[cos π/22 + i sin π/22]11 =
i
1
-i
-1
Given x2 + 2 = 0, then x =
2
√2
±√2 i
-2i
If ω is the complex cube root of unity, then the value of the product (1 + ω)(1 +ω2)(1 + ω4)(1 + ω8)(1 + ω16)(1 + ω32) =
ω
ω2
Which one of the following is not true?
1 + i + i2 + i3 = 0
1-i/1+i = -i
1 + ω + ω2 = 0
ω3 = 0
The real part of (1 + i)4 + (1 - i)4 is
-4
4
-8
8
If eiθ = cosθ + i sinθ, then for the ΔABC eiA eiB eiC =
0
The equation having 4 - 3i and 4 + 3i as roots is
x2 + 8x + 25 = 0
x2 + 8x - 25 = 0
x2 - 8x + 25 = 0
x2 - 8x - 25 = 0
The representation of z = 1 + i√3 in polar form is
2[cosπ/6 + i sinπ/6]
2[cosπ/4 + i sinπ/4]
2[cosπ/3 + i sinπ/3]
2[sinπ/2 + i sinπ/2]
z z¯= 0 iff
Re(z) = 0
Im(z) = 0
z = 0
None of these
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
a + b
a3 + b3
