Let \( A, B, C \) be three collinear points which are such that \( A B \cdot A C=1 \) and the po...

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Let \( A, B, C \) be three collinear points which are such that \( A B \cdot A C=1 \) and the points are represented in the Argand plane by the complex numbers \( 0, z_{1} \) and \( z_{2} \) respectively, Then,
(A) \( z_{1} z_{2}=1 \)
(B) \( z_{1} \bar{z}_{2}=1 \)
(C) \( \left|z_{1}\right|\left|z_{2}\right|=1 \)
(D) \( z_{1}=\bar{z}_{2} \)
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