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
None of these
If a2 + b2 = 1, then is equal to
1
2
b + ia
a + ib
The modulus and amplitude of are
√2 and π/6
1 and 0
1 and π/3
1 and π/4
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 such that( z-1)/(z+1) is purely imaginary, then,
|z| = 0
|z| = 1
|z| > 1
|z| < 1
The equation represents a circle if:
|a|2 = b
|a|2 > b
|a|2 < b
The value of is equal to.
i
-i
If i = √-1 and n is a positive integer, then in +in+1 + in+2 + in+3 is equal to
in
0
The imaginary part of is
4/5
2/5
-(4/5)
If Z1 = √2 (cos π/4 + i sin π/4 ) and Z2 = √3 (cos π/3 +i sin π/3 ), then |Z1Z2| is
6
√2
√6
√3
