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