If $z_{1} = 1 + 2i$ and $z_{2} = 3 + 5i$, then Re $\lbrack\overline{z_{2}}z_{1}/z_{2}\rbrack$ is equal to

Question

Dr. Abubacker · Accepted Answer

(d)
$\overline{z_{2}}z_{1} = (3 - 5i)(1 + 2i) = 13 + i$
$	herefore\ \ \frac{\overline{z_{2}}z_{1}}{z_{2}} = \frac{(13 + i)}{(3 + 5i)} 	imes \frac{(3 - 5i)}{(3 - 5i)} = \frac{44 - 62i}{34}$
$	herefore$ Real part of $\left( \frac{\overline{z_{2}}z_{1}}{z_{2}} ight) = \frac{44}{34} = \frac{22}{17}$

Q. If $z_{1} = 1 + 2i$ and $z_{2} = 3 + 5i$, then Re $\lbrack\overline{z_{2}}z_{1}/z_{2}\rbrack$ is equal to

Explanation

Reviewed by Dr. Abubacker

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