The equation overline{b}z + boverline{z} = c, | vedclass

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(B) The given equation is $\overline{b}z + b\overline{z} = c$. Let $z = x + iy$ and $b = b_1 + ib_2$,where $x, y, b_1, b_2 \in \mathbb{R}$. Substituti

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$A$ straight line

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(B) The given equation is $\overline{b}z + b\overline{z} = c$. Let $z = x + iy$ and $b = b_1 + ib_2$,where $x, y, b_1, b_2 \in \mathbb{R}$. Substituting these into the equation,we get: $(b_1 - ib_2)(x + iy) + (b_1 + ib_2)(x - iy) = c$ $(b_1x + ib_1y - ib_2x + b_2y) + (b_1x - ib_1y + ib_2x + b_2y) = c$ $2b_1x + 2b_2y = c$. This is a linear equation in $x$ and $y$ of the form $Ax + By + C = 0$,which represents a straight line.

The equation $\overline{b}z + b\overline{z} = c$,where $b$ is a non-zero complex constant and $c$ is real,represents:

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