The first study is presented of CP violation with an amplitude analysis of the Dalitz plot of B-0 -> DK+pi(-) decays, with D -> K+pi(-), K+K-, and pi(+)pi(-). The analysis is based on a data sample corresponding to 3.0 fb(-1) of pp collisions collected with the LHCb detector. No significant CP violation effect is seen, and constraints are placed on the angle gamma of the unitarity triangle formed from elements of the Cabibbo-Kobayashi-Maskawa quark mixing matrix. Hadronic parameters associated with the B-0 -> DK*(892)(0) decay are determined for the first time. These measurements can be used to improve the sensitivity to gamma of existing and future studies of the B-0 -> DK*(892)(0) decay.
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