B'rq was a Federation world, an inhabited planet somewhere in the galaxy's Alpha or Beta Quadrants. Among Federation members, B'rq was considered a small world with regards to its importance. (PIC novel: The Last Best Hope)
History
In the 2380s decade, the Federation had promised a transporter link between B'rq's two hemispheres. In the year 2384, Federation Councillor Olivia Quest pondered whether the transporter link would actually be built, due to the lack of support for worlds like B'rq, Nytis and t'Lottei because resources were tied up in Starfleet's Romulan relocation program. (PIC novel: The Last Best Hope)