Angle Bisectors of a Pair of Lines Through the Origin

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For the pair of lines through the origin given by $$ax^2 + 2hxy + by^2 = 0,$$ the combined equation of their angle bisectors is:

$$\frac{a\,x + h\,y}{\sqrt{a^2 + h^2}} = \pm \frac{h\,x + b\,y}{\sqrt{h^2 + b^2}}.$$
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