As per the last year percentile vs rank analysis if you have scored 96.98 percentile then your General rank would be around 31000 and obc category rank would be 8400 approximately. With home state quota you may get following branches (NIT Kurukshetra); Civil Engineering, Electrical Engineering, Mechanical engineering, Production and Industrial Engineering and if Other State quota is applicable in your case then your chances are of Civil Engineering and Production and Industrial Engineering only.
Check out the link below to explore more colleges according to your percentile.
https://engineering.careers360.com/jee-main-college-predictor
Good Luck !

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