All of the options given are possessive determiners. However, in terms of their typical usage:
- My is a possessive determiner used for the first person singular (I).
- Yours is a possessive determiner used for the second person singular/plural (you).
- Hers is a possessive determiner used for the third person singular female (she).
- Theirs is a possessive determiner used for the third person plural (they).
Therefore, the options are correct as possessive determiners. If you had to pick just one, "My" is a common example of a possessive determiner.