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Mathematics · JEE | COMPLEX NUMBERS AND QUADRATIC EQUATIONS

हिन्दी

Based on the reflection property in the Argand plane (Fig. 4.3), if the point \( P(x, y) \) represents the complex number \( z = x + iy \), then its mirror image across the real axis, point \( Q(x, -y) \), represents which of the following?

Question diagram
  1. A
    The additive inverse of \( z \)
  2. B
    The conjugate of \( z \)
  3. C
    The multiplicative inverse of \( z \)
  4. D
    The modulus of \( z \)
View Answer & Solution

Correct answer · Option B

The conjugate of \( z \)

Explanation

Geometrically, the point \( (x, -y) \) is the mirror image of \( (x, y) \) on the real axis, which represents the conjugate \( \bar{z} = x - iy \).
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