Complex Numbers...

If Z = 3√/2+i/2, Z³ then equals

If (1 + i) (1 + 2i) (1 + 3i) …… (1 + n i) = x + y i; where x, y ∈ R and n ∈ N, then 2X5X10X…..X (1 + n²) =

If ω is a cube root of unity, then the value of (1 + ω)(1 + ω²)(1 + ω⁴)(1 + ω⁸) ...... up to 2n factors is

Distance of the representative of the number 1 +i from the origin ( in Argand’s diagram ) is

If |z−2|=|z−6| then locus of z is given by :

The complex number z is such that │z│ = 1, z ≠ - 1 and w = (z - 1)/(z + 1). The real part of w is