  An analysis of B0->D K*0 decays is presented, where D represents an admixture
of D0 and D0b mesons reconstructed in four separate final states: K-pi+, pi-K+,
K+K- and pi+pi-. The data sample corresponds to 3.0fb-1 of proton-proton
collision, collected by the LHCb experiment. Measurements of several
observables are performed, including CP asymmetries. The most precise
determination is presented of rB(DK*0), the magnitude of the ratio of the
amplitudes of the decay B0->D K+ pi- with a b->u or a b->c transition, in a K
pi mass region of +/-50 MeV/c2 around the K*(892) mass and for an absolute
value of the cosine of the K*0 helicity angle larger than 0.4.
