With a percentile this high, you can try going for JEE Advanced. If you still want to try NIT Trichy you can get Metallurgy, Chemical, Production Engineering, Civil, Instrumentation and Control, and some other lower branches. However, you should be a candidate belonging to the General category. You can also get Computer Science and Mechanical if you are in the OBC category.
If you are a candidate of the home state then you can get the streams mentioned previously as well as ECE, EEE, and CSE.