If `z-(1)/(z)=i then z^(2005)+(1)/(z^(2005))=+-sqrt(k) ` then k is

Z-((1)/(Z))=i then z^(2005)+((1)/(z^(2005))) is?

If z+(1)/(z)=1 and a=z^(2005)+(1)/(z^(2005)) and bis last digit of the number 2^(2^(n))-1 when the integer n>1 and a^(2)+b^(2)=13 lambda then lambda=..........

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

If k gt 0, k ne 1, and z_(1), z_(2) in C , then |(z-z_(1))/(z-z_(2))| = k represents

If z_(1)=1+i,z_(2)=sqrt(3)+i then arg((z_(1))/(z_(2)))^(50) is

If z_(1) and z_(2) are two complex number such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1, Prove that i(z_(1))/(z_(2))=k where k is a real number Find the angle between the lines from the origin to the points z_(1)+z_(2) and z_(1)-z_(2) in terms of k

If |z_(1)| = |z_(2)| = |z_(3)| = 1 and z_(1) + z_(2) + z_(3) = sqrt(2) + i , then the number z_(1)bar(z)_(2)+z_(2)bar(z)_(3) + z_(3)bar(z)_(1) is :

if z_(1)=3+i and z_(2) = 2-i, " then" |(z_(1) +z_(2)-1)/(z_(1) -z_(2)+i)| is

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