The area enclosed between the curves `y^2=""x""a n d""y""=""|x|` is (1) 2/3 (2) 1 (3) 1/6 (4) 1/3

Explanation

To find the area enclosed between the curves \( y^2 = x \) and \( y = |x| \), we will follow these steps:

### Step 1: Identify the curves
The first curve is \( y^2 = x \), which is a rightward-opening parabola. The second curve is \( y = |x| \), which consists of two lines: \( y = x \) for \( x \geq 0 \) and \( y = -x \) for \( x < 0 \).

### Step 2: Find the points of intersection
To find the points where these curves intersect, we set \( y^2 = x \) equal to \( y = |x| \).

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