Multiplicative inverse of the non-zero complex number (x + iy), (x,y∈R) is
The principal value of the amplitude of (1 + i) is
π/2
π/4
π
3π/4
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 -i + 3 is a root of x2 - 6x + k = 0 then the value of k is
5
√5
√10
10
a + ib < c + id ; a,b,c,d ∈ R is meaningful only when
a2 + c2 = 0
b2 + c2
b2 + d2 = 0
a2 + d2 = 0
8
6
none of these
If z is a complex number then
|z2| >|z2|
|z2| =|z2|
|z2| = z
|z2| ≥|z2|
If n is any integer,then (i)n is
i
1,-1
i,-i
1,-1,i,-i
-1+√-3 = re iθ,then θ is equal to
2π/3
-2π/3
π/3
-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