If `alpha =z/(barz),` then `|alpha|`

If alpha=(z)/(bar(z)), then | alpha| equals

Fill in the blanks: If x alpha y and x alpha z , then (y+z) alpha ______.

A nucleus with z= 92 units emits the following in a sequence. alpha, beta^(-) , alpha, beta^(-) , alpha, alpha, alpha, alpha , beta^(-) , beta^(-) , alpha,beta^+ , beta^+ , alpha . The Z of the resulting nucleus is

IF z(z in C) satisfy abs(z+5)le5 and z(1+i)+barz(1-i)ge-10 .If the maximum value of abs(z+1)^2 is alpha+sqrt2beta then find alpha+beta

If abs(z+barz)=abs(z-barz) , then the locus of z is

If z = barz then z lies on

If 4n alpha=pi then cot alpha cot2 alpha cot3 alpha...cot(2n-1)alpha n in Z is equal to

If z(bar(z+alpha))+barz(z+alpha)=0 , where alpha is a complex constant, then z is represented by a point on

If z(bar(z+alpha))+barz(z+alpha)=0 , where alpha is a complex constant, then z is represented by a point on

(z-alpha)/(z+alpha) is purely imaginary and |z|=82 then |alpha| is: