QUIZ 4.2

1. Under the mapping w = 1/z the image of 3 + 2i is 1/3 + 1/2 i.
(a) True   ; (b) False   .

2. Under w = 1/z, the circle | z - 1 | = 1 maps to a circle.
(a) True   ; (b) False   .

3. Under w = 1/z, the halfplane y > 1 maps to the interior of a circle of radius
(a) 1/2   ; (b) 1   ; (c) 2   .

4. Under w = 1/z, any circle centred at O maps to itself.
(a) True  ; (b) False   .

Notes