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?`

(i)If z is a complex no.such that |z|=1; prove that (z-1)/(z+1) is purely imaginary.what will be the conclusion if z=1 (ii) Find real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real

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

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to

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

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

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

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