[google.com...]
You can often add the exact location to a query to bring up the ad.
For instance, if you were bidding on 'widget' targeted to Los Angeles, the queries:
Los Angeles widgets
Los Angeles, California, widgets
could trigger your ad.
To determine if an ad is running, Google's ad diagnostic tool does allow querying to a specific geo location, however, it won't show you the other ads on the search page.