jee-main 2022 Q63

jee-main · India · session1_25jun_shift2 Complex Numbers Argand & Loci Locus Identification from Modulus/Argument Equation
Let $z_1$ and $z_2$ be two complex numbers such that $\bar{z}_1 = i\bar{z}_2$ and $\arg\frac{z_1}{\bar{z}_2} = \pi$, then the argument of $z_1$ is
(1) $\arg z_2 = \frac{\pi}{4}$
(2) $\arg z_2 = -\frac{3\pi}{4}$
(3) $\arg z_1 = \frac{\pi}{4}$
(4) $\arg z_1 = -\frac{3\pi}{4}$
Let $z_1$ and $z_2$ be two complex numbers such that $\bar{z}_1 = i\bar{z}_2$ and $\arg\frac{z_1}{\bar{z}_2} = \pi$, then the argument of $z_1$ is\\
(1) $\arg z_2 = \frac{\pi}{4}$\\
(2) $\arg z_2 = -\frac{3\pi}{4}$\\
(3) $\arg z_1 = \frac{\pi}{4}$\\
(4) $\arg z_1 = -\frac{3\pi}{4}$