer is B.