Complex conjugate line
From Infogalactic: the planetary knowledge core
In complex geometry, the complex conjugate line of a straight line is the line that it becomes by taking the complex conjugate of each point on this line.[1]
This is the same as taking the complex conjugates of the coefficients of this line. So if the equation of D is D : ax + by + cz = 0, then the equation of its conjugate D* is D* : a*x + b*y + c*z = 0.
The conjugate of a real line is the line itself. The intersection point of two conjugated lines is always real.[2]
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