The correct option is B dxy,dyz,dzx and dx2−y2,dz2
In a coordination entity with six ligands surrounding the metal atom/ion, there will be repulsion between electrons in metal’s d-orbitals and electrons (or negative charge) of the ligands.
In octahedral complex formation, ligands approach from/towards the axes. Thus, the orbitals present towards the axes will be repelled greater than the orbitals present between the axes.
The orbitals dx2−y2 and dz2 lying along the axis and the lobes of orbitals dxy, dyz and dxz are directed between the axis.
As a result, dx2−y2 and dz2 orbitals energy are increased anddxy, dyz and dxz are decreased.
Thus, the splitting of degenerated d-orbitals takes place as dx2−y2, dz2 and dxy, dyz,dxz
Hence, option (b) is correct.