Mathematics · Complex Analysis
For a complex number a such that 0 < |a| < 1, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If |1 - aº z| < |z - a|, then |z| < 1
- 2If |z| = 1, then |z - a| < |1 - aº z|
- 3If |z - a| = |1 - aº z|, then |z| = 1✓
- 4If |z| < 1, then |1 - aº z| < |z - a|
Correct answer
If |z - a| = |1 - aº z|, then |z| = 1
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