The circle equation is $\"\"$ .

Rewrite the equation as $\"\"$ .

Compare with standard form of a circle $\"\"$ , where center $\"\"$ and radius $\"\"$ .

Center $\"\"$ and radius is $\"\"$ .

The student is incorrect because he states that the center at $\"\"$ , but the center of the circle is at $\"\"$ .

Therefore the center considered by the student is incorrect.

Center $\"\"$ and radius is $\"\"$ .