Question

parliament invited william and mary to take the english throne on the condition that they
convert to catholicism.
promise not to have children.
promise to stay at home and rule from holland.
accept parliament’s limits on their power.

Explanation:

During the Glorious Revolution in England, Parliament invited William and Mary to take the throne. The key was to establish a constitutional monarchy. Converting to Catholicism was not the condition as there were religious tensions (Protestant - Catholic). Promising not to have children was not a relevant condition. Staying in Holland and ruling was also not the case. The main condition was that they accept Parliament's limits on their power, which was a crucial step in curbing royal absolutism and enhancing parliamentary authority.

Answer:

accept Parliament's limits on their power.