Question: 7. Suppose f is analytic in a domain D such that |f| is constant in D. Then show that f is a constant in

7. Suppose f is analytic in a domain D such that |f|

7. Suppose f is analytic in a domain D such that |f| is constant in D. Then show that f is a constant in D. 8. Let f = u + iv be a non-constant function such that f = u iv be analytic in a domain D. Show that f cannot be analytic in D.

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