To build a responsive application capable of responding to touch events and executed on stateful clients, the developer should use technologies that support modern web standards, responsive design, and touch interactions. The two technologies that meet these requirements are Aura Components and Lightning Web Components. Option A: Aura Components Reference: "The Aura Components programming model is designed to support developing responsive applications for mobile and desktop devices." - Lightning Aura Components Developer Guide Option C: Lightning Web Components "Lightning web components are custom HTML elements built using HTML and modern JavaScript." "Because Lightning web components are based on web standards, they are inherently efficient and deliver exceptional performance." - Lightning Web Components Developer Guide Why Other Options Are Incorrect: Option B: Visualforce Pages Visualforce is a server-side framework that doesn't fully support responsive design or touch events natively. While you can make Visualforce pages responsive using custom code, it doesn't provide built-in support for touch events as effectively as Aura Components or LWC. "Visualforce is a component-based user interface framework for the Force.com platform." - Visualforce Developer Guide Option D: Visualforce Components Visualforce Components are custom components within the Visualforce framework. They inherit the same limitations as Visualforce Pages regarding responsiveness and touch support. "A Visualforce component is either a standard component, provided by the Visualforce framework, or a custom component that you create." - Visualforce Developer Guide