Given two asymptotes $y=m_1x+b_1$ and $y=m_2x+b_2$, and a point on hyperbola $(p,q)$ is there a formula for finging an angle of rotation?
I've found a formula (How do I find the slope of an angle bisector, given the equations of the two lines that form the angle?) for finding two possible lines that contain the major axis, but I don't how to use the point to find unique line.
I got it. I just need to take a point on a bisector and check whether it has lies in the same (or opposite) quadrant as the given point.