# How do you determine circle, parabola, ellipse, or hyperbola from equation #4x^2 - 9y^2 - 16x +18y -11 = 0#?

##### 1 Answer

Nov 12, 2015

**EVERY** *conic section* can be written with the **general equation** :

#### Explanation:

Here is how you distinguish the various conic sections from the coefficients in the general equation:

**circle** :

**ellipse** : **SAME sign** (+ or -)

**hyperbola** : **DIFFERENT signs**

**parabola** : either A or B equals 0 (only **one squared term** in the equation)

So, in the problem stated above, since **hypebola** !

hope that helped