If `z =x` is is a complex number and `|1 + iz|=|1-iz|,` then

If z=x+iy is a complex number such that |z|=Re(iz)+1 , then the locus of z is

If z is a complex number and iz^(3) + z^(2) - z + I = 0 , the value of |z| is

If z is any complex number, then the points z,iz,-z,-iz

If z is a complex number such that |z|=2 , then the area (in sq. units) of the triangle whose vertices are given by z, -iz and iz-z is equal to

If z is a complex number such that |z|=2 , then the area (in sq. units) of the triangle whose vertices are given by z, -iz and iz-z is equal to

Given the complex number z = 3 + 2i , represent the complex number z, iz and z + iz in one Argand diagram. Show that these complex numbers form the veritices of an isosceles right triangle .

The area of the triangle formed by the complex numbers z, iz, and z + iz in the Argand's diagram is