Dear aspirant,

First of all if you have given an improvement exam then absolutely the marks obtained by you this year would be different. That is the main proof of your improvement examination irrespective of the fact whether it is written improvement or not in your marksheet.

Coming to your second part of the question, it doesn't matter whether you have gap or not between your 10th and 12th. As you have cleared your 12th in the year 2020 then you are absolutely eligible to give jee mains this year.

There are some eligibility criteria and for that you can check out the link given below-

https://engineering.careers360.com/articles/jee-main-eligibility-criteria