If z is complex number of unit modulus a...

If z is complex number of unit modulus and argument `theta,"then arg " (1+z)/(1+z)` equals-

A

`-theta`

B

`(pi)/(2)-theta`

C

`theta`

D

`pi-theta`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If z is a complex number of unit modulus and argument theta then arg((1+z)/(1+zbar)) equals

If z=-i-1 is a complex number,then arg (z) will be

Let z, omega be complex numbers such that barz+ibaromega=0 and arg(z omega)=pi , then arg z equals

If z_1,z_2 are conjugate complex numbers and z_3,z_4 are also conjugate, then arg(z_3/z_2)-arg(z_1/z_4) is equal to

Z is a complex number. If I Z l = 4 and arg(Z)=(5pi)/6 ,then the value of Z is

Let z be a complex number having the argument theta , 0 < theta < pi/2 , and satisfying the equation |z-3i|=3. Then find the value of cottheta-6/z

Find modulus and argument of the complex numbers z=-sqrt(3)+i

Find modulus and argument of the complex numbers z=-1-isqrt(3)

Let z be a complex number such that the principal value of argument, argzgt0 . Then argz-arg(-z) is

If z and w are two non-zero complex numbers such that |z| =|w|and arg z + arg w =pi, then the value of z is equal to-