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Question 230018
JEE Mathematics · Medium

Complex Numbers: Polar form multiplication MCQ

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Polar form multiplicationMediumQuestion 230018

Question

If z₁ = 2(cos 30° + i sin 30°) and z₂ = 3(cos 60° + i sin 60°), then |z₁z₂| is:
  1. A
    6
    Correct
  2. B
    5
  3. C
    √13
  4. D
    1

Correct answer

6

Explanation

|z₁z₂| = |z₁||z₂| = 2 × 3 = 6. The modulus of a product equals the product of moduli.

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