The value of (i)243 is equal to
i
-i
-1
1
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
If ω is a cube root of unity, then arg (ω + ω2) =
π/2
π
π/4
π/3
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
Multiplicative inverse of the non-zero complex number (x + iy), (x,y∈R) is
The reciprocal of 3 +i √7 i is
3/4 - √7/4 i
3 - √7 i
3/16 - √7/16 i
√7+3 i
z z¯= 0 iff
Re(z) = 0
Im(z) = 0
z = 0
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
Which one of the following is correct?
2 + 3i > 1 + 4i
b + 2i > 3 + 2i
12 + 8i > 8 + 12i
None of these
If -i + 3 is a root of x2 - 6x + k = 0 then the value of k is
5
√5
√10
10
