Author Topic: QUIZ1 TUT0101  (Read 898 times)

Huyi Xiong

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QUIZ1 TUT0101
« on: January 28, 2020, 10:11:03 AM »
Describe the locus of points z satisfying the given equation.
\begin{align}
Im(2iz) = 7  \\
z = x + iy,  x,y \in \mathbb{R} \\
Im[2i(x+iy)]&=7 \\
Im(2xi-2y) &= 7 \\
2x &= 7 \\
x &= \frac{7}{2}
\end{align}
The locus of point z is a vertical line cross $(\frac{7}{2}, 0)$.