In AngularJS, expressions can be used to directly control the style of a DOM element. By binding expressions to style properties, developers can dynamically update the appearance of elements based on changing data or user interactions. This flexibility in manipulating styles enhances the responsiveness and interactivity of AngularJS applications.

Two-way data binding in AngularJS is achieved using the ng-model directive. This directive establishes a two-way binding between the HTML elements and the model data. When the data in the model changes or when the user interacts with the HTML elements, the changes are automatically reflected in both directions, providing a seamless and dynamic user experience. Understanding how to use ng-model is essential for efficient data synchronization in AngularJS applications.

Two-way Data Binding is the AngularJS feature that automatically synchronizes data between the model and view layers. With two-way data binding, changes in the model are immediately reflected in the view, and user input in the view updates the model accordingly. This bidirectional communication simplifies the code and reduces the need for manual DOM manipulation, leading to more maintainable and efficient AngularJS applications.

Two-way data binding in AngularJS means bidirectional data flow. It allows automatic synchronization of data between the model (data) and the view (UI) in both directions. When data in the model changes, the view is updated, and vice versa. This feature simplifies the code and enhances the developer's ability to manage and update the UI based on changes in the underlying data, providing a more efficient and responsive user interface.

AngularJS expressions can indeed contain conditional (ternary) operators, allowing developers to write concise conditional logic within expressions. This feature enhances the flexibility and readability of AngularJS code when dealing with dynamic data and user interactions.

The primary purpose of a controller in AngularJS is to handle user interactions. Controllers are responsible for receiving user input, processing it, and updating the model and view accordingly. They act as the bridge between the model (data) and the view (UI), facilitating the separation of concerns in the application's architecture. Understanding the role of controllers is crucial for building responsive and interactive AngularJS applications.

For event handling in AngularJS, the ng-click directive is used to bind a function or expression to the click event of an HTML element. When the element is clicked, the specified function is executed. This declarative approach to event handling simplifies the code and enhances maintainability in AngularJS applications. Understanding ng-click is fundamental for implementing interactive and responsive user interfaces.

AngularJS ensures efficient data binding without performance degradation in scenarios with large datasets through Virtual DOM optimization. The Virtual DOM is a lightweight copy of the actual DOM that AngularJS uses to minimize DOM manipulations. Changes are first made to the Virtual DOM, and AngularJS smartly updates only the necessary parts of the actual DOM, reducing the impact on performance and improving the overall user experience. Understanding this optimization technique is crucial for handling large datasets in AngularJS applications.

AngularJS's two-way data binding automatically synchronizes data between the model and the view. Unlike the traditional MVC model where data synchronization often involves explicit code in the controller, AngularJS simplifies this process by automatically updating the view when the model changes and vice versa. Understanding the mechanics of two-way data binding is crucial for building responsive and dynamic user interfaces in AngularJS.

Improper use of $scope, such as creating unnecessary $watch expressions, can lead to memory leaks in AngularJS applications. When $watch expressions are not properly cleaned up, they continue to hold references to objects, preventing them from being garbage collected. This can result in a buildup of unused objects in memory, leading to performance issues and potential memory leaks. Understanding proper $scope usage is crucial for avoiding such issues in AngularJS development.