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Omni-MATH / Find the least possible area of a convex set in the plane that intersects both…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find the least possible area of a convex set in the plane that intersects both branches of the hyperbola xy=1xy = 1 and both branches of the hyperbola xy=−1xy = -1. (A set SS in the plane is called \emph{convex} if for any two points in SS the line segment connecting them is contained in SS.)
Plain-text mathematical notation (without MathML)
Find the least possible area of a convex set in the plane that intersects both branches of the hyperbola xy=1 and both branches of the hyperbola xy=−1. (A set S in the plane is called \emph{convex} if for any two points in S the line segment connecting them is contained in S.)
Original LaTeX notation
Find the least possible area of a convex set in the plane that intersects both branches of the hyperbola $xy = 1$ and both branches of the hyperbola $xy = -1$. (A set $S$ in the plane is called \emph{convex} if for any two points in $S$ the line segment connecting them is contained in $S$.)

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Source and history

task_id
c036f95e-36de-5404-8641-042409f1e6b8
task_key
test--c036f95e-36de-5404-8641-042409f1e6b8
task_revision_id
1
config / split
/ test

Official source

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