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A(z1),B(z2) and C(z3) are the vertices o...

`A(z_1)`,`B(z_2)` and `C(z_3)` are the vertices of triangle ABC inscribed in the circle |z|=2,internal angle bisector of angle A meets the circumcircle again at `D(z_4)`.Point D is:

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))`

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The correct Answer is:
A
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