Hey sandhaya!  fine art helps you  develop your passion in the field of graphics, designing, printing etc. 

As you said that you are good in your studies and pursuing bsc, you have good career plan in Msc,Mba,B.Ed or Bank PO clerk etc, but for your passion and internet you can definitely go for masters in fine art. 

About  Masters in Fine Art

Masters in fine art is two years post graduation course .This course enhance student's thinking and understanding capacity and knowledge in the field  of art. This degree has various interesting field to study such as theater, graphic designing, film making, creative and other creative professional 

Eligibility criteria 

The basic eligibility criteria is to have bachelor degree in any recognised university with minimum marks 50% in aggregate 

List of college in fine Arts

 There are various colleges in India that offer master degree in fine arts .

• College of Art, New Delhi
• Faculty of Visual Arts BHU,varanasi
• Faculty of fine Arts, New Delhi
• Sir JJ college of Arts,  Mumbai
• Faculty of fine arts,  Vadodara

For more information please visit 

https://design.careers360.com/colleges/list-of-bfa-colleges-in-india

Hope it will help you 

My all best wishes!