$\"\"$

The discriminant is $\"\"$ .

The discriminant can be written as $\"\"$ .

The general form of the conic equation is $\"\"$ .

Identify the conic section using the discriminant of $\"\"$ .

If a circle $\"\"$ ; $\"\"$ and $\"\"$ .

If an ellipse $\"\"$ ; either $\"\"$ and $\"\"$ .

If a hyperbola $\"\"$ .

If an parabola $\"\"$ .

Here $\"\"$ .

Substitute the values in the equation $\"\"$ .

$\"\"$

The discriminant is less than $\"\"$ , so the conic must be either a circle or an ellicpse.

As $\"\"$ , the conic is a circle.

$\"\"$

The conic is a circle.