Hello,
If you are talking about 6000 rank as your open category rank, then you have very high chances of getting a seat in the top government engineering colleges like NITs and IIITs.  You can also get core branches like CSE, ECE, EEE, etc on the subsequent rounds of JOSAA counseling.
Please go for all the rounds of JOSAA  counseling and also go for the CSAB spot round as you might get more better seats in too NITs.
Please use the JEE Mains college predictor to get to know the probable colleges according to your rank https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/jee-main-college-predictor&ved=2ahUKEwjah5bw397rAhUezTgGHbnrB2MQtwIwAXoECAMQAQ&usg=AOvVaw1pTMu5LewXe0n3JPiA8V2U

Hope it helps

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