Hey,
Your rank is good so there is a high chance that you might get a seat in College of Engineering Thrissur.
As your KEAM rank is under 4000 you can easily get civil, chemical, production engineering branch.

If you belong to schedule cast you can easily get CSE, ECE or any other branch of your choice.

If you have any other inquary with the cut-off of College of Engineering Thrissur you can go through the link given below,
https://www.careers360.com/colleges/government-engineering-college-thrissur
Hope you are satisfied with this answer, please upvote me and you can ask anything in the comment box.
Good luck!

Don't be too tense, because you get a good rank in KEAM exam, and by research i came to know that in previous years the eligible rank for EC student in Government Engineering college is around in the range of 7000 to 8000. So, no need to worry about your rank and seat. So, be positive and All the Best.

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