Determine the equation of bisectors of the angle between the lines $4 x^{2} - 16 x y - 7 y^{2} = 0$ .

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Solution

Given,
$a = 4, b = - 7, h = - 8$
We know that,
Bisectors are $\frac{x^{2} - y^{2}}{a - b} = \frac{x y}{b}$
i.e., $\frac{x^{2} - y^{2}}{11} = \frac{x y}{- 8}$ .

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