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We present preliminary results of improved measurements of the CP-violatingasymmetries and branching fractions in the decays B0 -> pi+ pi-, B0 -> K+ pi-,B0 -> pi0 pi0, and B0 -> K0 pi0. This update includes all data taken at theY(4S) resonance by the BaBar experiment at the asymmetric PEP-II B-mesonfactory at SLAC, corresponding to 467 +- 5 million BBbar pairs. We find  Spipi = -0.68 +- 0.10 +- 0.03,  Cpipi = -0.25 +- 0.08 +- 0.02,  AKpi = -0.107 +- 0.016 +0.006-0.004,  Cpi0pi0 = -0.43 +- 0.26 +- 0.05,  BF(B0 -> pi0 pi0) = (1.83 +- 0.21 +- 0.13) x 10^-6, BF(B0 -> K0 pi0) = (10.1+- 0.6 +- 0.4) x 10^-6, where the first error is statistical and the second issystematic. We observe CP violation with a significance of 6.7 sigma in B0 ->pi+ pi- and 6.1 sigma in B0 -> K+ pi-. Constraints on the Unitarity Triangleangle alpha are determined from the isospin relation between all B -> pipirates and asymmetries.

Measurement of CP Asymmetries and Branching Fractions in B0 -> pi+ pi-,  B0 -> K+ pi-, B0 -> pi0 pi0, B0 -> K0 pi0 and Isospin Analysis of B -> pi pi  Decays