Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Complex Numbers/
Question 230014
JEE Mathematics · Medium

Complex Numbers: Modulus inequality MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Modulus inequalityMediumQuestion 230014

Question

For complex numbers z₁ and z₂, |z₁ + z₂| ≤ |z₁| + |z₂| is known as:
  1. A
    Triangle inequality
    Correct
  2. B
    Cauchy-Schwarz
  3. C
    De Moivre's theorem
  4. D
    Argand's law

Correct answer

Triangle inequality

Explanation

The triangle inequality for complex numbers states |z₁ + z₂| ≤ |z₁| + |z₂|, analogous to the triangle inequality in vectors.

Review Complex Numbers notesStart timed chapter practice