Hello,
The CIT, chennai is private institution and comes under the college of Anna university. It provides many facilities so it is a good place to study .The total fees for CSE branch is around 2 lakhs. For more details check the below link.
https://www.careers360.com/colleges/chennai-institute-of-technology-chennai
http://www.chennaiinstituteoftechnology.com/departments/ug-courses/computer-science-engineering/
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