The tangent at a point P on the hyperbol...

The tangent at a point `P` on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` passes through the point `(0,-b)` and the normal at `P` passes through the point `(2asqrt(2),0)` . Then the eccentricity of the hyperbola is

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