  We consider the last zero crossing time $T_{\mu,t}$ of a Brownian motion,
with drift $\mu \neq 0$ in the time interval $[0, t]$. We prove the large
deviation principle of $\{T_{\mu \sqrt r t} : r > 0 \}$ as $r$ tends to
infinity. Moreover, motivated by the results on moderate deviations in the
literature, we also prove a class of large deviation principles for the same
random variables with different scalings, which are governed by the same rate
function. Finally we compare some aspects of the classical moderate deviation
results, and the results in this paper.
