If `|z_(1)|=2,(1-i)z_(2)+(1+i)bar(z)_(2)=8sqrt(2)`, (`z_(1),z_(2)` are complex variables) then the minimum value of `|z_(1)-z_(2)|`,is

If |z_(1)| = 2 and (1-i)z_(2) + (1+i)bar(z)_(2) = 8 sqrt(2) , then

If ,z_(1)=,2-i,z_(2)=1+i find ,,|(z_(1)+z_(2)+1)/(z_(1)-z_(2)+i)|

Let z_(1), z_(2) are complex numbers and |z_(1)|=2 and (1-i)z_(2)+(1+i) z_(2)= K sqrt(2),K>0 such that the minimum value of |z_(1)-z_(2)| equals 2 then the value of |K| equals

If z_(1)=1+i,z_(2)=1-i then (z_(1))/(z_(2)) is

If z_(1)=2-i,z_(2)=1+i, find |(z_(1)+z_(2)+1)/(z_(1)-z_(2)+i)|

If Z_(1),Z_(2) are two non-zero complex numbers, then the maximum value of (Z_(1)bar(Z)_(2)+Z_(2)bar(Z)_(1))/(2|Z_(1)||Z_(2)|) is

If z_(1)=5+2i and z_(2)=2 +i ,verify (i) |z_(1)z_(2)|= |z_(1)||z_(2)|

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1, then

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then

If z_(1) and z_(2) are two complex numbers such that |z_(1)|= |z_(2)|+|z_(1)-z_(2)| then