If a complex number z = x + iy represents a point P(x, y) in the Argand plane and z satisfies the condition that the imaginary part of z - 3z + 3i is zero, then the locus of the point P is:

If z is a complex number satisfying the relation |z + 1| = z + 2(1 + i), then z is:

z1, z2 and z3 are the vertices of an equilateral triangle inscribed in the circle |z| = 2. If z1 = 1 + i√3, then the values of z2 and z3 are:

The value of the expression x3 - 5x2 + 33x - 19, where x - 2 = 5i, is equal to: