  An isoparametric hypersurface in unit spheres has two focal submanifolds.
Condition A plays a crucial role in the classification theory of isoparametric
hypersurfaces in [CCJ07], [Chi16] and [Miy13]. This paper determines $C_A$, the
set of points with Condition A in focal submanifolds. It turns out that the
points in $C_A$ reach an upper bound of the normal scalar curvature
$\rho^{\bot}$ (sharper than that in DDVV inequality [GT08], [Lu11]). We also
determine the sets $C_P$ (points with parallel second fundamental form) and
$C_E$ (points with Einstein condition), which achieve two lower bounds of
$\rho^{\bot}$.
