You can help us to improve by giving your valuable suggestions at
By using the service of this site, I agree that I will serve wholeheartedly and will not indulge in any sort of activity that threats the integrity of the organisation I am working for / I work for.
I have a firm believe in the notion that knowledge should be open source and helping the needy and deserving part of society will always be my motto.
Knowledge is the power, Dont miss any paper, Subscribe to us
Given two points on a plane, the locus of points with a constant distance difference is a hyperbola.
What happens if there are three points on the plane? Concretely, if there are three points A, B, and C, I'm looking for locus of all points X such that mod(d(X, A) - d(X, B)) = mod(d(X, B) - d(X, C)) = mod(d(X, C) - d(X, A)) = constant.
Intuitively, it seems like no such points exist as the three hyperbola don't intersect at same points. How to make this formal?