In-plane resistivity measurements as a function of temperature and magnetic field up to 35 T with precise orientation within the crystallographic ac−plane were used to study the upper critical field, Hc2, of the hole-doped iron-based superconductor Ba1−xKxFe2As2. Compositions of the samples studied were spanning from underdoped x =0.17 (Tc=12 K) and x=0.22 (Tc=20 K), both in the coexistence range of stripe magnetism and superconductivity, though optimal doping x=0.39 (Tc=38.4 K), x=0.47 (Tc=37.2 K), to overdoped x=0.65 (Tc=22 K), x=0.83 (Tc=10 K). We find notable doping asymmetry of the shapes of the anisotropic Hc2(T ) suggesting important role of paramagnetic limiting effects in H a configuration in overdoped compositions and multi-band effects in underdoped compositions.