Problem C. 1279. (February 2015)
C. 1279. Determine all squares that have vertex \(\displaystyle A\) at the point \(\displaystyle (4;-2)\), vertex \(\displaystyle B\) on the circle \(\displaystyle b\colon {(x-5)}^2+ {(y-2)}^2=25\), and vertex \(\displaystyle D\) on the line \(\displaystyle d\colon 4x+3y+2=0\).
(5 pont)
Deadline expired on March 10, 2015.
Statistics:
32 students sent a solution. 5 points: Bottlik Judit, Egyházi Anna, Erdei Ákos, Fülöp Erik, Kasó Ferenc, Kósa Szilárd, Matusek Márton, Sándor Gergely, Varjas István Péter. 4 points: Bereczki Zoltán, Kocsis-Savanya Miklós, Krisztián Jonatán, Mészáros 01 Viktória, Porupsánszki István, Vida Máté Gergely. 3 points: 7 students. 2 points: 5 students. 1 point: 2 students. 0 point: 3 students.
Problems in Mathematics of KöMaL, February 2015