# Solve the following

Question:

If x < 0 is a real number, then arg (x) = ____________.

Solution:

If x < 0

i.e z = x + i 0 and is negative

$\Rightarrow \theta=\tan ^{-1}\left|\frac{0}{x}\right|=\tan ^{-1} 0=0$

Hence, $z$ lies in II quadrant chg $z=\pi$.