Hello,
at a neet rank of 44200 you have less chances of getting into government medical colleges in at unreserved category.
You can still try for private institutions and deemed colleges as domicile isnot needed.
you can easily apply to get into any private medical college in india but however we recommend you to take admission in private medical colleges of karnataka or maharashtra as the fee is quite less there around 6-7 lakes per annum and also they provide with all the latest equipments and facilities required during mbbs course.
Also maharashtra and karnataka have maximum no. Of private colleges in the country so you have more and better options to chose from.
You can use careers360 college predictor to know the colleges you can get at your NEET score:- https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
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