Hello,

The admission to NITs and IIITs occur through JoSAA counselling. JoSAA is an authority that is responsible for admitting students to various courses in these institutes. For considering you for that you should register yourself for that. The JoSAA registration is to start by second week of June 2019. After registration, JoSAA authority will make a rank list of those who applied and the call for counselling will be based on this.

With 97.06 percentile in JEE Mains I think you can get good colleges. As ranks of JEE Mains is different from one that is considered for JoSAA counselling one cannot predict the absolute one.