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if z is a complex number belonging to th...

if z is a complex number belonging to the set `S={z:|z-2+i|gesqrt(5)}` and `z_(0)inS` such that `(1)/(|z_(n)-1|)` is maximum then arg `((4-z_(0)-overline(z)_(0))/(z_(0)-overline(z)_(0)+2i))` is

A

`(3pi)/(4)`

B

`(pi)/(4)`

C

`- (pi)/(2)`

D

`(pi)/(2)`

Text Solution

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The correct Answer is:
C
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