Hello Aspirant,
See there is no any specific state counselling for JEE-Main in Uttar Pradesh so either you have to enroll yourself in JOSAA counselling or some universities and colleges conducts their own counselling so you can also enroll in them, now this was for JEE-Main and if you are taking for UPSEE 2020 Counselling then till now no dates have been declared by Dr. APJ Abdul Kalam Technical University (AKTU). It is known that AKTU is responsible for each and every event of UPSEE.
To have a list of all those colleges which you can get based upon your marks and category you can use UPSEE College Predictor:-
https://www.careers360.com/upsee-college-predictor?icn=QnA&ici=qna_answer
You can also use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck!!
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