The two complex variables w and z are related through the inverse mapping
![1306_3238b5a4-ab85-4bee-9e2f-e6ba4ba15fa5.png](https://secure.tutorsglobe.com/CMSImages/1306_3238b5a4-ab85-4bee-9e2f-e6ba4ba15fa5.png)
(a) Find the images of the points z = 1, 1 - j and 0 in the w plane.
(b) Find the region of the w plane corresponding to the interior of the unit circle |z| 1 in the z plane.
(c) Find the curves in the w plane corresponding to the straight lines x = y and x + y = 1 in the z plane.
(d) Find the fixed points of the mapping.