Toronto Math Forum
MAT3342020S => MAT334Tests and Quizzes => Quiz 1 => Topic started by: Huyi Xiong 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(2xi2y) &= 7 \\
2x &= 7 \\
x &= \frac{7}{2}
\end{align}
The locus of point z is a vertical line cross $(\frac{7}{2}, 0)$.