Author Topic: Quiz 1 Lec0101 - A  (Read 282 times)

yuxuan li

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Quiz 1 Lec0101 - A
« on: October 03, 2020, 11:48:32 AM »
Describe the locus of points z satisfying the given equation: Im(2iz) = 7.

Let z = x + iy

$
\begin{align}
2iz &=2i(x+iy) \notag\\
&=2ix-2y \notag\\
&=-2y+2xi \notag\\
\end{align}
$

$
\begin{align}
Im(2iz) &=Im(-2y+2xi) \notag\\
&=2x \notag\\
\end{align}

$
=> 2x = 7
=> Vertical line $x = \frac{7}{2}$