Question

Let z be a complex number (not lying on x - axis) of mum modulus such that |z + 1/z| = 1. Then, (a) Im (z) = 0 (b) Re (z) = 0 (c) amp (z) = ???? (d) none of these

Answer 1

Step-by-step explanation:

∣

∣

∣

∣

∣

z+5i

z−5i

∣

∣

∣

∣

∣

=1⇒∣z−5i∣=∣z+5i∣

(Using definition ∣z−z

1

∣=∣z−z

2

∣ given Perpendicular bisector of z

1

and z

2

.)

⇒ Perpendicular bisector of points (0,5) and (0,−5).

Which lies on x-axis.

solution