Hey Dheeraj.
As per the previous year trends for admission in NIT Trichy under the home state quota and considering that your SC category rank is 7500 you might have a chance for admission in this college. But with this rank only a few branches might be available like  Metallurgical and Materials Engineering. You might have few chances in Civil branch or production branch too. Rest would depend on the factors of this year. Hope for the best.
You can use the link below to check your chances in other NITs and branches.
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff/amp
Best of luck

NIT Trichy

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