  We consider the ground state properties of mixed Bose-Einstein condensates of
87Rb and 85Rb atoms in the isotropic pancake trap, for both signs of the
interspecies scattering length. In the case of repulsive interspecies
interaction, there are the axially-symmetric and symmetry-breaking ground
states. The threshold for the symmetry breaking transition, which is related to
appearance of a zero dipole-mode, is found numerically. For attractive
interspecies interactions, the two condensates assume symmetric ground states
for the numbers of atoms up to the collapse instability of the mixture.
