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Hello Aspirant,
According to the rank you have mentioned in the question you have no chances of getting any branch in NIT Trichy as per previous year's cut-off even after considering your Home State quota. As cut-offs for this year is not declared yet so we can guide you on the basis of previous year's cut-offs.
For complete details about previous year's cut-offs refer the link given below :-
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy/amp
Note that the cut-offs are bound to change every year depending upon various factors, so to get an idea we can use last year's cut-offs.
B.Tech/B.Arch Admissions OPEN
However I would recommend you to use JEE-Main College Predictor to predict the chances of your admission in different colleges based upon your percentile and category :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck!!
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