# How do you know if #x^2+2y^2+2x-12y+11=0# is a hyperbola, parabola, circle or ellipse?

##### 1 Answer

Jul 19, 2018

**Equation of the ellipse**

#### Explanation:

The general equation of conics is

ellipse.

This is standard equation of horizontal ellipse is

Hence this is ellipse.

graph{x^2+2y^2+2x-12y+11=0 [-20, 20, -10, 10]} [Ans]