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A(z(1)),B(z(2)),C(z(3)) are the vertices...

`A(z_(1)),B(z_(2)),C(z_(3))` are the vertices of a triangle ABC inscrible in the circle `|z|=2` . Internal angle bisector of the angle A meets the circumcircle again at `D(z_(4))`.
Complex number representing point `D(z_(4))`

A

`z_(4)^(2)=z_(2)z_(3)`

B

`z_(4)=(z_(3)z_(2))/(z_(1))`

C

`z_(4)=(z_(1)z_(2))/(z_(3))`

D

`z_(4)=(z_(1)z_(3))/(z_(2))`

Text Solution

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The correct Answer is:
A
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