+0  
 
0
74
2
avatar

The equation of the line through $2+3i$ which is perpendicular to the line through $0$ and $2+3i$ has equation \[az + b\overline{z} = 26,\]where $a$ and $b$ are constant complex numbers. Find the product $ab$ in rectangular form.

 Jan 18, 2019
 #1
avatar+21338 
+7

The equation of the line through $2+3i$ which is perpendicular to the line through $0$ and $2+3i$ has equation \[az + b\overline{z} = 26,\]

where $a$ and $b$ are constant complex numbers.

Find the product $ab$ in rectangular form.

\(\begin{array}{|rcll|} \hline az + b\overline{z} &=& 26 \\ &\boxed{ z = b} \\ & \boxed{\overline{z} = a} \\ ab + ba &=& 26 \\ 2ab &=& 26 \\ \mathbf{ab} &\mathbf{=}& \mathbf{13} \\ \hline \end{array}\)

 

laugh

 Jan 18, 2019

14 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.