If x = a + b, y = aω + bω2, z = aω2 + bω and ω is a complex cube root of unity, then the value of xyz is
0
a + b
a3 + b3
If x = cosθ + i sinθ then the value of xn + 1/xn is
2 cos nθ
2 i sin n θ
2 sin n θ
2 i cos n θ
The value of i9 + i-5 =
i
-i
2i
[cos π/22 + i sin π/22]11 =
1
-1
Which of the following is not applicable for a complex number ?
Addition
Subtraction
Division
Inequality
If ω is a cube root of unity, then arg (ω + ω2) =
π/2
π
π/4
π/3
Multiplicative inverse of the non-zero complex number (x + iy), (x,y∈R) is
If eiθ = cosθ + i sinθ, then for the ΔABC eiA eiB eiC =
If (m - 5) + i (n + 4) is the complex conjugate of (2 m + 3) + i (3 n - 2) then (n, m) are
(-1/2, -8)
(-1/2, 8)
(1/2, -8)
(1/2, 8)
The smallest positive integer n for which (1+i/1-i)n = 1 is
5
3
8
4
