Final answer:
The architectural center of Hadoop and provides resource management and a central platform for Hadoop applications is YARN.
Step-by-step explanation:
The component of the Hortonworks Data Platform (HDP) that serves as the architectural center of Hadoop and provides resource management and a central platform for Hadoop applications is YARN (Option B).
YARN stands for Yet Another Resource Negotiator and is responsible for managing and allocating resources across the cluster. It separates the resource management and job scheduling/monitoring functions in Hadoop, allowing multiple applications to run simultaneously on the same cluster.
For example, YARN manages the resources for running MapReduce jobs and other distributed processing frameworks in Hadoop.