Quadrilateral on Circle and Hyperbola

1800SpecialistCoordinate GeometryAlgebra

Harvard-MIT Mathematics Tournament

A convex quadrilateral is drawn in the coordinate plane such that each of its vertices $(x, y)$ satisfies the equations $x^{2}+y^{2}=73$ and $x y=24$. What is the area of this quadrilateral?

0 students attempted0% solvedRating 1800

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Quadrilateral on Circle and Hyperbola

1800SpecialistCoordinate GeometryAlgebra

Harvard-MIT Mathematics Tournament

A convex quadrilateral is drawn in the coordinate plane such that each of its vertices $(x, y)$ satisfies the equations $x^{2}+y^{2}=73$ and $x y=24$. What is the area of this quadrilateral?

0 students attempted0% solvedRating 1800