Question

classify the conic section defined by 2x^2+2x+2y^2-6y-11=0

Answer 1

circle since the coefficients of x^2 and y^2 are equal

Answer 2

difference signs for these two it would be hyperbola
same sign but different coefficient ellipse

Answer 3

if either coefficient is 0 but not both then it is a parabola

Answer 4

of course i'm still talking about the coefficients of x^2 and y^2