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Hello Aspirant,
As you have mentioned that you had passed your class 12th in 2020 so even if you appear for improvement but your passing year will be considered as 2020 and according to which you are eligible to appear for JEE-Main till 2022 and for JEE-Advance till this year only because as per the eligibility criteria for JEE-Advance this year 75% criteria has been waived off due to the ongoing pandemic so even if you had passed class 12th in 2020 with less than 75% then also you are eligible for JEE-Advance 2021 provided that you also qualify JEE-Main 2021.To give you an idea of JEE-Main 2021 expected qualifying cut-offs are mentioned below :-
Note that in above table it is not the actual cut-off for JEE-Main 2021 but expected on the basis of previous year's analysis. You can check out previous year's cut-off trends from the link given below :-
https://engineering.careers360.com/articles/jee-main-cutoff
To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Main College Predictor:-
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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