Optical activity in a coordination compound arises when the compound is non-superimposable on its mirror image, i.e., it lacks symmetry. The \(\text{cis}-[\text{Co}(en)_2\text{Cl}_2]^+\) complex is optically active because of its asymmetric structure. However, the \(\text{trans}-[\text{Co}(en)_2\text{Cl}_2]^+\) complex is optically inactive because of its symmetry (the opposite chloride ions are opposite each other, making it symmetrical). Therefore, the correct answer is (C).