The polar form of complex number 1 - i is
Find the value of x and y if (x + iy) + (3 - 2i) = 1 + 4i
x = 6, y = -2
x = -2, y = 6
x = 3, y = -2
x = -2, y = 3
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
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 1 + √3 i is
cos (π/3)
sin (π/3)
cos (π/3) + i sin (π/3)
2[(cos (π/3) + i sin (π/3) ]
(3i)(4i) =
12
-12
12i
12/i
Let p, q ∈{1, 2, 3, 4, 5}. The no. of equations of the form px2 + qx + 1 = 0, having real root is
7
8
9
15
The complex number lies in which quadrant of the complex plane ?
First
Second
Third
Fourth
If x + iy = , then the value of (x2 + y2 ) is
Multiplicative inverse of the non-zero complex number (x + iy) (x, y ∈ R) is
x/(x + y) - y,(x + y) i
x/(x2 + y2) - y/(x2 + y2) i
-x/(x2 + y2) + y/(x2 +y2) i
x/(x + y) + y/(x + y) i
