If $A, B, C$ are acute positive angles such that $A + B + C = \pi $ and $\cot A\,\cot \,B\,\cot \,C = K,$ then
If $A, B, C$ are acute positive angles such that $A + B + C = \pi $ and $\cot A\,\cot \,B\,\cot \,C = K,$ then
- A
$K \le \frac{1}{{3\sqrt 3 }}$
- B
$K \ge \frac{1}{{3\sqrt 3 }}$
- C
$K < \frac{1}{9}$
- D
$K > \frac{1}{3}$
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