Answer:
The given equation is ellipse.
Step-by-step 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 a = c, It is a circle.
If a x c = 0, It is a parabola.
If a x c > 0, It is a ellipse .
If a x c < 0,It is a hyperbola.
In this case:
a = 1;c = 4
1 x 4 = 4 > 0, then the given equation is ellipse.
