Graphic / Web Design

You do not have to do it separately. You can do this course - Bachelor of Web Design: Degree Overview;
Bachelor of Web Design degree programs teach students how to structure websites, design web pages and produce multimedia projects. Students are trained in a broad array of software tools, protocols, and more.

If you're interested in programming then go with courses like B.Tech/ BCA / B.Sc. Work hard and smart.

Hi,
There are many colleges offering UG Graphic Designing courses.
The top ones are mainly - NID, NIFT, Delhi College of Art and Banaras Hindu University. There are many other private ones equally good.

The Masters would surely help you get better job offers and a better pay grade possibly. But, good placement would often depend on the college.

There is no specific course for graphic design in AAFT. You will either do degree programs in animation which will have different topics like graphic designing, web, 2d,3d, VFX and fx.

Yes, this college offers degree and Diploma in graphics design. You can take admission here. Good luck.

There are various colleges in Hyderabad which provide Diploma in graphic design.
Some of the top colleges are shown in the link below:
https://www.shiksha.com/animation/graphic-web-design/colleges/diploma-courses-Hyderabad