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]
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
The reciprocal of 3 +i √7 i is
3/4 - √7/4 i
3 - √7 i
3/16 - √7/16 i
√7+3 i
Which of the following is not applicable for a complex number ?
Addition
Subtraction
Division
Inequality
is equal to
i
2i
1 - i
2
If -i + 3 is a root of x2 - 6x + k = 0 then the value of k is
5
√5
√10
10
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 z is a complex number then
|z2| >|z2|
|z2| =|z2|
|z2| = z
|z2| ≥|z2|
The value of (i)243 is equal to
-i
-1
1
If ω is a cube root of unity, then arg (ω + ω2) =
π/2
π
π/4
π/3
