A complex conjugate line typically refers to the relationship between a complex number and its complex conjugate in the context of a geometrical representation on the complex plane. In the complex plane (or Argand plane), a complex number, denoted as \( z = a + bi \), where \( a \) and \( b \) are real numbers and \( i \) is the imaginary unit, can be represented as a point with coordinates \( (a, b) \).
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