The real part of the complex number is
1/5
-1/5
5
2/5
The smallest positive integer n for which (1+i)2n = (1-i)2n is
1
2
3
4
Express in the standard form a+i b:
1-3 i
1+ 3 i
-1-3 i
None of these
If Z1 = √2 ( cos π/4) and z2 = √3 (cos π/3 + i sin π/3 ) then |z1z2| is
6
√2
√6
√3
If , then is (where is complex conjugate of z).
2 (1 + i)
(1+i)
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
The real values of x and y for which the equation is satisfied (1-i) x + (1+i) y = 1-3 i
2, -1
-2, -1
-2, 1
2,1
The imaginary part of is
4/5
0
-(4/5)
If α and β are different complex numbers with |β| = 1 then is
3/2
1/2
If z is a complex number such that Re(z) = Im (z) , then
Re (Z2) = 0
Im (z2) = 0
Re (z2) = Im (z2)
z2 = 0
