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Question

If the eccentricity of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ is $ \frac{5}{4} $ and $ 2x + 3y - 6 = 0 $ is a focal chord of the hyperbola, then the length of the transverse axis is equal to

$\frac{12}{5}$

$\frac{18}{5}$

$\frac{6}{5}$

$\frac{24}{5}$

Solution

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