The 'pathMatch' property in Angular router configurations is used to define how the router should match the URL path. When set to 'full', it requires an exact match of the path segment, ensuring that the URL path must match the route path entirely for the route to activate. This is useful for defining routes with empty path or catch-all routes.

To configure proxies for handling CORS issues during development in an Angular CLI project, you would modify the proxy.conf.json file. This file allows you to define proxy rules for routing requests to different backend servers, helping you bypass CORS restrictions.

In reactive forms, you can listen for changes on a form control by subscribing to its "valueChanges" observable. This allows you to track changes in the value of the form control over time. The other options do not represent the correct observables to listen for changes on a form control in reactive forms.

A child component can emit an event to inform its parent component by using @Output and emitting an event that the parent component can subscribe to. Directly modifying the parent component's properties from the child component is not a recommended practice. Calling a predefined function like emitEvent() is not a standard Angular approach. Using services can facilitate communication between components but is not the direct way for a child to inform its parent about an action.

The catchError operator in RxJS is used to handle errors that occur in an Observable sequence. It allows you to gracefully handle errors and continue the sequence or provide fallback behavior.

The ngOnChanges lifecycle hook in Angular is primarily used to detect changes in input data bound to a component. It is triggered whenever input properties of the component change. This hook is valuable for responding to changes in input data and taking appropriate actions based on those changes. The other options are not the primary purpose of this hook.

In template-driven forms, the [ngModel] directive is used to track the state and validity of form controls. It allows you to access information about the control's state, such as whether it's valid, touched, or dirty. This is crucial for implementing form validation and displaying error messages based on the control's state. The other options, [formGroup] and [formControl], are typically used in reactive forms.

The blank should be filled with "loadChildren." In Angular, lazy loading is achieved by using the loadChildren property in the route configuration. This property specifies the path to the module that should be loaded lazily when the associated route is activated, improving application performance.

If a service is provided in a lazy-loaded module's providers array, the service instance will be created when the lazy-loaded module is loaded. Lazy-loaded modules are loaded on-demand, so their services are also instantiated when the module is accessed. This can help reduce unnecessary service instantiation and improve application performance.

The primary purpose of the RouterOutlet directive in Angular is to act as a placeholder for route content. It is used in the template to determine where the routed components should be displayed within the layout. This is essential for rendering the correct component when navigating between routes. The other options do not accurately describe the role of RouterOutlet in Angular.

To optimize performance in Angular applications, especially when dealing with large lists and immutable data, you should use the ChangeDetectionStrategy.OnPush strategy. This strategy minimizes change detection cycles by only checking components when their inputs change. It can significantly improve performance. The other options are not valid strategies for optimizing change detection.

To capture changes in the @Input() property, one should implement the OnChanges interface. The OnChanges lifecycle hook provides a method, ngOnChanges, which is called whenever any of the input properties of a component change. This allows you to react to input changes.