Final answer:
In a FastEthernet connection, data is transmitted by a router on pins 1 and 2 of the twisted pair cable, following TIA/EIA 568A or 568B standards.
Step-by-step explanation:
In a FastEthernet connection, a router transmits data on pins 1 and 2. FastEthernet, which refers to Ethernet connections with a speed of 100 Mbps, uses a twisted pair cable for data transmission. Typically, the transmission happens on pins 1 and 2, whereas pins 3 and 6 are used for receiving data in a standard network cable setup which follows the TIA/EIA 568A or 568B standards.