Find all C (1) for which i. real li imaginary. (b) [10] Show that for all...

Transcribed Image Text:

Find all C\ (1) for which i. real li imaginary. (b) [10] Show that for all € C\ (0). R + 2. (a) [8] If Jm(a) >0 and Jm(6)>0, show that Illustrate this with a diagram. (b) [6] For any a, b e C, prove that and Jm() = 12- <1 1 21 1-ab²a-b²=(1-²)(1-16²) (e) [6] Deduce from (b) that if a < 1 and (b) <1, then a-b <1 1-ab N Find all C\ (1) for which i. real li imaginary. (b) [10] Show that for all € C\ (0). R + 2. (a) [8] If Jm(a) >0 and Jm(6)>0, show that Illustrate this with a diagram. (b) [6] For any a, b e C, prove that and Jm() = 12- <1 1 21 1-ab²a-b²=(1-²)(1-16²) (e) [6] Deduce from (b) that if a < 1 and (b) <1, then a-b <1 1-ab N