Inquiry which follows a course determined by one discovery growing out of another is called :

Correct option is D

Open Inquiry.
Open inquiry is an approach to learning that is driven by curiosity and exploration. It does not follow a predetermined path, but instead, it allows the learner to pursue their own interests and questions. As the learner makes discoveries, they may adjust their inquiry to follow new leads and explore new directions. This open-ended approach to learning is often contrasted with closed inquiry, which follows a more structured and predetermined path.