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 px^{2} + 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 (x^{2} + y^{2} ) is

Multiplicative inverse of the non-zero complex number (x + iy) (x, y ∈ R) is

x/(x + y) - y,(x + y) i

x/(x^{2} + y^{2}) - y/(x^{2} + y^{2}) i

-x/(x^{2} + y^{2}) + y/(x^{2} +y^{2}) i

x/(x + y) + y/(x + y) i