The mirror image of the curve

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

\arg\left(\frac{z-3}{z-i}\right) = \frac{\pi}{6}

i = \sqrt{-1}

in the real axis, is (1)

\arg\left(\frac{z+3}{z+i}\right) = \frac{\pi}{6}

(2)

\arg\left(\frac{z-3}{z+i}\right) = \frac{\pi}{6}

(3)

\arg\left(\frac{z+i}{z+3}\right) = \frac{\pi}{6}

(4)

\arg\left(\frac{z+i}{z-3}\right) = \frac{\pi}{6}