Hi

Want to know the names of the institutes offering distance learning in fashion designing in india.

Why do you wish to do distance learning, when there are good fashion designing schools.
Fashion designing is not that easy to learn from books or online.
You need instructors who will guide you in all the processes involved, drawing,art,fabrics,final presentations etc.

Here is a link,but I don't think it is an Indian one.
distance learning, free tutorial in fashion designing, haute couture-CAD

Here is an Indian one,but I am not sure they teach "distance learning"
Graphic Design School India,2D/3D Animation Training,Fashion Designing Studies in Ahmedabad,Gujarat

Fashion Designing India, Fashion Designer Training Class Ahmedabad Gujarat, India - Varia Design

Free online fashion designing course