arg(−1 − i) = $\frac{\pi}{4}$, where $i = \sqrt{-1}$

B

The function $f : \mathbb R \to (− \pi , \pi ]$, defined by $f (t) $ = arg $(−1 + it )$ for all $t \in \mathbb R$ , is continuous at all points of $\mathbb R$, where $ i = \sqrt{−1}$

C

For any two non-zero complex numbers $z_1$ and $z_2, arg \left(\frac{z_1}{z_2}\right) - arg (z_1) + arg (z_2)$ is an integer multiple of $2 \pi $

D

For any three given distinct complex numbers $z_1, z_2$ and $z_3$, the locus of the point $z$ satisfying the condition $arg \left( \frac{(z - z_1)(z_2 - z_2)}{(z - z_3)(z_2 - z_1)}\right) = \pi $, lies on a straight line

The line of intersection of $P_1$ and $P_2$ has direction ratios 1, 2, −1

B

The line $\frac{3x - 4}{9} = \frac{1 - 3y}{9} = \frac{z}{3}$ is perpendicular to the line of intersection of $P_1$ and $P_2$

C

The acute angle between $P_1$ and $P_2$ is $60^{\circ}$

D

If $P_3$ is the plane passing through the point (4, 2, −2) and perpendicular to the line of intersection of $P_1$ and $P_2$, then the distance of the point (2, 1, 1) from the plane $P_3$ is $\frac{2 }{\sqrt{3}}$