If `|z/| barz |- barz |=1+|z|,` then prove that `z` is a purely imaginary number.

if z-bar(z)=0 then z is purely imaginary

If z is a normal complex for which |z| = 1 , prove that frac (z-1)(z+1) is a purely imaginary number.

The complex number z is purely imaginary,if

If |z+barz|+|z-barz|=2 , then z lies on

If |z+barz|+|z-barz|=8 , then z lies on

If the ratio (1-z)/(1+z) is purely imaginary, then

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

If |z+barz|=|z-barz| , then value of locus of z is

If z is a complex number such that |z|=1 prove that (z-1)/(z+1) is purely imaginary,what will by your conclusion if z=1?

If the number (z-1)/(z+1) is purely imaginary, then