The paths of zeros of the low-energy K-π scattering amplitudes {Mathematical expression} and {Mathematical expression} are examined in a simple K* and ρ dominance model, where it is found that the roles of PCAC zero, K* and ρ Legendre zero, and double-pole-killing zero are played by the same zero-contour in the (s, t, u)-plane, an ellipse for the first amplitude, an ellipse plus the line s=u for
... [Show full abstract] the second one. The behaviour of these zero-contours in the u-channel physical region is studied in comparison with the experimental zeros determined from the K+π-→K+π- and K+π0→K0π- scattering results, and it is found that up to the K* mass region the elliptic contour of {Mathematical expression} is essentially unaffected by unitarity, whilst the elliptic contour of {Mathematical expression} is slightly more sensitive to such constraints. A comparison with the behaviour of the zeros of the corresponding π-π amplitudes {Mathematical expression} and {Mathematical expression} is also performed.