The Department of Mathematics poses an occasional mathematics problem which will appear on bulletin boards
near the Department offices in Drew Science. It will also appear here. Generally, solutions will not
require any advanced mathematics. We welcome solutions from students, faculty, staff and strangers who
happen to walk or surf by.
The best student solutions will be posted and awared a cash prize of $5, or whatever loose change we have in
our pockets, and the winner will have her/his name published in a prestigious location.
Solutions must be, above all, correct but preference will be given to elegant and well-written solutions.
Partial solutions are also welcome.
Solutions should be submitted to Professor Guetter in DS 123A or sent to MB 140.
Department of Mathematics Problem
November, 2012
Given a circle with center
O and a point
M outside the circle show that a line can be
constructed through
M that intersects the circle at two points
A and
B such
that the angle ∠
AOB = ∠
OMA