As you Btech CSE is one of the most preferred course due to its field of study as well as good employability. As all over the world the userbase is growing so the need of CSE will become more. Thus if you choose the CSE as field of study then its a very good choice and you should go for it.

Some of the CSE colleges in Uttarakhand are:

IIT Roorkee - Indian Institute of Technology

GBPEC Pauri-Garhwal - Govind Ballabh Pant Institute of Engineering and Technology

BTKIT Dwarahat - Bipin Tripathi Kumaon Institute of Technology

GBPUAT Pantnagar - College of Technology GB Pant University of Agriculture and Technology

NIT Uttarakhand - National Institute of Technology

Some of the CSE colleges in Delhi:

DTU Delhi - Delhi Technological University

JMI New Delhi - Jamia Millia Islamia

IIT Delhi - Indian Institute of Technology

IIIT Delhi - Indraprastha Institute of Information Technology

NSUT Delhi - Netaji Subhas University of Technology

For more government colleges visit the link below:

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india?ownership=Public/Government&branch=Computer%20Science%20Engineering

I hope this answer helps. All the very best for your future endeavors!