Hello Nag,
As you have scored 281-290 in NEET UG 2019, and belong to BC-A category, you might have chance for BHMS in government college. You can definitely get admission in private colleges by giving their entrance tests and interviews.
Here are a link that would help you to predict your college according to Category, Cutoff, etc.
https://medicine.careers360.com/neet-college-predictor
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