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If |z-25i|le15 , then find (i) Maxim...

If `|z-25i|le15` , then find
(i) Maximum |z| (2) Maximum arg (z)
(3) minimum |z| (4) Minimum arg (z)

Text Solution

AI Generated Solution

To solve the problem, we start with the given inequality involving the complex number \( z \): \[ |z - 25i| \leq 15 \] This represents a circle in the complex plane with center at \( 0 + 25i \) (which corresponds to the point \( (0, 25) \) in the Cartesian plane) and a radius of 15. ...
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