Which two houses were in conflict during the War of the Roses?

The conflict during the War of the Roses was primarily between the York and Lancaster houses, which were two branches of the royal Plantagenet family. This series of civil wars took place in England during the 15th century and was characterized by a struggle for power over the English throne.

The Yorkists, represented by the white rose, sought to claim the throne from the Lancastrians, who bore the red rose as their symbol. The War of the Roses saw a series of battles and political machinations, as both houses jockeyed for control over the monarchy, leading to significant shifts in power and numerous changes in leadership. Ultimately, the conflict concluded with the rise of the Tudor dynasty, which firmly established its claim to the throne through Henry VII, marking the end of the continuous warfare.

The other choices involve different historical houses or dynasties not directly related to this specific conflict in England. The Plantagenets are indeed the broader family of which York and Lancaster are branches, while the Capetians and Valois relate to French royal houses, and Stuart and Hanover pertain to later monarchies in Britain. Hence, the direct conflict in the War of the Roses was specifically between the houses of York and Lancaster.