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+i}{z-1}\right) = \frac{\pi}{4}

i = \sqrt{-1}

in the line

x - y = 0

, is (1)

\arg\left(\frac{z+i}{z+1}\right) = \frac{\pi}{4}

(2)

\arg\left(\frac{z+1}{z-i}\right) = \frac{\pi}{4}

(3)

\arg\left(\frac{z-i}{z+1}\right) = \frac{\pi}{4}

(4)

\arg\left(\frac{z+i}{z-1}\right) = \frac{\pi}{4}