How do you identity if the equation x2+4y2+2x−24y+33=0 is a parabola, circle, ellipse, or hyperbola and how do you graph it?
1 Answer
Dec 24, 2016
The given equation is ellipse.
Explanation:
Given -
x2+4y2+2x−24y+33=0
Conic section formula, in the general form, could be written like this-
ax2+cy2+dx+ey+f=0
The apply the following conditions to identify the equation.
If
If
If
If
In our case
a=1;c=4
1×4=4>0 , then the given equation is ellipse.