reCAPTCHA API works by collecting hardware and software information, such as device and application data, and sending these data to Google for analysis. The information collected in connection with your use of the service will be used for improving reCAPTCHA and for general security purposes. It will not be used for personalized advertising by Google.
Under EU Privacy Laws you have the right to request that Google remove the information they hold on you. To do so, visit their Personal Information Removal Request Form.