If α and β are different complex numbers with |β| = 1 then is
0
3/2
1/2
1
If Z is a complex number such that , then
z is purely real
z is purely imaginary
z is any complex number
real part of z is the same as its imaginary part
The modulus of is
2
√2
3
√3
The smallest positive integer n for which (1+i)2n = (1-i)2n is
4
If (3+i) z = (3-i) , then the complex number z is.
a (3-i), a∈R
, a∈R
a(3+i), a∈R
a (-3 + ), a∈R
If (x + i y)1/3 = 2 + 3 i, then 3 x + 2 y is equal to
-20
-60
-120
60
The real part of the complex number is
1/5
-1/5
5
2/5
If Z = r (cos θ + i sin θ), then the value of is
cos 2 θ
2 cos 2θ
2 cos θ
2 sin θ
Express in the standard form .
1-3i
1+ 3i
-1-3i
None of these
The complex number when represented in the Argand diagram is
In the second quadrant
In the first quadrant
On the Y- axis
On the X- axis