B.Sc

Following are the best options for you:
Amity Institute of Organic Agriculture, Noida
Uttar Banga Krishi Vishwavidyalaya, Cooch Behar
National Post Graduate College, Lucknow
Chaudhary Charan Singh University, Meerut
Krishnath College, Berhampore
Mangalayatan University, Aligarh
Shobhit University, Meerut
Seacom Skills University, Birbhum
Chhatrapati Shahu Ji Maharaj University, Kanpur
Sunrise University, Alwar

B.Sc is more practical, and BA is more theoretical. B.Sc focusses more on mathematical aspects. It has more number of courses. A B.Sc degree should be your first choice. If you go for an honors course, you get a specialization in the final year.

Hello Shaharyar,
The two links below give you the list of animation colleges in Pune:
1) https://www.shiksha.com/animation/2d-3d-animation/colleges/colleges-pune
2) https://www.shiksha.com/animation/colleges/colleges-pune

For that, we need to know your performance in different examinations like BITSAT, JEE Mains, JEE Advance etc.

The B.Sc (CS) course mainly focuses on the mathematical and theoretical foundations of computing, rather than teaching specific technologies that may quickly become outdated. The course prepares you for higher education.
BA is more professionally oriented; it prepares you for post-graduate or research work and also creates professional manpower for problem solving through application of computer science at the interface of business and technology So you can go for BA

Hi Nisar,
Your ultimate goal is a Ph.D, so the programme combination won't really matter. Education system abroad is very different also. Stick to your goals, perform well in class, engage yourself with high-class research work and publication and try to enroll in MS -Ph.D abroad for better job prospects.

Hi Rashmi,
Chances are dicey. Cut-offs usually go above 90%. You have to wait for the merit list to announced by the colleges. For an idea about previous year cut-offs refer to this article
https://www.shiksha.com/humanities-social-sciences/articles/du-cut-off-trends-for-past-years-blogId-12697