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In the Argand plane, the complex number z = x + iy and its conjugate z̄ = x - iy are represented by points that are:
AThe same point
BDiametrically opposite about the origin
CMirror images on the IMAGINARY axis
DMirror images of each other on the REAL axis (x-axis)
Answer & Solution
Correct answer: D. Mirror images of each other on the REAL axis (x-axis)
z corresponds to P(x, y) and z̄ corresponds to (x, -y). Reflecting (x, y) over the x-axis (real axis) gives (x, -y). So z̄ is the mirror image of z about the REAL axis.
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