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MathNet 2019-part-01 — 184 problems (EN–VI) Question 162

Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)

Question 162

The parabolas $y = x^2 - 2$ and $x = y^2 - 2$ intersect at the points $A$, $B$, $C$ and $D$, wherein $D$ lies in the third quadrant of the Cartesian plane.
Find the coordinates of the circumcenter of the triangle $ABC$.