  We study time reversal symmetry breaking superconductivity with $\Delta_k =
\Delta_{x^2-y^2} (k) +e^{i\theta} \Delta_{\alpha}$ ($\alpha = s$ or $d_{xy}$)
symmetries. It is shown that the behavior of such superconductors could be {\em
qualitatively} different depending on the minor components ($\alpha$) and its
phase at lower temperatures. It is argued that such {\em qualitatively
different} behaviors in thermal as well as in angular dependencies could be a
{\em source} of consequences in transport and Josephson physics.
Orthorhombicity is found to be a strong mechanism for mixed phase (in case of
$\alpha = s$). We show that due to electron correlation the order parameter is
more like a pure $d_{x^2-y^2}$ symmetry near optimum doping.
