The colour of a metal ion in solution is due to the presence of partially filled d-orbitals that can absorb light in the visible region.
- Ti\(^{4+}\) has no d-electrons and therefore does not absorb light in the visible region, making it colourless.
- Fe\(^{2+}\) and Fe\(^{3+}\) both have partially filled d-orbitals, which absorb light in the visible region and give the solutions a colour.
Thus, the correct answer is option (A).