If z is a complex number such that Re(z) = Im (z) , then

Re (Z^{2}) = 0

Im (z^{2}) = 0

Re (z^{2}) = Im (z^{2})

z^{2} = 0

Express in the standard form a+ib:

1+i

1 + i(0)

1

None of these

Let z_{1} be a complex number with |z_{1}| = 1 and z_{2} be any complex number, then

0

-1

2

If (x + i y)^{1/3} = 2 + 3 i, then 3 x + 2 y is equal to

-20

-60

-120

60

Write as a complex number.

If Z_{1} = √2 ( cos^{ π}/4) and z_{2} = √3 (cos ^{ π}/_{3} + i sin ^{ π}/_{3} ) then |z_{1}z_{2}| is

6

√2

√6

√3

The values of x and y satisfying the equation are

x = 1, y = 3

x = 3, y = -1

x = 0, y = 1

x = 1, y = 0

Express in the standard form of (a+ib):

The real part of the complex number is

^{1}/_{5}

^{-1}/_{5}

5

^{2}/_{5}

The complex number when represented in the Argand diagram is

In the second quadrant

In the first quadrant

On the Y- axis

On the X- axis