# Really? I don't believe it

Geometry Level 3

$$A$$ and $$B$$ are two points in $$\mathbb{R}^2$$. What is the locus of a variable point which moves in such a way that the ratio of its distances from $$A$$ and $$B$$ is always $$\lambda:1$$, where $$\lambda$$ is a positive real number not equal to $$1$$?

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