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Question 230008
JEE Mathematics · Medium

Complex Numbers: Modulus–argument form MCQ

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Modulus–argument formMediumQuestion 230008

Question

The modulus and argument of z = −√3 + i are:
  1. A
    2 and 5π/6
    Correct
  2. B
    2 and π/6
  3. C
    √2 and 5π/6
  4. D
    2 and −π/6

Correct answer

2 and 5π/6

Explanation

|z| = √(3+1) = 2. The point (−√3, 1) is in Q2. tan θ_ref = 1/√3 → θ_ref = π/6. Argument = π − π/6 = 5π/6.

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