Geometry

Question Analysis

The main focus is to convert the given equation of the circle from general form to standard form. We need to manipulate the equation to match the standard - form structure .

 

Key Concept Explanation

The general form of a circle's equation is , and the standard form is , where  is the center of the circle and  is the radius. For a circle centered at the origin , the standard form simplifies to .

 

Step - by - Step Solution

1. Given the equation .

2. To convert it to standard form, we simply add 9 to both sides of the equation.

We get , which is in the standard form  with  (center at the origin ).

 

Option Analysis

A.: Incorrect. Since

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