Find the equation of the circle that passes through the points `(1,0),(-1,0)a n d(0,1)dot`

Explanation

To find the equation of the circle that passes through the points (1, 0), (-1, 0), and (0, 1), we can follow these steps:

### Step 1: Write the general equation of a circle
The general equation of a circle can be expressed as:
\[ x^2 + y^2 + 2gx + 2fy + c = 0 \]
where \( g \), \( f \), and \( c \) are constants that we need to determine.

### Step 2: Substitute the first point (1, 0)
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