Questions & Answers about Moj brat je juče bio u bolnici.
Because moj has to agree with brat in gender, number, and case.
- brat is masculine
- singular
- nominative
So the correct form is moj.
Compare:
- moj brat = my brother
- moja sestra = my sister
- moje dete = my child
Je is the 3rd person singular present form of biti = to be, and here it works as an auxiliary verb.
Serbian usually forms the past tense with:
present of biti + past participle
So:
- je bio = was / has been
In this sentence, English naturally translates it as was: Moj brat je juče bio u bolnici. = My brother was in the hospital yesterday.