If be the conjugate of the complex number z, then which of the following relations is false?
If Z is a complex number such that Re(z) = Im (z) then
Re(z2) = 0
Im (Z2) =0
Z2=0
Re(z2) = Im (z2)
The amplitude of sin π/5 + i (1 - cos π/5) is:
π/5
2π/5
π/10
π/15
The value of ( -1/2 + √3/2 i)1000 is
ω3
ω2
ω3 - ω
ω
If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then (a2 + b2) (c2 + a2) (e2 + f2) (g2 + h2) is equal to
A2 + B2
A2 - B2
4 (b2 - a2)
None of these
The number of non-zero integral solutions of the equation |1 - i|x = 2x is
Infinite
1
2
The point represented by the complex numbers 1 + i, -2 + 3i, 5/3i on the Arg and diagram are:
Vertices of an equilateral triangle
Vertices of an isosceles triangle
Collinear
For any complex number Z, the minimum value of |Z |+ |Z - 1| is
0
-1
If (3 + i) Z = (3-i) , then the complex number Z is
a (3 - i), a∈R
a/(3+i), a∈R
a(3+i), a∈R
a(-3+i), a∈R
In which quadrant of the complex plane, the point lies?
Fourth
First
Second
Third
