Home
Class 11
MATHS
If z is purely real and Re(z) < 0, then ...

If z is purely real and Re(z) < 0, then Arg(z) is

A

0

B

pi

C

`-pi`

D

frac{pi}{2}

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If z is a complex number such that frac{z-1}{z+1} is purely imaginary, then

If ( frac{z-1}{z+1} ) is a purely imaginary number (z != -1), then find the value of abs(z)

If alpha is a real number such that z-i(alpha) is real and z=frac{11-3i}{1+i} , then the value of alpha is

Let z be any complex number such that the imaginary part of z is non zero and a = z^2+z+1 is real. Then a cannot take thevalue

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: The real part of (z + 1) / (z + i) is 1

Select and write the correct answer from the given alternatives in each of the following: The complex number z is purely imaginary if,

For any two complex numbers, z_1 and z_2 , prove that Re( z_1 z_2 ) = [(Re( z_1 ). Re( z_2 )] - [Im( z_1 ). Im( z_2 )]

If frac{z-i}{z+i}(z ne -i) is a purely imaginary number, then z.barz is equal to

If frac{2z_1}{3z_2} is a purely imaginary number, then abs(frac{z_1-z_2}{z_1+z_2}) =

If z = x + i y and P represents z in the Argands plane. Find the locus of P when: (z - i) / (z - 1) is purely imaginary.