$\"\"$

Classifying conic from its general equation:

The graph of $\"\"$ is one of the following:

1. Circle: $\"\"$

2. Parabola: $\"\"$ , either $\"\"$ or $\"\"$ but not both.

3. Ellipse: $\"\"$ , $\"\"$ and $\"\"$ have like signs.

4. Hyperbola: $\"\"$ , $\"\"$ and $\"\"$ have unlike signs. \ \

The equation is $\"\"$ .

Compare $\"\"$ with $\"\"$ .

The values of $\"\"$ and $\"\"$ .

$\"\"$ and $\"\"$ , $\"\"$ are having like signs.

The graph of the equation represents an ellipse.

$\"\"$

The graph of the equation represents an ellipse.