# Stop there, locus!

Geometry Level 3

Find the equation of the locus of a point which moves such that the ratio of its distances from $$(2,0)$$ and $$(1,3)$$ is $$5:4$$.

If the equation can be written as $$9{ x }^{ 2 }+{ 9y }^{ 2 }+14x-150y+\alpha =0$$, find $$\alpha$$.

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