A. Every supernova B. A black hole collapsing C. Typically a red supergiant going into supernova ( if it s really big!) D. A planetary nebula E. Typically a red supergiant going into supernova (if it s a bit on the smaller side!)
A neutron star is a celestial body, which is less than 30 km. it consists of closely packed neutrons. Theory suggests that they form due to the collapse of the star. They can also form after a supernova explosion. However, it should not be too big, or it will result in the formation of black hole instead of a neutron star.
Hence, we can say that a neutron star is a red supergiant that is going into a supernova that is on the smaller side. This is because, if it is too big, it will form a black hole. Taking these celestial rules into account, one can easily navigate the terminology of space and understand the different concepts.