Hi aspirant,

Yes you can surely give JEE Main or even advanced after taking admission in IIT provided that you meet the eligibility criteria. According to the current rules, a candidate can appear for JEE main in consecutive 3 years and for JEE advanced in consecutive 2 years starting from the year you appear for intermediate examination. Remember it is a uphill task as in college you will have to do numerous Assignments, projects, quizzes, exams etc. So maintaining the flow and intensity will be tough but if you wish then you can try and work hard to get the desired results.

Hope it helps!!

Yes, you can give Jee mains again after taking admission in IIT or any other engineering college. But you have to study for both college and JEE side by side if you want to give the exam again. It's up to you if you can handle the pressure of college than go on for it.