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Question 230004
JEE Mathematics · Easy

Complex Numbers: Argument MCQ

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ArgumentEasyQuestion 230004

Question

The argument (principal value) of the complex number −1 + i is:
  1. A
    3π/4
    Correct
  2. B
    π/4
  3. C
    −π/4
  4. D
    5π/4

Correct answer

3π/4

Explanation

−1 + i lies in the second quadrant. tan θ = 1/(−1) → reference angle = π/4. Principal argument = π − π/4 = 3π/4.

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