Axial distances are $\mathrm{a}=\mathrm{b}\ne \mathrm{c}$ and axial angles are $\alpha =90°=\beta \gamma =120°$ in the system.

In hexagonal, two are equal in axial lengths. In axial angles, alpha and beta are 90 degrees but gamma is120 degrees. Therefore, the crystal system is said to be hexagonal.
Hence, the correct option is option (A) hexagonal.