B.Tech

My opinion is you can do B.Tech from a private college. The best B.Tech private college is The Northcap University. Computer Science is an area that is evolving each day with new innovations that have been changing the globe over the last 50 years. The Department of Computer Science and Engineering is one of the core departments of The NorthCap University. The Department is striving towards its goal of providing innovative and quality education with high standards to achieve academic excellence. Keeping in view the dynamic nature of growth in industry and the increasing demand for the latest technologies, the department is starting five new specializations in B.Tech CSE namely.
1) Data Science and AI
2) Cyber Security
3) IOT & Cloud Computing
4) Full Stack Development
5) Game Tech, AR and VR
Visit: https://www.ncuindia.edu/.

Yes you can be eligible if meeting the below eligible criteria. Eligibility Criteria :
Educational Qualification:
1. Passed 10+2 in Physics, Chemistry, Mathematics with minimum 60% marks and English with minimum of 50% marks.
2. Passed four-year degree with 60% marks in Electrical Engineering, Electrical and Electronics Engineering, Electronics and Telecommunication Engineering only. Minimum 6 months of industrial experience is preferred.
3. The degree courses must have been recognised by any State or Central Government or the AICTE and conducted in English language. Age & Medical Fitness: Not more than 30 years on date of commencement of training and medically fit including eye sight and hearing as prescribed in the Merchant Shipping (Medical Examination) Rules, 2000; as amended from time to time.