Home
Class 12
MATHS
If z is a unimodular number (!=+-i) then...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

The complex number z is purely imaginary,if

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

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

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: (a)both alphaa n dbeta are purely real (b)both alphaa n dbeta are purely imaginary (c) alpha is purely real and beta is purely imaginary (d) beta is purely real and alpha is purely imaginary

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

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