The correct answer is B. The question specifies the need for HTTPS with TLS certificates that implement Elliptic Curve Cryptography (ECC) and the offloading of TLS connections to a load balancer. An Application Load Balancer (ALB) is designed to handle HTTP/HTTPS traffic and can offload SSL/TLS processing, which is exactly what is needed here. Option B correctly suggests provisioning an ALB, configuring an HTTPS listener with an ECC SSL certificate from AWS Certificate Manager (ACM), and setting up health checks. AWS Certificate Manager (ACM) is the correct service to use for managing SSL/TLS certificates in AWS, not IAM. Option A suggests using a Network Load Balancer (NLB) with a TLS listener, but NLBs are more suited for TCP/UDP traffic and do not natively support HTTPS listeners or the advanced routing features of ALBs. Option C incorrectly suggests using a Network Load Balancer and enabling application-based session affinity, which is not a feature of NLBs. Option D incorrectly suggests using IAM for SSL/TLS certificates, which is not the correct service for this purpose.