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 can 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 \( y = \frac{x^2}{9} \))

### Step 2: Find the points of intersection
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