In complex analysis, what is the geometric locus in the Argand plane described by ?

Answer and explanation

Correct answer: D. Circle centered at with radius

  1. Step 1: Rewrite the condition as . Step 2. This states that the distance from to fixed point is , defining a circle with center and radius . **Answer: Circle centered at with radius . Why not the others:** Center reverses coordinate signs; lines and ellipses have different algebraic forms.

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