One asymptote of the hyperbola $2 x^{2} + 3 x y - 2 y^{2} - 7 x + y + 6 = 0$ is $x + 2 y - 3 = 0$ . Then the other asymptote is

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Solution

$\begin{matrix} y = \frac{3}{2} - \frac{x}{2} y = \frac{3}{2} - \frac{1}{2} (x - 1) - \frac{1}{2} y = 1 - \frac{1}{2} (x - 1) o t h e r a s y m p t o t e y = 1 + 2 (x - 1) 2 x - y - 1 = 0 \end{matrix}$

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