Hello

Bangalore falls uunder Karnataka and Coimbatore falls under tamil nadu. Since you are from Kerela you wont be able to get admission there via state quota so your hopes of getting  a college in these places are limited to AIQ. According to previous year statistics you could have managed to get a seat in Govt. Medical College, Tirunelveli via AIQ and none in karnataka via AIQ (if you had a domicile of Karnataka the scenario would have been entirely different though). However since you are from kerela you can apply for Azeezia Medical College, Meeyannoor 

Sree Gokulam Medical College, Venjaramoodu 

KMCT Medical College, Manassery 

Sree Uthradom Thirunal Academy of Medical Sciences, Vencode

Sree Narayana Institute of Medical Sciences, Chalakka

Malabar Medical College Hospital and Research Centre, Modakkallur

Karuna Medical College, Palakkad

in kerela state counselling.