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
If a2 + b2 = 1, then is equal to
1
2
b + ia
a + ib
If be the conjugate of the complex number z, then which of the following relations is false?
If z is a complex number, then is equal to
-1
0
None of these
The number of complex numbers Z such that |Z - 1| = |Z + i| = |Z - i| equals
α
If arg (Z) = θ, then arg () is equal to
θ - π
π - θ
θ
- θ
If i = √-1 and n is a positive integer, then in +in+1 + in+2 + in+3 is equal to
i
in
The additive inverse of 1-i is
0 + 0i
-1 + i
-1-i
1 + i
The complex number z = x + iy which satisfy the equation
real axis
the line y = 5
a circle passing through the origin
None of the above
The modulus and amplitude of are
√2 and π/6
1 and 0
1 and π/3
1 and π/4