Make the complex simple

Level pending

Let \(m\) be a line in the complex plane defined by:

\[(1-i)z+(1+i)\overline{z} =4\]

Let \(z_1=2+2i\) be a point in the complex plane.

If the reflection of \(z_1\) in \(m\) is \(z_{2}\), then compute the value of:

\[\overline{z_{1}}(1+i)+z_{2}(1-i) \]

×

Problem Loading...

Note Loading...

Set Loading...