Hai Anugunj.. You may can join for the courses like MSc in Computer Science or IT or in MCA etc to make a career in computer science. Please visit the websites of the institutes like SRM university, IP university, Lovely Professional University, Delhi university etc for more details on the course, fee, eligibility, placements etc.
Computer subject is not mandatory for a good career. But computer knowledge is very much in need for a successful career and also for personal life nowadays. You can also make a good career out of computer knowledge. So, you can go for the courses like B.Tech in computer science, B.Sc in Computer Science, B.Sc in IT, BCA etc if you are interested. Leading institutions for these courses are Manav Rachna university, IP university, Lovely Professional University, SRM university etc.