If The Roots Of complex Cube Root Of Unity) Are Plotted In The Argand Plane, Then These Roots Lie On

 then absolute value of 

Shaded region is given by

For complex numbers z₁, z₂ and z₃ satisfying  are the vertices of a triangle which is 

If the points z, – iz and 1 are collinear then z lies on

Let a, b, c be three points lying on the circle  

A particle P starts from the point It moves first horizontally away from the origin by 5 units and then vertically away from the origin by 3 units to reach a point z₁. From z₁ the particle moves  units in the direction of   and then its moves through an angle  in the anticlockwise direction on a circle with centre at origin, to reach point z₂. The point z₂ is given by

The locus of z satisfying the inequality