Solve for complex number `z = x+iy`,
`barz+3iz=4+5i+z`

Find the complex number z if z^2+barz =0

Modulus of nonzero complex number z satifying barz + z =0 and |z|^(2)-4iz=z^(2) is _____.

Find all non zero complex numbers z satisfying barz=iz^2

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

The modulus of complex number z=x+iy will be

For a complex number z, if z^(2)+barz-z=4i and z does not lie in the first quadrant, then ("where "i^(2)=1)

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).

The area of the triangle on the Arand plane formed by the complex numbers z, iz and z+iz is?