Final answer:
Person-Centered Therapy was developed during the 1940s as a nondirective reaction against psychoanalysis.
Step-by-step explanation:
The approach that was developed during the 1940s as a nondirective reaction against psychoanalysis is b) Person-Centered Therapy. Person-centered therapy was developed by Carl Rogers and he emphasized the importance of the therapist showing unconditional positive regard, genuineness, and empathy towards the client. This approach focuses on empowering the client to take the lead in therapy and work through their own issues.