Area of the triangle in the Argand diagram formed by the complex numbers z, iz, z+iz, where z=x+iy is

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

The maximum area of the triangle formed by the complex coordinates z, z_1,z_2 which satisfy the relations |z-z_1|=|z-z_2| and |z-(z_1+z_2 )/2| |z_1-z_2| is

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 .

Find the Area bounded by complex numbers arg|z|lepi/4 and |z-1|lt|z-3|

If the area of the triangle formed by the vertices z, iz, and z + iz is 50 square units, find the value of |z|.

If the area of the triangle formed by the points z, z+iz and iz is 50 square units, then |z| is equal to

Fir any complex number z, the minimum value of |z|+|z-1| is