The values of z for which abs(z+i)=abs(z...

The values of z for which `abs(z+i)=abs(z-i)` are

A

any real number

B

any complex number

C

any natural number

D

any integer

Verified by Experts

Similar Questions

Explore conceptually related problems

The locus of the point representing the complex number z for which abs(z+3)^2-abs(z-3)^2 = 15 is

Prove that the points representing the complex number z for which abs(z+3)^2 - abs(z-3)^2 = 26 lie on a line

Find the equation in cartesian co-ordinates of the locus of z if frac{abs(z+3i)}{abs(z+6i)} =1

Find the equation in cartesian co-ordinates of the locus of z if abs(z-2-2i) = abs(z+2+2i)

Find the equation in cartesian co-ordinates of the locus of z if abs(z-8) = abs(z-4)

The value of abs(z-5) , if z = x+iy is

For any non zero complex number z, the minimum value of abs(z)+abs(z-1) is

The maximum value of abs(z) when z satisfies the condition abs(z-frac{2}{z}) = 2

Find the maximum value of abs(z) when abs(z-frac{3}{z}) = 2 , z being a complex number

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.