The correct option is
B Both carbon atoms are
sp2 hybridized and the molecule is planar
In the case of ethene, there is a difference from, say, methane or ethane, because each carbon is only joining to three other atoms rather than four. When the carbon atoms hybridise their outer orbitals before forming bonds, this time they only hybridise three of the orbitals rather than all four. They use the 2s electron and two of the 2p electrons, but leave the other 2p electron unchanged.
The new orbitals formed are called
sp2 hybrids, because they are made by an s orbital and two p orbitals reorganising themselves.
sp2 orbitals look rather like
sp3 orbitals that you have already come across in the bonding in methane, except that they are shorter and fatter. The three
sp2 hybrid orbitals arrange themselves as far apart as possible - which is at 120° to each other in a plane. The remaining p orbital is at right angles to them.