Hyperbola#1

Geometry Level 3

The tangent at a point P on the hyperbola (x/a)^2-(y/b)^2=1 passes through the point (0,-b) and the normal at P passes through (a*2^1.5,0), then the eccentricity of the hyperbola is

3/2 5/4 2^1.5 2^0.5

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