Distance MBA

Your question is quite vague. Try to search for it.

Kindly refer this link, hope you would get some help:-
http://www.bestindiaedu.com/distance-learning/courses/master-international-business.html All the best.

Some of the leading management institutes offering Distance MBA programs are Symbiosis Center for Distance Learning, Narsee Monji Institute of Management Studies' School for Continuing Education, Sikkim Manipal University Directorate of Distance Education, ICFAIUniversity and IGNOU among others. You can plan your admission by checking out this list of Institutes offering Distance MBA programs across India. You can sort them course-wise and city-wise to suit your requirement.
https://www.shiksha.com/mba/resources/distance-mba-faq#57

ICFAI University, Sikkim Manipal University, Indira Gandhi National University.

Yes it is valid but of no use for getting good jobs. Full-time or part-time MBA is recommended for complete learning exposure for management and leadership.

Yes you are eligible and shall appear for entrance exam like CMAT, MAT, CAT, XAT, SNAP. Although it is advised to go for full-time MBA programme for better paying jobs. I am sending you list for distance MBA in Delhi below.
https://www.shiksha.com/mba/colleges/distance-correspondence-mba-colleges-in-delhi-ncr

Try for executive MBA in Finance management.