Two circles are orthogonal (tangents at intersections are perpendicular). How must the points A and B be related?
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Solution
A and B are diametrically opposed.
![](https://mirangu.com/wp-content/uploads/2024/05/OrthogonalPartialEclipseSolution.jpg)
Kite through centres and points of intersection show that red angle + black angle = 90°, so A and B are on a diameter.