Distance/Correspondence

Yes, you can. First, you need research about the course, centre and other details of the field.

If you want to do Masters through distance then you can take admission in IGNOU (Indira Gandhi National Open University). It is cost effective too.

Yes, you are fully eligible for this course. To apply for B.A you must be pass in class 12. There is no age limit to pursue your graduation. Some open universities which offer this course.
IGNOU
Utkal University
And many other open universities.

Yes, you can apply online at
https://mkudde.org/onlineadmission/

M.Phil Through Distance Mode is not available from all universities except the IGNOU ad far as I know. Some years back, the Distance Education M.Phil was stopped.

PU provides distance courses but M.Phil is not provided through correspondence. It is done through regular mode.

Hi. The minimum duration for B.Ed through distance education is two years, however, the maximum duration five years. Admission to the distance mode programme is merit-based. Candidates should have scored a minimum of 50% aggregate in the undergraduate programme in any discipline and 55% in postgraduate programme. So, you are eligible. Thanks!

No, it does not provide any course through distance mode.

Check this link to know about the college:
https://www.shiksha.com/science/course/amp/m-sc-in-organic-chemistry-school-of-distance-education-andhra-university-visakhapatnam-82871

Follow the link to get information about the top colleges. https://www.shiksha.com/arts-fine-visual-performing/colleges/mfa-colleges-india.