Geometry

Question Analysis

The main focus is to convert the given circle equation from general form to standard form  by completing the square for  and  terms, to determine the center  of the circle.

Key Concept Explanation

For a circle equation in general form , we complete the square for  terms () by adding  and for  terms () by adding . The standard form  has center .

Step-by-Step Solution

1. Given .

2. Complete the square for  terms:

The coefficient of  is

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