Let `A = {z in CC: |z| = 25) and B = {z in CC: |z +5+12i|= 4}.` Then the minimum value of `|z-omega|,` for `z in A and omega in B,` is

Let A={z in C:|z|=25 and B={z in C:|z+5+12i|=4} Then the minimum value of |z-omega|, for z in A and omega in B, is

Let CC be the set of all complex numbers . Let S_(1) = { in CC : | z - 2| le 1} and S_(2) = { z in CC z (1 + i)+ bar(z) ( 1 - i) ge 4} Then, the maximum value of | z - (5)/( 2)| ^(2) " for " z in S_(1) cap S_(2) is equal to

If z lies on the curve a r g(z+1)=pi/4 , then the minimum value of |z-omega|+|z+omega|,w h e romega=e^(i(2pi)/3) , is

If omega=z/(z-1/3i) and |omega|=1 then z lies on

If S={z in CC : (z-i)/(z+2i) in RR} , then

Let z and w be two complex number such that w = z vecz - 2z + 2, |(z +i)/(z - 3i )|=1 and Re (w) has minimum value . Then the minimum value of n in N for which w ^(n) is real, is equal to "_______."

Let z be a complex number satisfying z^(117)=1 then minimum value of |z-omega| (where omega is cube root of unity) is

If |(z-1)/(z-4)|=2 and |(w-4)/(w-1)|=2 , (where z,w in C ) .Then the value of |z-w|_(max)+|z-w|_(min)