Software Engineering

No, you can't do any course in IT or software development as you don't have maths in 12th. It is mandatory to have maths as a subject to apply for B.Sc. BCA and B.Tech. You can go for other field in Science, And you can continue learning Computer and software development side by side.

With lots of efforts and by making programming strong and be technically strong.

Yes you can do it.

You can consider IIT Bombay, IIT Delhi, IIT Kanpur, IIT Kharagpur and IIT madras.

Software Engineering (SE) deals with building and maintaining software systems. CSE stands on designing compilers, computer organisation, hardware, software and Databases.

Hi,
Checkout this link:
https://www.shiksha.com/b-tech/colleges/b-tech-in-computer-science-engineering-colleges-Kolkata

In any course of engineering maths is a very important subject. Especially in Software engineering, to create logics and Algorithm in data Science, you need knowledge of maths, statistics, probability etc. That's why it is needed in engineering.

Hi Chinnu Rao,
Kindly predict your colleges in this college predictor. JEE Mains rank predictor is an online tool which predicts the candidates rank range and probable colleges based on the difficulty level of the examination, average marks scored in JEE Main and seats available in IITs, NITs, GFTIs, and other SFTIs. The rank predicted might not be accurate but it certainly does give an idea to the aspirant. Know your college admission chances based on your JEE Mains rank, home state, caste, gender, etc. here:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Hello Rishi,
To know the list of top software and CSE colleges in India, you may refer the link below :
https://www.shiksha.com/b-tech/ranking/top-computer-science-engineering-colleges-in-india/46-2-0-0-0.