NIT Trichy is one of the top NITs so you will have to secure a good rank in Jee Mains. Considering general category, 250+ score is enough to admit in NIT Trichy. For OBC students, There is slightly less score to need like 230+ and 180–190+ score need for SC, ST students. It may be vary depending on question paper and cutoff rank. And of course, you will get some advantage for being home state quota.

Go through the below provided link where you can check previous year cutoff rank for  NIT Trichy.

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy

All the very best and good luck.