Rixx (location)
Rixx was a location on Betazed that was home of the Sacred Chalice of Rixx, an heirloom held by Ambassador Lwaxana Troi. ()

Rixx was a location that served as the home of the Pleasure Goddess of Rixx in the holosuite series that includes: "A Picnic with the Pleasure Goddess of Rixx", "A Visit with the Pleasure Goddess of Rixx". ()

Background information 
According to Star Trek: Star Charts (p. 33), Rixx was the capital city of Betazed.

According to StarTrek.com, Rixx was the name of a planet, stating it is unknown if there is a connection to the Sacred Chalice of Rixx. The planet's theology was described as being partly hedonistic. 

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Locations