The imaginary part of is
4/5
0
2/5
-(4/5)
For any complex number Z, the minimum value of |Z |+ |Z - 1| is
1
2
-1
For any two complex numbers z1 and z2 and any real numbers a and b; |(az1 - bz2)|2 + |(bz1 + az2)|2 is equal to
(a2 + b2) (|z1| + |z2|)
(a2 + b2) (|z1|2 + |z2|2)
(a2 + b2) (|z1|2 - |z2|2)
None of these
. If α is a real number such that z - i α is real, then the value of α is
4
-4
7
-7
The additive inverse of 1-i is
0 + 0i
-1 + i
-1-i
1 + i
If ω is a cube root of unity, then the value of ( 1- ω + ω2)5 + (1 + ω - ω2)5 is
30
32
If z is a complex number, then the minimum value of |z| + |z - 1| is
1/2
The locus of z satisfying the inequality log1/3 |z + 1| > log1/3 |z - 1| is:
Re (z) < 0
Re (z) > 0
Im(z) < 0
The maximum value of |z| where z satisfies the condition |z + 2/z| = 2 is
√3 - 1
√3 + 1
√3
√2 + √3
If ω is a complex cube root of unity, then (x - y) (xω - y) (xω2 - y) is equal to
x2 + y2
x2 - y2
x3 - y3
x3 + y3
