The reflection of the complex number 2+i3-i in the straight line (1+i)z=(1-i)z¯, is

2+i3-i≡P12,12Also, (1+i)z=(1-i)z¯⇒x+y=0So, reflection of P12,12in the line x+y=0, is Q-12,-12=2+i-3+i

The reflection of the complex number 2+i3-i in the straight line (1+i)z=(1-i)z¯, is

2+i3-i≡P12,12Also, (1+i)z=(1-i)z¯⇒x+y=0So, reflection of P12,12in the line x+y=0, is Q-12,-12=2+i-3+i

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The reflection of the complex number $\frac{2 + i}{3 - i}$ in the straight line $(1 + i) z = (1 - i) \bar{z}$ , is

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$\frac{2 + i}{3 - i}$

$\frac{2 - i}{3 - i}$

$\frac{2 + i}{- 3 + i}$

$\frac{- 2 + i}{- 3 + i}$

answer is D.

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$\frac{2 + i}{3 - i} \equiv P (\frac{1}{2}, \frac{1}{2})$

Also, $(1 + i) z = (1 - i) \bar{z} \Rightarrow x + y = 0$

So, reflection of $P (\frac{1}{2}, \frac{1}{2})$ in the line $x + y = 0,$ is $Q (\frac{- 1}{2}, \frac{- 1}{2}) = \frac{2 + i}{- 3 + i}$

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The reflection of the complex number 2+i3-i in the straight line (1+i)z=(1-i)z¯, is

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The reflection of the complex number $\frac{2 + i}{3 - i}$ in the straight line $(1 + i) z = (1 - i) \bar{z}$ , is