??????? 1. Let ( z=a-4 i ) and ( w=1-a i ) where ( a in R ). Without using a calculator, (a) determine all values of ( a ) such that ( frac{z}{w} ) is real; (4 marks) (b) find ( arg left { frac{z+4 i}{w-1} right } ); (4 marks) (c) find ( |z+i w| ). (3 marks)

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???????  1. Let  ( z=a-4 i  ) and  ( w=1-a i  ) where  ( a  in R  ). Without using a calculator, (a) determine all values of  ( a  ) such that  (  frac{z}{w}  ) is real; (4 marks) (b) find  (  arg  left { frac{z+4 i}{w-1} right }  ); (4 marks) (c) find  ( |z+i w|  ). (3 marks)

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Solution for -   1. Let  ( z=a-4 i  ) and  ( w=1-a i  ) where  ( a  in R  ). Without using a c

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(Solved): 1. Let \( z=a-4 i \) and \( w=1-a i \) where \( a \in R \). Without using a c ...

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