In this worksheet, we will practice determining the type of conic sections without rewriting the general equation in standard form, using the discriminant.

**Q1: **

By calculating the discriminant, identify the type of conic that is described by the equation .

- AA parabola
- BA hyperbola
- CAn ellipse
- DA circle

**Q2: **

The general equation of a conic has the form .

Which of the following conditions would allow us to conclude that it is an ellipse?

- A
- B
- C , , and
- D and either or

**Q3: **

The general equation of a conic has the form .

Consider the equation .

Calculate the value of the discriminant .

Hence, identify the conic described by the equation.

- ACircle
- BEllipse
- CParabola
- DHyperbola