# How do you identity if the equation #6x^2-24x-5y^2-10y-11=0# is a parabola, circle, ellipse, or hyperbola and how do you graph it?

##### 1 Answer

Dec 27, 2016

#### Answer:

Hyperbola

#### Explanation:

The second degree equation

represents an ellipse, parabola according as

If

Here,

As h = 0, the axes are parallel to the axes of coordinates.

So, the form is reduced to the standard form as

Center:

Asymptotes: From

Separately,