I think your are confused. It is not an Indian custom to cover a woman's face. The majority of those in India are Hindus who need not cover their faces.
However, in the Muslim world, many women are under pressure to wear the burka, The burka usually cover the faces of women.
In Afghanistan, women are forced to cover their faces. Muslims in Europe, US, Middle East, Asia and even the Muslim minority India do sometimes cover their faces. Though not all Muslim women do that.
France has now banned the burka.
Personally, I don't approve of the burka, because it hinders normal communication.
How is a woman going to eat in public? I don't find anything wrong with the bodies our creator gave us. I think we should be happy with it.