If x = cosθ + i sinθ then the value of xn + 1/xn is
2 cos n θ
2 i sin n θ
2 sin n θ
2 i cos n θ
a + ib < c + id ; a,b,c,d ∈ R is meaningful only when
a2 + c2 = 0
b2 + c2
b2 + d2 = 0
a2 + d2 = 0
10
8
6
none of these
If the amplitude of a complex number is π/2, then the number is
Purely imaginary
Purely real
0
Neither real nor imaginary
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]
-1+√-3 = re iθ,then θ is equal to
2π/3
-2π/3
π/3
-π/3
The modulus and the principal amplitude of (1 + i√3)2respectively are
2,π/2
4,2π/3
5/8,tan-1(-4/3)
4 -3π/4
The principal value of the amplitude of (1 + i) is
π/2
π/4
π
3π/4
If -i + 3 is a root of x2 - 6x + k = 0 then the value of k is
5
√5
√10
If ω is a cube root of unity, then arg (ω + ω2) =