Circle through points tangent to line

1925SpecialistCoordinate GeometryGeometry

Harvard-MIT November Tournament

A circle passes through the points $(2,0)$ and $(4,0)$ and is tangent to the line $y = x$. Find the sum of all possible values for the $y$-coordinate of the center of the circle.

0 students attempted0% solvedRating 1925

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Circle through points tangent to line

1925SpecialistCoordinate GeometryGeometry

Harvard-MIT November Tournament

A circle passes through the points $(2,0)$ and $(4,0)$ and is tangent to the line $y = x$. Find the sum of all possible values for the $y$-coordinate of the center of the circle.

0 students attempted0% solvedRating 1925