Question

The geocentric model of the universe states that

the sun is the center of the solar system
the Earth is the center of the universe
the moon is the center of the solar system
the solar system has no center

Answer 1

The geocentric model states that the Earth is at the center of the universe (or galaxy, rather) and the other celestial bodies are in circular orbit around it. This is, of course, entirely false. The Earth is not the center and few orbitals are entirely circular. The heliocentric model (Copernicus model) of the universe has the Sun as the center of the universe (or galaxy, rather).

Answer 2

The geocentric model states that the Earth is the center of the solar system. (This was later challenged with the Copernicus model with the sun in the center).