If x + iy such that |z +1| = |z –1| and complex z-1/z+1 = π/4 then ​

Question

If x + iy such that |z +1| = |z –1| and complex \(\frac{z -1}{z+1} = \frac \pi 4\) then

a. x = √2 + 1, y = 0

b. x = 0, y = √2 + 1

c. x = 0, y = √2 – 1

d. x = √2 – 1, y = 0

Answer 1

Correct option is b. x = 0, y = √2 + 1