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 parliaments limits on their power.

Explanation:

This refers to the Glorious Revolution of 1688, where Parliament invited William and Mary to take the English throne to establish a constitutional monarchy, which required them to accept limits on royal power (later formalized in the Bill of Rights 1689). The other options are historically incorrect: William and Mary were Protestant, there was no childlessness condition, and they ruled from England, not Holland.

Answer:

accept Parliament's limits on their power.