Find the centre of a circle passing through the points `(6,- 6),\ (3,-7)` and `(3,3).`

Explanation

To find the center of the circle passing through the points \( A(6, -6) \), \( B(3, -7) \), and \( C(3, 3) \), we can follow these steps:

### Step 1: Write the general equation of the circle
The general equation of a circle is given by:
\[ x^2 + y^2 + Dx + Ey + F = 0 \]
where \( D \), \( E \), and \( F \) are constants that we need to determine.
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