Hello Suneetha,
Considering the previous year cutoff you might not get a seat in NIT Tiruchirappalli if you do not come under home state quota, but you can get a seat if you come under home state quota. Even in later case you cannot get top branches. Here are the branches that you can get if you come under home state quota: Civil Engineering, Metallurgical and Materials Engineering and Production Engineering.
To get more information about opening and closing ranks of other branches in NIT Trichy, you can go through the following link:
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy
Good Luck !!!
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