Number of unimodular complex number whic...

Number of unimodular complex number which satisfies the locus arg `((z-1)/(+i))=(pi)/(2)` is

A

0

B

1

C

2

D

3

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Argument of the complex number (tan 1-i)^(2) is

If z=x+iy is a complex number such that |z|=Re(iz)+1 , then the locus of z is

Represent the complex number z=1+i in the polar form.

Consider the complex number z=3+4i . Write the conjugate of z.

If z_(1) and z_(2) are two complex numbers satisfying the equation |(z_(1) + iz_(2))/(z_(1)-iz_(2))|=1 , then (z_(1))/(z_(2)) is

The argument of the complex number ((i)/(2) - (2)/(i)) is equal to a) (pi)/(4) b) (3 pi)/(4) c) (pi)/(12) d) (pi)/(2)

If z is a complex number such that Re (z) = Im (z), then :

The modulus of the complex number z such that |z+3-i| = 1 and arg(z) = pi is equal to