Let A, B, C Be Three Points Lying On The Circle  

 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

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