A) 1
B) 2
C) \[\frac{\sqrt{3}}{2}\]
D) \[\sqrt{3}\]
Correct Answer: D
Solution :
\[\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}\Rightarrow \frac{\cos A}{k\sin A}=\frac{\cos B}{k\sin B}=\frac{\cos C}{k\sin C}\] Þ \[\cot A=\cot B=\cot C\Rightarrow A=B=C={{60}^{o}}\] Þ \[\Delta ABC\]is equilateral. \ \[\Delta =\frac{\sqrt{3}}{4}{{a}^{2}}=\sqrt{3}\].
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