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In EIGRP, the passive route status in the topology table indicates a route to a network that is not an EIGRP neighbor, while the active route status indicates a route to a network that is being actively queried and computed by the EIGRP router as a potential successor for the routing table.
It is a backup route that is stored in the topology table.
The backup table will be searched.
Neighbor Table, topology and feasible successor
The EIGRP topology table is a database that stores the network topology information learned by the EIGRP routing protocol. It contains details about neighboring routers, their IP addresses, metric values, and the network paths to reach destination networks. This information is used to calculate the best routes to different destinations in the network.
Query neighbours for new route and search topology table for a feasible successor
EIGRP
By propagating only routing table changes and hello packets
R1 will install an EIGRP route using network B in its routing table because the administrative distance of EIGRP is lower than RIP.
The neighbor and topology tables are used by DUAL to build the routing table.
the path learned via EIGRP
When you have multiple routing protocols running (e.g. RIP, OSPF, EIGRP), the one with the lowest administrative distance is used for the routing table. The metric is different; it's used within the routing protocol to determine which route is best to a certain network. EIGRP has a AD of 90. RIP has an AD of 120. Since EIGRP has a lower AD, it will be used for the routing table.