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In the given figure AB is the diameter of the circle, whose center is

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In the given figure AB is the diameter of the circle, whose center is O. Point C lies inside the circle such that ACB=120 degrees. Also, OD is perpendicular to BC and length of OD is 1.5 cm. Find the length of AC?

A. \(\frac{3\sqrt{3}}{2}\)
B. 3
C. \(2\sqrt{3}\)
D. \(3\sqrt{3}\)
E. 6

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