\( \mathrm{AB} \) is a tangent drawn from a point \( \mathrm{A} \) to a circle with center \( \m...

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\( \mathrm{AB} \) is a tangent drawn from a point \( \mathrm{A} \) to a circle with center \( \mathrm{O} \) and \( \mathrm{BOC} \) is a diameter of the circle, such that \( \angle \mathrm{AOC}=120^{\circ} \), then \( \angle \mathrm{OAB} \) is
-a. \( 90^{\circ} \)
b. \( 120^{\circ} \)
c. \( \cos ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
d. \( 30^{\circ} \)
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