Question

How do you classify `x^2+6y^2 -10x- 11 =0`?

Answer 1

`x^2+6y^2-10x-11=0`
has the general form of an ellipse:
graph{x^2+6y^2-10x-11 = 0 [-3.65, 14.13, -4.724, 4.165]}