"Basic and Applied" is indeed one of the categories of research by purpose.
It encompasses research that seeks to increase fundamental knowledge (basic research) as well as research aimed at solving practical problems or developing new technologies (applied research).
Basic Research: This type of research aims to increase our understanding of fundamental principles and concepts without necessarily having immediate practical applications.
Applied Research: Applied research is conducted to solve specific practical problems or to address practical questions. It seeks to directly contribute to solving real-world issues or improving processes.
Action Research: Action research is a form of applied research that focuses on solving specific problems within a particular context, often through collaboration with stakeholders and implementing interventions to bring about change.