Geometry

Question Analysis

The main focus is to use the standard form of the circle equation to find the center coordinates from the given algebraic equation.

Key Concept Explanation

The standard form of a circle's equation is , where  is the center of the circle and  is the radius. The signs of the values inside the parentheses are crucial for determining the center.

Step - by - Step Solution

1. Rewrite the equation in standard form:

Rewrite  as  and  as  in the equation . So it becomes

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