If z=-1-i, then z is - Vidyadip

MCQ

If $z=-1-i$, then $\arg z$ is

A
$\frac{\pi}{4}$
B
$\frac{5 \pi}{4}$
✓
$-\frac{3 \pi}{4}$
D
$\frac{7 \pi}{4}$

✓

Answer

Correct option: C.

$-\frac{3 \pi}{4}$

(C)
$z=-1-i$
$\therefore \quad a=-1$ and $b=-1$
Here, $a <0, b<0$
$\arg z=\tan ^{-1}\left(\frac{b}{a}\right)-\pi=\frac{\pi}{4}-\pi=-\frac{3 \pi}{4}$

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