Agile methodology is the correct choice because it explicitly prioritizes accepting evolving requirements and gathering frequent stakeholder feedback throughout the project lifecycle.

Agile methodology relies on short iterations and regular feedback loops such as reviews and retrospectives so teams can adapt scope and priorities based on stakeholder input and changing needs.

Waterfall model is incorrect because it uses a linear, phase based approach with requirements usually fixed up front and it does not emphasize continuous stakeholder involvement or frequent requirement changes.

DevOps is incorrect because it focuses on integrating development and operations to improve deployment speed and reliability rather than being a requirements gathering or feedback driven development methodology.

Iterative development is incorrect in this context because although it uses repeated cycles to refine a product it does not by definition center on continuous stakeholder collaboration and evolving requirements the way Agile methodology does.

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