Geometry

Question Analysis

The main focus is to determine the center of the circle by applying the standard form of the circle equation to the given algebraic equation.

Key Concept Explanation

The standard form of a circle's equation is , where represents the center of the circle and is the radius. The signs within the parentheses are vital for correctly identifying the center.

Step - by - Step Solution

1. Rewrite the equation in standard form:

Given , rewrite as and as . So the equation becomes .

2. Identify the center coordinates:

Comparing with

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