(a).

The conic equation is .

The equation 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 .

Subustiute the values in the equation .

The discriminant is less than , so the conic must be either a circle or an ellipse.

As , the conic is an ellipse.

(b).

The conic equation is .

The equation can be written as .

The equation is in the general form of .

The discriminant can be obtained by using the formula .

Here .

The discriminant is , so the conic is a parabola.

(c).

The conic equation .

The equation can be written as .

Here .

The discriminant is less than , so the conic must be either a circle or an ellipse.

As the conic is an ellipse.

(a). The conic is an ellipse.

(b). The conic is a parabola.

(c). The conic is an ellipse.