First of all congratulation for your marks in jee main . You can get good colleges . You can get good nits. Your possible nits are listed below. 

• Nit puduchery
•  Nit Patna
•  Nit meghalya
• Nit arunachal
• Nit himachal 

You can also check your possible college as per your score in careers360 college predictor section for jee main .

Hi Riya
With a percentile of 86, your probable rank will be121,210 - 141,210and your probable category rank range will be5485 - 6485. You can use the link below to calculate your percentile and rank
https://engineering.careers360.com/jee-main-rank-predictor
Yes, with this rank you have chances of getting some branches in some of the NITs.

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