The first study is presented of CP violation with an amplitude analysis of the Dalitz plot of B0→DK+π− decays, with D→K+π−, K+K−, and π+π−. 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 γ of the unitarity triangle formed from elements of the Cabibbo-Kobayashi-Maskawa quark mixing matrix. Hadronic parameters associated with the B0→DK∗(892)0 decay are determined for the first time. These measurements can be used to improve the sensitivity to γ of existing and future studies of the B0→DK∗(892)0 decay.5 MoreReceived 11 February 2016DOI:https://doi.org/10.1103/PhysRevD.93.112018This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.© 2016 CERN, for the LHCb CollaborationPhysics Subject Headings (PhySH)Research AreasHadronic decaysPhysical SystemsBottom mesonsParticles & Fields