If z is a unimodular number `(!=+-i)` then `(z+i)/(z-i)` is (A) purely real (B) purely imaginary (C) an imaginary number which is not purely imaginary (D) both purely real and purely imaginary

The complex number z is purely imaginary,if

p,q are cube roots of i,which are not purely imaginary,Then

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

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

If a complex number Z is purely imaginary then conjugate of Z is

If a complex number Z is purely imaginary then conjugate of Z is

Which term of the sequence 8-6i,7-4i,6-2i,...... is (i) purely real (ii) purely imaginary?

If z=1+i then z^(10) reduces to: A purely imaginary number An imaginary number A purely real number A complex number

Consider two complex numbers alphaa n dbeta as alpha=[(a+b i)//(a-b i)]^2+[(a-b i)//(a+b i)]^2, where a ,b , in R and beta=(z-1)//(z+1), w here |z|=1, then find the correct statement: both alphaa n dbeta are purely real both alphaa n dbeta are purely imaginary alpha is purely real andbeta is purely imaginary beta is purely real and alpha is purely imaginary

A non-zero complex number z is said to be purely imaginary if