Mathematics

Problem

Let

P(6, 3)

be a point on the hyperbola

\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1

. If the normal at the point

P

intersects the

x

-axis at

(9, 0)

, then the eccentricity of the hyperbola is [2011] (a)

\sqrt{\frac{5}{2}}

(b)

\sqrt{\frac{3}{2}}

(c)

\sqrt{2}

(d)

\sqrt{3}