Option 1 -> India's indigenous launch facility at Sriharikota was not used for Aryabhatta as it was still under development in 1975.
Option 2 -> Kennedy Space Centre is a US launch facility; India did not launch its first satellite from the United States.
Option 3 -> Aryabhatta was launched from the Soviet Union's Kapustin Yar Cosmodrome on April 19, 1975, using a Soviet Cosmos-3M rocket.
Option 4 -> Kourou is the European Space Agency's launch site in French Guiana; it was not used for Aryabhatta's launch.
Hence, Option 3 (Russian Rocket Launching Station, Cosmodrome) -> India's first satellite Aryabhatta was built by ISRO but launched with Soviet assistance as India did not yet have its own launch vehicle capability in 1975. The satellite was named after the ancient Indian mathematician and astronomer -> correct