The eccentricity of a hyperbola passing through the points (3, 0), $(3 \sqrt{2}, 2)$ will be

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Solution

The correct option is B

$\frac{9}{a^{2}} = 1 \Rightarrow a = 3 a n d \frac{18}{a^{2}} - \frac{4}{b^{2}} = 1 \Rightarrow b^{2} = 4$
Therefore, e= $\sqrt{1 + \frac{4}{9}} = \frac{\sqrt{13}}{3}$

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