If z₁ and z₂ are complex numbers with $$\left| {{z_1}} \right| = \left| {{z_2}} \right|$$, then which of the following is/are correct?

1. z₁ = z₂

2. Real part of z₁ = Real part of z₂

3. Imaginary part of z₁ = Imaginary part of z₂

Select the correct answer using the code given below.

If the point z₁ = 1 + i, where $$i = \sqrt { - 1} $$ is the reflection of a point z₂ = x + iy in the line $$i\overline z - iz = 5$$, then the point z₂ is

$$z\overline z + (3 - i)z + (3 + i)\overline z + 1 = 0$$ represents a circle with

What is $$\sqrt {{{1 + {\omega ^2}} \over {1 + \omega }}} $$ equal to, where $$\omega$$ is the cube root of unity?