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

If z=|[-5, 3+4i,5-7i],[3-4i,6 ,8+7i],[5+7i,8-7i,9]|,t h e nz is (a) purely real (b)purely imaginary (c)an imaginary number that is not purely imaginary,a+i b , w h e r ea!=0,b!=0 (d)both purely real and purely imaginary

The complex number z is purely imaginary , if

If z is a complex number and z=bar(z) , then prove that z is a purely real number.

If z is a complex number and z=bar(z) , then prove that z is a purely real number.

If z is a purely imaginary number then arg (z) may be

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

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 and beta is purely imaginary beta is purely real and alpha is purely imaginary

If z=1+it h e nz^(10) reduces to: A purely imaginary number An imaginary number A purely real number A complex number

The quadratic equation p(x)=0 with real coefficients has purely imaginary roots. Then the equation p(p(x))=0 has A. only purely imaginary roots B. all real roots C. two real and purely imaginary roots D. neither real nor purely imaginary roots

Find the real number x if (x−2i)(1+i) is purely imaginary.