Which power allows members to appoint a proxy?

The correct choice regarding the power that allows members to appoint a proxy is based on the concept of members' rights. In corporate governance, members, or shareholders, have the fundamental right to participate in the decision-making process of a company. This includes the right to attend meetings and vote on key issues. However, if a member cannot attend a meeting in person, they can appoint a proxy to represent them and vote on their behalf.

This right to appoint a proxy is typically outlined in the articles of association of a company and is considered an integral part of members' rights. It ensures that shareholders can still have their voices heard even when they cannot be physically present, aiding in the protection of their interests and maintaining shareholder engagement.

The other options do not specifically grant the authority for proxy appointment: although members powers could imply a broader scope of authority, it does not directly define the critical right of proxy appointment. Company resolutions involve decisions made through voting, but they do not inherently include the mechanism for appointing a proxy. Directors' authority pertains to powers conferred onto the board of directors, which is separate from the rights held by members or shareholders.