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If z(1), z(2) are two complex numers suc...

If `z_(1), z_(2)` are two complex numers such that `|(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=kz_(2)`, where `k in R`, then the angle between `z_(1)-z_(2) and z_(1) + z_(2)` is

A

`tan^(-1) ((2k)/(k^(2) +1))`

B

`tan^(-1) ((2k)/(1-k^(2)))`

C

`-2 tan^(-1)k`

D

`2tan^(-1)k`

Text Solution

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The correct Answer is:
D
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