Question

Find the modulus of the following complex numbers.

(i) 2i/(3 + 4i)

(ii) (2 - i/1 + i) + (1 - 2i/1 - i) 

(iii) (1 - i)¹⁰

(iv) 2i(3 – 4i) (4 – 3i)

Answer 1

(i) 2i/(3 + 4i)

(ii) (2 - i/1 + i) + (1 - 2i/1 - i) 

(iii) (1 - i)¹⁰

(iv) |2i(3 – 4i) (4 – 3i)| 

= |2i| |3 – 4i| |4 – 3i|

= 2 × 5 × 5 

= 50