Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem A. 426. (April 2007)

A. 426. For arbitrary positive numbers a, b, c, compute the radius of the greatest circle contained by the ellipsoid


\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1.

Czech competition problem

(5 pont)

Deadline expired on May 15, 2007.


Statistics:

8 students sent a solution.
5 points:Gyenizse Gergő, Kisfaludi-Bak Sándor, Lovász László Miklós, Nagy 224 Csaba, Tomon István.
2 points:2 students.
Unfair, not evaluated:1 solution.

Problems in Mathematics of KöMaL, April 2007