Geometry

Question Analysis

The main focus is to find the center of the circle from its general - form equation  by converting it to the standard form , where  is the center.

Key Concept Explanation

The general form of a circle is . To get the center, we complete the square for the  and  terms to transform it into the standard form. For , we add  to complete the square.

Step-by-Step Solution

1. Given .

2. Complete the square for the  terms:

The coefficient of  is . Half of  is , and .

Add  to both sides: .

Factor the

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