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Mathematics · JEE | COMPLEX NUMBERS AND QUADRATIC EQUATIONS

हिन्दी

Referring to the geometric representation of the complex number \( z = x + iy \) in the Argand plane shown in the figure, what does the distance from the origin \( O(0,0) \) to the point \( P(x,y) \) represent?

Question diagram
  1. A
    Argument of \( z \)
  2. B
    Real part of \( z \)
  3. C
    Conjugate of \( z \)
  4. D
    Modulus of \( z \)
View Answer & Solution

Correct answer · Option D

Modulus of \( z \)

Explanation

As shown in Fig. 4.2 of the text, the distance between \( P(x,y) \) and origin \( O(0,0) \) in the Argand plane is the modulus \( |z| = \sqrt{x^2 + y^2} \).
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