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【简答题】
已知双曲线C的中心在,抛物线y 2 =8x的焦点是双曲线C的一个焦点,且双曲线过点C( 2 , 3 ). (1)求双曲线C的方程; (2)设双曲线C的左顶点为A,右焦点为F,在第一象限内双曲线上一点P,试问是否存在常数λ(λ>0),使得∠PFA=λ∠PAF恒成立?并证明你的结论.
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