TomBombadil
New member
- Joined
- Jun 28, 2021
- Messages
- 1
I am preparing for an exam and have bumped into the following problem.
I have divided it in the following steps:
1) Identify the coordinates of the foci (F = (-sqrt(a^2 - b^2), 0), F' = (sqrt(a^2 - b^2), 0) ),
2) Calculate the coordinates of the centroids ( G of MFF' = ( x/3, y/3) ),
3) Identify locus of centroids ( This is were I don`t know how to continue),
4) Prove locus of centroids is a homotethy of the given ellipse. ( I do not know how this should be done, either).
Any help whatsoever would be greatly appreciated, thank you.
I have divided it in the following steps:
1) Identify the coordinates of the foci (F = (-sqrt(a^2 - b^2), 0), F' = (sqrt(a^2 - b^2), 0) ),
2) Calculate the coordinates of the centroids ( G of MFF' = ( x/3, y/3) ),
3) Identify locus of centroids ( This is were I don`t know how to continue),
4) Prove locus of centroids is a homotethy of the given ellipse. ( I do not know how this should be done, either).
Any help whatsoever would be greatly appreciated, thank you.