Hello!!!

Sorry to inform you but as per your rank it is not possible to get mechanical engineering in nit trichy. You may check the link provided below for cut offs

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy/amp

Also there is no branch like mechanical engineering in IIIT trichy.  Only computer science and electronics and communication branches are available. It is not possible to get into those two branches as well at iiit Trichy 

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-iiit-srirangam/amp