MathDB

Distance between two curves

Source: Moldova MO 2007 12th grade day II problem 6

March 4, 2007

conicshyperbolaellipsetrigonometryfunctionalgebra proposedalgebra

Problem Statement

Show that the distance between a point on the hyperbola

xy=5

and a point on the ellipse

x^{2}+6y^{2}=6

is at least

\frac{9}{7}