The inequality |Z - 4| < |Z - 2| represents the region given by
Re (Z) > 0
Re (Z) < 0
Re (Z) > 2
None of these
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 Z = √3 + i, then the argument of Z2 ez-i is equal to
π/2
π/6
eπ/6
π/3
If (x + iy)1/3 = a + ib, then x/a + y/b is equal to
4 (a2 + b2)
4 (a2 - b2)
4 (b2 - a2)
The value of x and y satisfying the equation are
x = -1, y = 3
x = 3, y = -1
x = 0, y = 1
x = 1, y = 0
Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero root, then
pqr = r2 + p2s
prs = q2 + r2p
qrs = p2 + s2q
pqs = s2 + q2r
If xr = cos (π/2r) + i sin (π/2r), then x1.x2....∞ is
-3
-2
-1
0
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
If z is a complex number, then is equal to
1