The area bounded between the parabolas `x^2=y/4"and"x^2=9y` and the straight line `y""=""2` is (1) `20sqrt(2)` (2) `(10sqrt(2))/3` (3) `(20sqrt(2))/3` (4) `10sqrt(2)`

Explanation

To find the area bounded between the parabolas \(x^2 = \frac{y}{4}\) and \(x^2 = 9y\), and the straight line \(y = 2\), we will follow these steps:

### Step 1: Identify the curves
The equations of the curves are:
1. \(x^2 = \frac{y}{4}\) (which can be rewritten as \(y = 4x^2\))
2. \(x^2 = 9y\) (which can be rewritten as \(y = \frac{x^2}{9}\))
3. The line \(y = 2\)

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