Home
Class 11
MATHS
Let z!=i be any complex number such that...

Let `z!=i` be any complex number such that `(z-i)/(z+i)` is a purely imaginary number. Then `z+ 1/z` is

A

0

B

Any non-zero real number

C

A purely imaginary number

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to

Find all complex numbers z for which (z-2)/(z+2) is purely imaginary.

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

If z_1,z_2 are complex numbers such that, (2z_1)/(3z_2) is purely imaginary number then find |((z_1-z_2)/((z_1+z_2))| .

If z_(1),z_(2) are complex number such that (2z_(1))/(3z_(2)) is purely imaginary number,then find |(z_(1)+z_(2))/(z_(1)+z_(2))|

If (z+1)/(z+i) is a purely imaginary number (where (i=sqrt(-1) ), then z lies on a