If n is any integer,then the value of (cosθ + i sinθ)n is
cosθ + i sin θ
cos nθ + i sin nθ
0
sinθ + i cos θ
The conjugate of the complex number is
The roots of the equation x4 - 8x2 - 9 = 0 are
±5 and ±1
±4 and ±1
±3 and ±i
±2 and ±i
A complex number z is such that arg the points representing this complex number will lie on
An ellipse
A parabola
A circle
A straight line
The polar form of complex number -4 + i4 √3
2 [cos (π/3) + i sin (π/3) ]
4 [cos (2π/3) + i sin (2π/3 ) ]
8 [ cos (2π/3 ) + i sin (2π/3 ) ]
12 [ cos (3π/4) + i sin (3π/4 ) ]
If |z2 - 1| = |z|2 + 1, then 2 lies on
a circle
the imaginary axis
the real axis
an ellipse
The complex number lies in which quadrant of the complex plane ?
First
Second
Third
Fourth
The complex numbers sinx + i cos2x and cosx - i sin2x are conjugate to each other for
x = nπ
x = (n + 1/2)π
x = 0
No value of x
Express in the form b or bi, where b is a real number.
i
-i
2i
- 2i
If ∝ and β are roots of the equation x2 - px + q = 0, then value of ∝4 + β4 in terms of p and q is
p4 - 2q2
p4 - p2q
p2 + 4p2q
p4 + 2q2 - 4p2q
