Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

The area bounded by $y^2=x, y=5$ and y-axis is :

Options:

25 sq units

$\frac{125}{2}$ sq units

$\frac{125}{3}$ sq units

75 sq units

Correct Answer:

$\frac{125}{3}$ sq units

Explanation:

$y^2=x$      y = 5      y axis

So area

$=\int\limits_0^5 y^2 d x$

area = $\left[\frac{y^3}{3}\right]_0^5$

$=\frac{125}{3}$ sq units