If `z=(1)/(2)(sqrt(3)-i)`, then the least possible integral value of `m` such that `(z^(101)+i^(109))^(106)=z^(m+1)` is

If z = 1/2 (sqrt(3) - i) and the least positive integral value of n such that (z^(101) +i^(109))^(106) = z^(n) is k, then the value of 2/5 k is equal to

If z=(-2)/(1+sqrt(3) i) , then the value of arg z is

If z = (-2)/(1 + sqrt(3i)) , then the value of age z is

If z =(-2)/(1+sqrt3i), then the value of arg(z) is-

If z=(1)/(2)(i sqrt(3)-1), then find the value of (z-z^(2)+2z^(3))(2-z+z^(2))

The least possible integral value of k for which |z-1-i|+|z+i|=k represents an ellipse is

If z=(sqrt3-i)/(2) then (i^(101)+z^(101))^(103)=

If z= frac{-2}{1+sqrt3i} , then the value of arg(z) is