Vellore Institute of Technology - Chennai Campus

Alagappa institute of technology, Bharath post graduate college, HITS etc. Are some of the colleges that offer library related courses in Chennai.

No, you are not eligible for VIT Chennai with a MAT score of 521 as this score compiles to around 44-45 percentile. And the MAT cutoff for VIT Chennai is 80+ percentile.

SRM AND VIT you should refer.

You have to appear VITEEE and you are good to go for admission in B.Tech at VIT.

You can also choose SRM because everything is same about VIT & SRM

No you are not eligible because they take the student when he or she has secured below 50k rank.(refer with an article)

Please write about the VITEE rank you secured for better response.

Getting CSE at VIT Chennai through category-1&2 is difficult. Chances of EEE, Civil and Mechanical are high.

CSE is difficult. However try out other options through various categories (From 1-5).

Hello,
If I may say so, your ranking is a bit on the lower side. College predictor by Shiksha can help you in guessing as to which branch and where you can get admission. To help you I am attaching this link. https://www.shiksha.com/engineering/viteee-college-predictor
Yes, there is management quota. For this you will need to contact the administration of VIT to know the details. Best wishes to you.