whatever form it is in, if the value of a variable goes to infinity in any direction and it still can satisfy the equation, it is not a circle or ellipse.
for example
x^2+y^2 = 4 (circle radius 2)
what happens if |x| or |y| > 2 ?
How do you think you would tell the difference between a hyperbola and a circle or ellipse in EXPANDED Form?
2 answers
circle: x^2 + y^2
ellipse ax^2 + by^2
hyperbola ax^2 - by^2 or by^2 - ax^2
ellipse ax^2 + by^2
hyperbola ax^2 - by^2 or by^2 - ax^2