The value of ω28 + ω29 + 1 is
1
0
ω
ω2
The representation of z = 1 + i√3 in polar form is
2[Cos π/6 + i Sin π/6]
2[Cos π/4 + i Sin π/4]
2[Cosπ/3 + i Sin π/3]
Sin π/2 + i Sin π/2
If arg (z - a ) = π/4, where a ∈ R, then the locus of z ∈ C is a
Hyperbola
Parabola
Ellipse
Straight line
PQ and PR are two infinite rays,QAR is an arc.The point lying in the shaded region excluding the boundary , satisfies.
|z - 1 | > 2 : |arg(z - 1) | < π/4
|z - 1 | > 2 : |arg(z - 1 ) | < π/2
|z - 1 | > 2 : |arg(z + 1) |
|z - 1 | > 2: |arg(z + 1) | < π/2
(x = 3, y = 1 )
(x = 1, y = 3 )
(x = 0 , y = 0 )
is equal to __________.
i
2 i
1 - i
2
If xr = cos (π/2r) + i sin (π/2r), then x1.x2....∞
-3
-2
-1
If |z + 4| ≤ 3, then the greatest and the least value of |z + 1| are:
6, -6
6, 0
7, 2
0, -1
The root of quadratic equation x2 - 4x + 2 = 0 are
±√2
1±√2
2±√2
3±2√2
The roots for the equation a(x2 + 1) - (a2 + 1) x = 0 are
a and 1/a
a and 1/2a
a and 2a
a and -2a