Hello Janvi Kumari,
Yes, you can do Bachelor of Arts (B.A) by distance mode or online. There are some colleges which offers B.A program in distance mode/online. You have not mentioned the subject or your interested field in which you want to do BA. I'm generalizing the answer by giving the BA district colleges.
The minimum eligibility is that you should get minimum 50 percentage in 12 th standard or equivalent exam from a recognised Board. The average fees is around Rs. 4000 to Rs. 50,000.
Venkateshwara Open University, Naharlagun
Indira Gandhi National Open University, Delhi
University of Delhi, New Delhi
Mumbai University, Mumbai
Lovely Professional University, Jalandhar
Annamalai University, Kerala
Jaipur National University, Jaipur
Amity University, Noida
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