Thank you Joe. This clarifies a lot. One thing I don’t understand is if both a star and a black hole would have the same mass, why black hole is able to fold (or warp) the space to prevent light from escaping but the star can’t?Hello suneritz, Thanks! For any star, no; only a black hole. Or more precisely, the singularity, because its gravitational field is so extreme, would create a situation where the escape velocity is the speed of light (and not allow light to escape).
The jets aren't emitted by the black hole (nothing is coming OUT of the black hole, if that's what you were thinking), but by reactions in the region near the black hole. The gravity of the black hole is providing the energy that drives the jet, but the jet isn't emanating from the black hole (just near it).
Give me a little more info about what you are thinking is an active star and I can maybe refine my answer!