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The tangent at a point \( P \) on the hyperbola
\( \mathrm{P}^{160} \) \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) passes through the point \( (0,-b) \) and the

W normal at \( P \) passes through the point \( (2 a \sqrt{2}, 0) \).
Then the eccentricity of the hyperbola is
(1) 2
(2) \( \sqrt{2} \)
(3) 3
(4) \( \sqrt{3} \)
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