Final answer:
Client-centered therapy was developed in the 1940s as a non-directive reaction against psychoanalysis. It emphasizes the client's role in therapy and the therapist's display of genuineness and empathy.
Step-by-step explanation:
The approach that was developed during the 1940s as a non-directive reaction against psychoanalysis is b) Client-centered therapy. Client-centered therapy, developed by Carl Rogers, emphasizes the importance of the therapist providing genuineness, empathy, and unconditional positive regard to the client. This approach allows the client to take a lead role in the therapy session and work through their own issues.