# Locus of Circumcenters

Geometry Level 5

There is an ellipse $$d$$ with semi-major axis $$a$$ and semi-minor axis $$b$$. There is another ellipse $$e$$ inscribed inside ellipse $$d$$ with two points tangent.

For all the triangles $$T_i$$ for which $$d$$ is Steiner inellipse, $$e$$ is locus of their circumcenters.

Find $$\left(\dfrac{a}{b} \right)^2$$.

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