Radioactivityis due to unstable nucleus. It occurs in nuclei that don't have enough binding energy to hold the nucleus together due to an excess of either protons or neutrons.
Paracetamol is both an analgesic and antipyretic. Generally, it is a medicine that is used to relieve headaches and mild pains which is a characteristic of an analgesic. Alternatively, it is also used when a person is suffering from fever. Thus, acting as an antipyretic.