Anna University

Yes, you can apply, but most importantly in what type of architecture you are interested? There are many types of architecture so first decide it before applying and as your subject in graduation was history. So, if you are interested in ancient architecture style, then try to focus in some more universities in Delhi, Bangalore, etc. kind of places.

You can get direct admission based on your merit list.

Hello Vaishu,
JEE Mains may not be important, but it's an exam that tells us our true rating. In addition, some states give admission in engineering colleges based on marks obtained in JEE Mains. If you happen to belong to such state, then it's compulsory for you.

The dates for 2018 exam are yet to be out. Given below are the dates of last year's exam for reference purpose only. The dates will be updated for the upcoming exam soon after the schedule is out.
TANCET 2017 Dates:
Start of TANCET 2017 Application Form-Jan 29 2017
Last Date for Registration through Internet (extended)-Feb 28 2017
Download of TANCET 2017 Hall Ticket- Mar 14 2017
TANCET 2017 Exam- Mar 25 - Mar 26 2017

Follow the link below for details:
https://www.shiksha.com/b-tech/course/b-tech-in-information-technology-college-of-engineering-anna-university-ceg-guindy-guindy-chennai-167421

For Anna University, you need to apply for TNEA and have to score a good rank in the exam to get a seat in Anna University.

You can get it directly from Google with simply typing TANCET application form 2018.

The registration is not open yet.