Mathematical and Physical Journal
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Problem B. 4764. (January 2016)

B. 4764. In the rectangular coordinate plane, consider all lines with equations of the form \(\displaystyle aX+\frac{Y}{a}=2\), where \(\displaystyle a\) is a real number. Determine the set of those points in the plane that do not lie on any of the lines.

(5 pont)

Deadline expired on February 10, 2016.


Statistics:

107 students sent a solution.
5 points:Alexy Marcell, Andó Angelika, Ardai István Tamás, Barabás Ábel, Baran Zsuzsanna, Bereczki Ádám, Bindics Boldizsár, Bodolai Előd, Busa 423 Máté, Dobák Dávid, Dömsödi Bálint, Fajszi Bulcsú, Fuisz Gábor, Gáspár Attila, Glasznova Maja, Horváth András János, Jakus Balázs István, Kasó Ferenc, Kerekes Anna, Keresztes László, Kondákor Márk, Kosztolányi Kata, Kovács 246 Benedek, Kővári Péter Viktor, Lajos Hanka, Matolcsi Dávid, Németh 123 Balázs, Nguyen Viet Hung, Noszály Áron, Pálfy Máté András, Páli Petra, Polgár Márton, Radnai Bálint, Schrettner Bálint, Schrettner Jakab, Stein Ármin, Szakály Marcell, Szécsényi Nándor, Szemerédi Levente, Umann Péter Andor, Varga-Umbrich Eszter, Vári-Kakas Andor, Velkey Vince.
4 points:43 students.
3 points:12 students.
2 points:3 students.
1 point:2 students.
0 point:1 student.
Unfair, not evaluated:3 solutions.

Problems in Mathematics of KöMaL, January 2016