Find the eccentricity of the hyperbola 9y2 - 4x2 = 36. - Vidyadip

Question

Find the eccentricity of the hyperbola 9y² - 4x² = 36.

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Answer

We have the hyperbola 9y² - 4x² = 36 Or $\frac{\text{x}^2}{9}-\frac{\text{y}^2}{4}=-1$ We kanow that $\text{a}^2=\text{b}^2(\text{e}^2-1)$ $\therefore\ 9=4(\text{e}^2-1)$ $\Rightarrow\text{e}=\sqrt{1+\frac{9}{4}}$ $\Rightarrow\text{e}=\frac{\sqrt{13}}{2}$

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