For the college preferences and the courses provided by these colleges and to know which colleges participate in the JOSAA counselling, please go to the below mentioned link: https://engineering.careers360.com/articles/josaa-participating-institutes/amp

For college prediction as per your marks and rank, please go through the below mentioned link:

Hello aspirant.

you are more likely to get a preparatory course in IIT. The major thing about preparatory course is that, you will be given Undergraduate only after a training period of one year and you certainly have to clear the training period to get promoted. Failing which you will not be able to get undergraduate seats in IIT.

IITs which offer preparatory courses are...

If you are doubtful, you can apply to any state counselling and you will surely get a good college around you and you can pursue undergraduate right away. the below link can help you choosing your appropriate college.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

hope it helps.

good luck