BCA

No, you are not eligible for pursuing a BCA at Government College sector 9 Gurgaon. You can take a crash course of mathematics for being eligible or opt for the open education.

Mangalore University offers BCA as a 3 year UG level programme. Admission to BCA is offered on the basis of merit and would require candidates to secure a minimum aggregate of 35% to 45% in Class 12. Candidates must secure valid scores in previously attempted institutional level entrance exam. However, there has not been any other set of entrance exams indicated by the university for the admission to BCA course. 

Actually, Delhi University does not really offer a direct BCA (Bachelor of Computer Applications) program to students. However, it provides similar undergraduate courses to B.Sc. (Hons) Computer Science and B.Sc. Program in Computer Science through its various colleges. When it comes to Delhi, SOL it also does not offer the BCA course. 

BSc CS is for the students who prefer deep technical knowledge and research, but BCA is a better option for those students who want to get into the practical approach of knowledge gained in the years of graduation. BSc CS is ideal for exploring various specializations and studying deeply about the computer Science subjects; it can result in careers like research as well as academia. The curriculum of BCA is practical. Eventually, both degrees can lead to successful IT careers if pursued with dedication and constant upscaling in one's skill set.

You might get little problem if you have not studied Physics and chemistry in class 11th and 12th as the first year of BCA would have Engineering Physics and Chemistry, however if you are so keen into doing it then I can suggest GL Bajaj for it. You can pursue your BCA then MCA for masters from here as MCA placements are better than B.Tech students and yes there are options for specialization so you can opt for AI and ML too.