Hello Vijay Warriar,

According to last year's cutoffs, with general rank of 6370 rank in TNEA  ,you have good chances of getting into many colleges, and into several branches like Chemical engineering in Coimbatore Institute of Technology.

Go to the following link to get an idea of which colleges you may get with your TNEA rank :

https://images.careers360.mobi/sites/default/files/TNEA-2018-opening_closing_branchwise_ROUND-3.pdf

https://engineering.careers360.com/articles/tnea-cutoff

or

https://annauniversitybe.info/anna-university-cutoff-marks-2018/2018-18-CS0-17.php

Hope it helps!