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设\(F\)为双曲线\(C:\frac {{x}^{2}} {{a}^{2}}-\frac {{y}^{2}} {{b}^{2}}=1(a>0,b>0)\)的右焦点,\(O\)为坐标原点,以\(OF\)为直径的圆与圆\({x}^{2}+{y}^{2}={a}^{2}\)交于\(P、Q\)两点.若\(|PQ|=|OF|\),则\(C\)的离心率为( )
A.\(\sqrt 2 \)
B.\(\sqrt 3 \)
C.2
D.\(\sqrt 5 \)
参考答案:A
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