Coimbatore

You should go for chemical engineering branch at Amrita Visha Vidyapeetham, Coimbatore. This is a very good college in terms of placement, infrastructure and faculty members.

Yes, you can get admission in either EEE or civil branch in Coimbatore, Bangalore or Chennai. Your rank is enough to get you a seat. You should participate in the counselling process.
Best of luck.

Well, your rank is under 10K, there is a great chance of getting admission under said score. For more information, you can follow this link:
https://www.shiksha.com/college/cit-Coimbatore-Coimbatore-institute-of-technology-19322

Hi Elangovan,
You cannot get admission in CSE, but other branches are available for you like electrical, mechanical, civil etc. Even you can try for information technology. Best of luck.

You should score 80% to get a safe side for getting admission in this college. Best wishes.

Yes, you'll get admission in Amrita University only if you have qualified the entrance exam. Another way of getting admission there is through management quota.

Yes, definitely, you will get a seat in Coimbatore University with a cut-off of 87.5 in 12th (2019) as the eligibility criteria is 10+2 with 60% with Group 1- Mathematics, Physics, Chemistry & Biology.
OR
Group 2- Physics, Chemistry, Biology with a fourth elective i.e Biotechnology/ Microbiology/ Biochemistry/Home Science OR Physics, Chemistry, Botany and Zoology
All the best for your future.

Hi, please use Shiksha.com's college predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Ranks keep on changing every year and differ from one branch to another and one college to another. If you fulfil the eligibility criteria of the specific institute you may complete further admission formalities.

Hi, use the college predictor of Shiksha.com's college predictor
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor