A) \[\pi /2\]
B) \[2\pi /3\]
C) \[5\pi /4\]
D) \[7\pi /4\]
E) \[5\pi /3\]
Correct Answer: B
Solution :
Largest side is\[\sqrt{{{p}^{2}}+pq+{{q}^{2}}}\]. If largest angle is \[\theta \], then \[\cos \theta =\frac{{{p}^{2}}+{{q}^{2}}-{{p}^{2}}-pq-{{q}^{2}}}{2pq}=-\frac{1}{2}=\cos \left( \frac{2\pi }{3} \right)\] Þ \[\theta =\frac{2\pi }{3}\].
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