Dear Sirs,
I'd like to ask you some questions about the sentences starting with "Would you mind if...?"
I often see the sentences like "Would you mind
if I...?" (ex. "Would you mind if I sat here?")
But what about "Would you mind if
YOU...?"
(1) Would you mind closing the door?
(2) Would you mind
if you closed the door?
Both seem to be grammatically correct, but for some reason or other
I seldom see this type of request with "
YOU" the subject of an "if-clause".
It seems to me that, in this case, a gerund often comes after "Would you mind", not an "if clause."
Are there any specific reasons?
Which of the two sentences sounds more polite to you, (1) or (2)?
Would you mind answering these questions?

TIA.
Best Regards,
orzorz