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MathNet 2018-part-02 — 181 problems (EN–VI) Question 68

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 68

Find the locus of the centres of all circles that are externally tangent to the circle that satisfies $x^2 + y^2 - 4y + 3 = 0$, and that are also tangent to the $x$-axis.
*(Anastazija Pažanin)*