Geometry

Question Analysis

The main focus is to determine the center of the circle from its given algebraic equation. We need to apply the standard form of the circle equation to extract the center coordinates.

Key Concept Explanation

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

Step - by - Step Solution

1. Rewrite the given equation in the standard form:

The given equation is . We can rewrite  as .

Now the equation is in the form , which is similar to the standard form

Click "Show Answer" to reveal the answer and analysis