(Adj.) Relentless means very persistent or insistent about something ; strict or harsh
-> Ex: She was relentless about how you should break up with your boyfriend.
-> Ex: That teacher was relentless to that boy to wouldn't stop interrupting the class.
(Adj.) Ruthless means that you have no compassion, pity, or mercy.
-> Ex: Some people can be ruthless(cruel) to animals.
->Ex: Those politions are cold-blooded.