Beta V was the fifth planet in its system. This system was located in the Alpha Quadrant.
Beta V appeared in the starchart Data and Picard were studying in Stellar Cartography in 2371. (Star Trek Generations, display graphic)
The star chart seen in "Generations" depicted the location of planets, stars, and star systems in the Alpha Quadrant. Based on the dimensions of the circles used to mark locations on the star chart seen in "Generations", this planet was located relatively far to the USS Enterprise-D.
This planet might be located in either the Beta system, the C-111 system, or in another system not identified in canon.