Hello aspirant,

With your NEET score and rank in the general category, you have  a pretty low chance at getting into the government and top private institutions for MBBS and BDS programs with the All India Quota Seats (15%). Since Karnataka is your domicile state, you will be able to get reputed colleges using your State Quota Seats (85%) but a  little difficult to get into colleges in Tamil Nadu.

In management quota, here are the colleges in Karnataka that you will be able to get into with your rank:

1. Navodaya Medical College, Raichur
2. K.Venkataramana Gowda Medical College and Hospital, Dakshina Kannada
3. Srinivasa Institute of Medical Research Center, Mangalore

The above list is based on cutoffs from pervious years and isn't exact. To know about the list of colleges that you will get into, kindly use the NEET UG college predictor tool below:
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Hope this helps.