If  z  is complex number satisfying the condition  ∣z − 25i∣  ≤  15 , then complex number  z .If z has maximum argument then z is

The given condition is |z - 25i| ≤ 15. This represents a circle in the complex plane with center at 25i and radius 15.

The argument of a complex number is the angle it makes with the positive real axis. The maximum argument is π (or 180 degrees), which corresponds to the point on the circle that is furthest below the real axis.

This point is directly below the center of the circle, so its imaginary part is 25 - 15 = 10. The real part is 0, because it lies on the imaginary axis.

Therefore, when z has maximum argument, z = 0 + 10i = 10i.