Easy MCQ +4 / -1

If |z - 1| = 3, then z lies on:

  1. A A circle with centre 1 and radius 3 Correct answer
  2. B A circle with centre 0 and radius 3
  3. C A straight line at distance 1 from origin
  4. D A line through the origin

Solution

|z - z₀| = r is a circle with centre z₀ and radius r. Here |z - 1| = 3 → circle with centre (1,0) and radius 3.

About this question

Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Topic: Modulus and Argument

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