I see that you have got 87.8 percentile in JEE mains and you are from OBC category plus you are female candidate. And you want to go to nit Surathkal and persue chemical engineering. 

See previous year closing rank for other state was around 9000 and that for home state it was around 11000 , so if you had around this rank then you are eligible for going to nit Surathkal. 

All the best.

Thank you.