# How do you identify the following equation #(x-1)^2/9 - (y+2)^2/25 = 1# as a circle, parabola, ellipse or hyperbola?

##### 1 Answer

Nov 11, 2015

hyperbola

#### Explanation:

The equation is that of an ellipse if the sign of both

The equation is that of a circle if the sign of both

The equation is that of a parabola if only one of either

The equation is that of a hyperbola if

In the given,

Hence, the equation is that of a hyperbola