Show that the area of the triangle on the Argand diagram formed by the complex number `z ,i za n dz+i z` is `1/2|z|^2`

Show that the area of the triagle on the argand plane formed by the complex numbers Z, iz and z+iz is (1)/(2)|z|^(2)," where "i=sqrt(-1).

Area of the triangle formed by the complex number z, iz and z+iz is __________

Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i , in the Argand plane, is

If z is any complex number, then the area of the triangle formed by the complex number z, wz and z+wz as its sides, is

If the area of the triangle on the complex plane formed by complex numbers z,omega z is 4sqrt(3) square units,then |z| is

Find the complex number z for which |z| = z + 1 + 2i.