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「どちらにお住まいですか。」

「どちらにお住みですか。」

「どちらに住んでいますか。」

Do all of these questions mean "where do you live?" ? How are they
grammatically different? Is 「住まい 」a conjugated form of the verb 「住む 」?
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2016-03-29T14:05:17.757
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question
grammar
Different conjugations of the verb 住む
There is a good answer in Japanese on
[Okwave](http://okwave.jp/qa/q667021.html) for the difference between phrase 1
and 2.

They all mean the "Where do you live?", but the first two are a condensed form
of keigo, and the third is in standard polite Japanese.

The first is based on the verb 住まう and the second is based on the verb 住む,
which have similar meaning. According to the article I linked,
「どちらにお住まいですか。」is used more often in modern Japanese.
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answer
> 住まう→お住まいですか  
>  住む →お住みですか

住まう has a meaning like 'to continue living'.  
Examples of such expressions include [語]{かた}らう(to continue saying([語]{かた}る))
and [移]{うつ}ろう(to continue changing([移]{うつ}る)).

That is a kind of expressions of a literary style, but お住まいですか is used better
than お住みですか  
because お住みですか is easily confused with お[済]{す}みですか that has the same
pronunciation as it.
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answer