Is there a correct way to ask about your family background/ ethnicity/whatever? For context, I am a white English-seeming (but not actually) person in London.
I never ask, as I don't want to offend, however I am often quite curious. Not because I doubt anyone's claim to being British - most British Indians are likely more British than I am. Usually, I just want to talk about food, ask if you've been to India, hear your life experiences, reminisce about when I visited India, etc.
One of my favourite work relationships was with an older Indian man who, when he found out I was vegetarian and liked Indian food, he would bring me food his wife had made and give me recipes to cook myself. Sadly he died of Covid, but I still cook the recipes he gave me often - albeit with less ghee.
I feel like it's a little sad that racists have made it hard to talk about any issue touching on ethnicity without worrying that one may be coming from a place of hatred or aggression. My girlfriend is a Filipina so I can pick up the accent, and when I was making small talk with someone I asked if they were from the Philippines. They said yes, but instantly clammed up and didn't really talk to me for the rest of the interaction. But hey, I'm autistic so maybe I'm misunderstanding what I did wrong.