The area of the triangle \( A B C \) (in sq. units) in which \( a=1, b=2 \angle C=60^{\circ} \),...

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The area of the triangle \( A B C \) (in sq. units) in which \( a=1, b=2 \angle C=60^{\circ} \), is
(A) 4
(B) \( \frac{1}{2} \)
(C) \( \frac{\sqrt{3}}{2} \)
(D) \( \sqrt{3} \)
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