I am reading an article about conics and one of the theorems states: "Let $K$ and $C$ be nondegenerate conics in general position..."
I am trying to apply this to real projective plane and I have trouble understanding this. General position means no three points are collinear, hence when talking about conic, it does not include a line. If a conic includes line, it is degenerate. So do we have to assume both things or is nondegenerate conics enough? Or do we have to say that $K$ and $C$ are nondegenerate and not empty (and we can forget about general position)? I assume in other projective planes things are more complicated.