Base on what rule to elect the designate querier in ICMP v2 network?
physical interface: 10.10.1.1
loopback address: 192.168.2.2
router id: 172.16.3.3
physical interface: 10.10.1.4
loopback address: 192.168.2.5
router id: 172.16.3.6
IGMP and PIM make their decisions based on the LAN interface ip address on a segment by segment (Vlan by Vlan) basis: they lack a concept of router-id like OSPF.
So only FE0/0 ip address is to be taken in account.
Actually, after the exchange with Harold and some refresh of details I think it is the opposite:
IGMPv1 follows PIM so will use highest ip address on the lan subnet
IGMPv2 will use the lowest ip address on the LAN subnet so with IGMPv2 and PIM :
one router is the PIM DR and will represent the segment in the multicast routing topology: it will send PIM join messages towards the RP/source of multicast stream.
The other router is in charge of sending IGMP queries every 60 seconds on the segment: notice that IGMP receivers answers are sent to multicast address 22.214.171.124 all routers on subnets so also the PIM DR is aware of what groups have members on the link.
We can say that in this way there is some job sharing on the two PIM routers.
Hope to help